Fluid Mechanics and ThermodynamicsWeekly Assessed Tutorial Sheets

Student Sheets: WATS 3.

The WATS approach to assessment was developed as part of an LTSN Engineering Mini-Project, funded at the University of Hertfordshire which aimed to develop a set of 'student unique' tutorial sheets to actively encourage and improve student participation within a first year first ‘fluid mechanics and thermodynamics’ module. Please see the accompanying Mini-Project Report “Improving student success and retention through greater participation and tackling student-unique tutorial sheets” for more information.

The WATS cover core Fluid Mechanics and Thermodynamics topics at first year undergraduate level. 11 tutorial sheets and their worked solutions are provided here for you to utilise in your teaching. The variables within each question can be altered so that each student answers the same question but will need to produce a unique solution.

FURTHER INFORMATION

Please see http://tinyurl.com/2wf2lfh to access the WATS Random Factor Generating Wizard.

There are also explanatory videos on how to use the Wizard and how to implement WATS available at http://www.youtube.com/user/MBRBLU#p/u/7/0wgC4wy1cV0 and http://www.youtube.com/user/MBRBLU#p/u/6/MGpueiPHpqk.

For more information on WATS, its use and impact on students please contact Mark Russell, School of Aerospace, Automotive and Design Engineering at University of Hertfordshire.

© University of Hertfordshire 2009 This work is licensed under a Creative Commons Attribution 2.0 License.

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 1

Name

Hand out date Hand in date

Q1. A 6cm diameter pipe conveying a fluid of relative density 0.66 has a downward slope of 1 in 55. At point ‘A’ in the pipe the static (gauge) pressure is 1325 kN/m2. Calculate –

i) the static gauge pressure in the pipe 90 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 62 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 4.70cm diameter pipe rising directly from an open tank to a height of 2.80m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 9.20m below point A. Assuming the fluid has a relative density of 0.97 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.79 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.18m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 1

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 2

Name

Hand out date Hand in date

Q1. A 4cm diameter pipe conveying a fluid of relative density 0.64 has a downward slope of 1 in 35. At point ‘A’ in the pipe the static (gauge) pressure is 525 kN/m2. Calculate –

i) the static gauge pressure in the pipe 96 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 20 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 8.90cm diameter pipe rising directly from an open tank to a height of 3.30m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 12.00m below point A. Assuming the fluid has a relative density of 0.67 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.70 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.34m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 2

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 3

Name

Hand out date Hand in date

Q1. A 8cm diameter pipe conveying a fluid of relative density 0.87 has a downward slope of 1 in 50. At point ‘A’ in the pipe the static (gauge) pressure is 1450 kN/m2. Calculate –

i) the static gauge pressure in the pipe 86 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 58 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 1.60cm diameter pipe rising directly from an open tank to a height of 3.70m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 7.20m below point A. Assuming the fluid has a relative density of 0.69 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.99 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 9.81m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 3

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 4

Name

Hand out date Hand in date

Q1. A 8cm diameter pipe conveying a fluid of relative density 0.67 has a downward slope of 1 in 70. At point ‘A’ in the pipe the static (gauge) pressure is 875 kN/m2. Calculate –

i) the static gauge pressure in the pipe 50 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 76 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 5.30cm diameter pipe rising directly from an open tank to a height of 1.00m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 10.70m below point A. Assuming the fluid has a relative density of 0.91 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.58 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 9.91m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 4

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 5

Name

Hand out date Hand in date

Q1. A 8cm diameter pipe conveying a fluid of relative density 0.78 has a downward slope of 1 in 65. At point ‘A’ in the pipe the static (gauge) pressure is 1400 kN/m2. Calculate –

i) the static gauge pressure in the pipe 84 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 98 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 8.00cm diameter pipe rising directly from an open tank to a height of 2.10m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 9.80m below point A. Assuming the fluid has a relative density of 0.84 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.61 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.39m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 5

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 6

Name

Hand out date Hand in date

Q1. A 5cm diameter pipe conveying a fluid of relative density 0.77 has a downward slope of 1 in 40. At point ‘A’ in the pipe the static (gauge) pressure is 1325 kN/m2. Calculate –

i) the static gauge pressure in the pipe 48 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 12 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 4.00cm diameter pipe rising directly from an open tank to a height of 3.50m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 14.20m below point A. Assuming the fluid has a relative density of 0.81 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.57 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.33m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 6

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 7

Name

Hand out date Hand in date

Q1. A 8cm diameter pipe conveying a fluid of relative density 0.89 has a downward slope of 1 in 45. At point ‘A’ in the pipe the static (gauge) pressure is 725 kN/m2. Calculate –

i) the static gauge pressure in the pipe 70 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 80 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 2.30cm diameter pipe rising directly from an open tank to a height of 3.70m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 7.20m below point A. Assuming the fluid has a relative density of 0.89 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.91 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.34m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 7

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 8

Name

Hand out date Hand in date

Q1. A 10cm diameter pipe conveying a fluid of relative density 0.92 has a downward slope of 1 in 25. At point ‘A’ in the pipe the static (gauge) pressure is 1400 kN/m2. Calculate –

i) the static gauge pressure in the pipe 10 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 34 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 6.60cm diameter pipe rising directly from an open tank to a height of 4.40m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 12.10m below point A. Assuming the fluid has a relative density of 0.75 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.72 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.26m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 8

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 9

Name

Hand out date Hand in date

Q1. A 2cm diameter pipe conveying a fluid of relative density 0.64 has a downward slope of 1 in 30. At point ‘A’ in the pipe the static (gauge) pressure is 1175 kN/m2. Calculate –

i) the static gauge pressure in the pipe 64 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 18 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 4.80cm diameter pipe rising directly from an open tank to a height of 1.00m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 15.00m below point A. Assuming the fluid has a relative density of 0.63 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.83 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.01m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 9

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 10

Name

Hand out date Hand in date

Q1. A 5cm diameter pipe conveying a fluid of relative density 0.66 has a downward slope of 1 in 55. At point ‘A’ in the pipe the static (gauge) pressure is 525 kN/m2. Calculate –

i) the static gauge pressure in the pipe 72 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 82 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 2.80cm diameter pipe rising directly from an open tank to a height of 3.60m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 12.40m below point A. Assuming the fluid has a relative density of 0.80 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.79 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.39m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 10

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 11

Name

Hand out date Hand in date

Q1. A 8cm diameter pipe conveying a fluid of relative density 0.67 has a downward slope of 1 in 55. At point ‘A’ in the pipe the static (gauge) pressure is 700 kN/m2. Calculate –

i) the static gauge pressure in the pipe 36 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 78 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 9.00cm diameter pipe rising directly from an open tank to a height of 3.70m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 14.80m below point A. Assuming the fluid has a relative density of 0.96 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.86 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 9.95m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 11

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 12

Name

Hand out date Hand in date

Q1. A 7cm diameter pipe conveying a fluid of relative density 0.94 has a downward slope of 1 in 65. At point ‘A’ in the pipe the static (gauge) pressure is 950 kN/m2. Calculate –

i) the static gauge pressure in the pipe 50 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 52 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 1.80cm diameter pipe rising directly from an open tank to a height of 1.90m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 7.90m below point A. Assuming the fluid has a relative density of 0.74 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.63 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 9.91m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 12

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 13

Name

Hand out date Hand in date

Q1. A 4cm diameter pipe conveying a fluid of relative density 0.88 has a downward slope of 1 in 25. At point ‘A’ in the pipe the static (gauge) pressure is 800 kN/m2. Calculate –

i) the static gauge pressure in the pipe 44 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 70 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 5.10cm diameter pipe rising directly from an open tank to a height of 1.30m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 9.90m below point A. Assuming the fluid has a relative density of 0.82 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.60 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 9.82m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 13

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 14

Name

Hand out date Hand in date

Q1. A 7cm diameter pipe conveying a fluid of relative density 0.70 has a downward slope of 1 in 50. At point ‘A’ in the pipe the static (gauge) pressure is 1350 kN/m2. Calculate –

i) the static gauge pressure in the pipe 40 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 24 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 3.50cm diameter pipe rising directly from an open tank to a height of 4.40m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 7.80m below point A. Assuming the fluid has a relative density of 0.91 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.80 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.35m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 14

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 15

Name

Hand out date Hand in date

Q1. A 4cm diameter pipe conveying a fluid of relative density 0.92 has a downward slope of 1 in 45. At point ‘A’ in the pipe the static (gauge) pressure is 850 kN/m2. Calculate –

i) the static gauge pressure in the pipe 98 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 66 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 6.60cm diameter pipe rising directly from an open tank to a height of 3.70m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 9.90m below point A. Assuming the fluid has a relative density of 0.82 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.83 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 9.91m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 15

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 16

Name

Hand out date Hand in date

Q1. A 9cm diameter pipe conveying a fluid of relative density 0.91 has a downward slope of 1 in 30. At point ‘A’ in the pipe the static (gauge) pressure is 1350 kN/m2. Calculate –

i) the static gauge pressure in the pipe 34 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 78 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 7.50cm diameter pipe rising directly from an open tank to a height of 1.60m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 8.60m below point A. Assuming the fluid has a relative density of 0.86 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.74 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 9.94m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 16

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 17

Name

Hand out date Hand in date

Q1. A 10cm diameter pipe conveying a fluid of relative density 0.78 has a downward slope of 1 in 75. At point ‘A’ in the pipe the static (gauge) pressure is 1100 kN/m2. Calculate –

i) the static gauge pressure in the pipe 70 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 42 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 5.90cm diameter pipe rising directly from an open tank to a height of 1.70m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 10.10m below point A. Assuming the fluid has a relative density of 0.79 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.82 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 9.81m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 17

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 18

Name

Hand out date Hand in date

Q1. A 4cm diameter pipe conveying a fluid of relative density 0.91 has a downward slope of 1 in 35. At point ‘A’ in the pipe the static (gauge) pressure is 1450 kN/m2. Calculate –

i) the static gauge pressure in the pipe 94 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 40 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 6.40cm diameter pipe rising directly from an open tank to a height of 2.20m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 13.50m below point A. Assuming the fluid has a relative density of 0.86 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.58 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.19m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 18

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 19

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Q1. A 10cm diameter pipe conveying a fluid of relative density 0.68 has a downward slope of 1 in 45. At point ‘A’ in the pipe the static (gauge) pressure is 525 kN/m2. Calculate –

i) the static gauge pressure in the pipe 62 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 78 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 5.40cm diameter pipe rising directly from an open tank to a height of 1.50m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 12.80m below point A. Assuming the fluid has a relative density of 0.89 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.67 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.22m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 19

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 20

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Q1. A 6cm diameter pipe conveying a fluid of relative density 0.74 has a downward slope of 1 in 45. At point ‘A’ in the pipe the static (gauge) pressure is 1100 kN/m2. Calculate –

i) the static gauge pressure in the pipe 26 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 46 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 8.40cm diameter pipe rising directly from an open tank to a height of 4.30m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 14.70m below point A. Assuming the fluid has a relative density of 0.67 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.64 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 9.94m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 20

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 21

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Q1. A 10cm diameter pipe conveying a fluid of relative density 0.73 has a downward slope of 1 in 70. At point ‘A’ in the pipe the static (gauge) pressure is 1150 kN/m2. Calculate –

i) the static gauge pressure in the pipe 84 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 42 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 4.80cm diameter pipe rising directly from an open tank to a height of 3.70m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 10.00m below point A. Assuming the fluid has a relative density of 0.90 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.85 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.11m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 21

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 22

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Q1. A 2cm diameter pipe conveying a fluid of relative density 0.77 has a downward slope of 1 in 30. At point ‘A’ in the pipe the static (gauge) pressure is 1200 kN/m2. Calculate –

i) the static gauge pressure in the pipe 50 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 72 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 8.80cm diameter pipe rising directly from an open tank to a height of 2.60m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 9.80m below point A. Assuming the fluid has a relative density of 0.87 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.92 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 9.81m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 22

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 23

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Q1. A 3cm diameter pipe conveying a fluid of relative density 0.62 has a downward slope of 1 in 40. At point ‘A’ in the pipe the static (gauge) pressure is 550 kN/m2. Calculate –

i) the static gauge pressure in the pipe 14 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 28 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 9.60cm diameter pipe rising directly from an open tank to a height of 2.90m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 8.70m below point A. Assuming the fluid has a relative density of 0.76 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.82 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.00m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 23

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 24

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Q1. A 8cm diameter pipe conveying a fluid of relative density 0.68 has a downward slope of 1 in 40. At point ‘A’ in the pipe the static (gauge) pressure is 700 kN/m2. Calculate –

i) the static gauge pressure in the pipe 64 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 94 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 7.00cm diameter pipe rising directly from an open tank to a height of 4.90m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 11.80m below point A. Assuming the fluid has a relative density of 0.69 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.85 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.19m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 24

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 25

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Q1. A 2cm diameter pipe conveying a fluid of relative density 0.96 has a downward slope of 1 in 25. At point ‘A’ in the pipe the static (gauge) pressure is 675 kN/m2. Calculate –

i) the static gauge pressure in the pipe 52 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 78 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 4.80cm diameter pipe rising directly from an open tank to a height of 1.50m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 10.30m below point A. Assuming the fluid has a relative density of 0.79 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.78 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.06m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 25

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 26

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Q1. A 5cm diameter pipe conveying a fluid of relative density 0.93 has a downward slope of 1 in 40. At point ‘A’ in the pipe the static (gauge) pressure is 1400 kN/m2. Calculate –

i) the static gauge pressure in the pipe 86 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 22 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 1.00cm diameter pipe rising directly from an open tank to a height of 2.20m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 13.10m below point A. Assuming the fluid has a relative density of 0.65 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.61 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 9.93m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 26

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 27

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Q1. A 10cm diameter pipe conveying a fluid of relative density 0.91 has a downward slope of 1 in 70. At point ‘A’ in the pipe the static (gauge) pressure is 750 kN/m2. Calculate –

i) the static gauge pressure in the pipe 90 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 32 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 4.00cm diameter pipe rising directly from an open tank to a height of 3.30m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 7.30m below point A. Assuming the fluid has a relative density of 0.91 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.57 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.10m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 27

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 28

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Q1. A 5cm diameter pipe conveying a fluid of relative density 0.70 has a downward slope of 1 in 55. At point ‘A’ in the pipe the static (gauge) pressure is 1250 kN/m2. Calculate –

i) the static gauge pressure in the pipe 20 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 80 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 9.50cm diameter pipe rising directly from an open tank to a height of 2.60m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 7.70m below point A. Assuming the fluid has a relative density of 0.64 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.54 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.08m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 28

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 29

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Q1. A 3cm diameter pipe conveying a fluid of relative density 0.87 has a downward slope of 1 in 25. At point ‘A’ in the pipe the static (gauge) pressure is 650 kN/m2. Calculate –

i) the static gauge pressure in the pipe 22 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 20 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 9.60cm diameter pipe rising directly from an open tank to a height of 4.50m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 14.70m below point A. Assuming the fluid has a relative density of 0.67 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.67 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.32m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 29

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 30

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Q1. A 7cm diameter pipe conveying a fluid of relative density 0.73 has a downward slope of 1 in 30. At point ‘A’ in the pipe the static (gauge) pressure is 625 kN/m2. Calculate –

i) the static gauge pressure in the pipe 54 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 68 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 6.80cm diameter pipe rising directly from an open tank to a height of 3.30m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 7.20m below point A. Assuming the fluid has a relative density of 0.78 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.75 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 9.92m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 30

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 31

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Q1. A 5cm diameter pipe conveying a fluid of relative density 0.64 has a downward slope of 1 in 60. At point ‘A’ in the pipe the static (gauge) pressure is 1350 kN/m2. Calculate –

i) the static gauge pressure in the pipe 72 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 84 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 3.20cm diameter pipe rising directly from an open tank to a height of 2.00m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 7.00m below point A. Assuming the fluid has a relative density of 0.98 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.83 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 9.86m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 31

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 32

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Q1. A 5cm diameter pipe conveying a fluid of relative density 0.71 has a downward slope of 1 in 30. At point ‘A’ in the pipe the static (gauge) pressure is 975 kN/m2. Calculate –

i) the static gauge pressure in the pipe 14 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 66 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 4.00cm diameter pipe rising directly from an open tank to a height of 2.90m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 11.20m below point A. Assuming the fluid has a relative density of 0.82 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.80 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.28m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 32

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 33

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Q1. A 4cm diameter pipe conveying a fluid of relative density 0.82 has a downward slope of 1 in 60. At point ‘A’ in the pipe the static (gauge) pressure is 725 kN/m2. Calculate –

i) the static gauge pressure in the pipe 64 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 92 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 9.90cm diameter pipe rising directly from an open tank to a height of 2.40m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 9.30m below point A. Assuming the fluid has a relative density of 0.83 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.82 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.20m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 33

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 34

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Q1. A 7cm diameter pipe conveying a fluid of relative density 0.72 has a downward slope of 1 in 50. At point ‘A’ in the pipe the static (gauge) pressure is 750 kN/m2. Calculate –

i) the static gauge pressure in the pipe 80 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 86 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 6.60cm diameter pipe rising directly from an open tank to a height of 3.30m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 11.40m below point A. Assuming the fluid has a relative density of 0.90 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 1.00 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 9.97m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 34

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 35

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Q1. A 6cm diameter pipe conveying a fluid of relative density 0.72 has a downward slope of 1 in 75. At point ‘A’ in the pipe the static (gauge) pressure is 550 kN/m2. Calculate –

i) the static gauge pressure in the pipe 64 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 22 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 2.40cm diameter pipe rising directly from an open tank to a height of 4.00m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 14.70m below point A. Assuming the fluid has a relative density of 0.75 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.85 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 9.80m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 35

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 36

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Q1. A 4cm diameter pipe conveying a fluid of relative density 0.76 has a downward slope of 1 in 25. At point ‘A’ in the pipe the static (gauge) pressure is 575 kN/m2. Calculate –

i) the static gauge pressure in the pipe 94 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 16 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 9.60cm diameter pipe rising directly from an open tank to a height of 3.70m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 13.40m below point A. Assuming the fluid has a relative density of 0.71 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.88 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 9.99m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 36

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 37

Name

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Q1. A 5cm diameter pipe conveying a fluid of relative density 0.76 has a downward slope of 1 in 40. At point ‘A’ in the pipe the static (gauge) pressure is 775 kN/m2. Calculate –

i) the static gauge pressure in the pipe 58 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 22 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 6.20cm diameter pipe rising directly from an open tank to a height of 4.00m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 15.00m below point A. Assuming the fluid has a relative density of 0.97 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.51 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.28m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 37

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 38

Name

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Q1. A 9cm diameter pipe conveying a fluid of relative density 0.86 has a downward slope of 1 in 60. At point ‘A’ in the pipe the static (gauge) pressure is 550 kN/m2. Calculate –

i) the static gauge pressure in the pipe 54 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 40 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 5.10cm diameter pipe rising directly from an open tank to a height of 4.90m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 12.90m below point A. Assuming the fluid has a relative density of 0.79 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.76 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.19m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 38

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 39

Name

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Q1. A 7cm diameter pipe conveying a fluid of relative density 0.97 has a downward slope of 1 in 40. At point ‘A’ in the pipe the static (gauge) pressure is 1000 kN/m2. Calculate –

i) the static gauge pressure in the pipe 92 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 14 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 8.60cm diameter pipe rising directly from an open tank to a height of 2.30m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 10.10m below point A. Assuming the fluid has a relative density of 0.71 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.97 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.10m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 39

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 40

Name

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Q1. A 3cm diameter pipe conveying a fluid of relative density 0.80 has a downward slope of 1 in 70. At point ‘A’ in the pipe the static (gauge) pressure is 950 kN/m2. Calculate –

i) the static gauge pressure in the pipe 96 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 94 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 8.80cm diameter pipe rising directly from an open tank to a height of 1.20m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 14.40m below point A. Assuming the fluid has a relative density of 0.77 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.95 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.25m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 40

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 41

Name

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Q1. A 8cm diameter pipe conveying a fluid of relative density 0.83 has a downward slope of 1 in 40. At point ‘A’ in the pipe the static (gauge) pressure is 1325 kN/m2. Calculate –

i) the static gauge pressure in the pipe 90 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 72 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 4.40cm diameter pipe rising directly from an open tank to a height of 2.90m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 11.00m below point A. Assuming the fluid has a relative density of 0.83 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.71 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 9.82m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 41

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 42

Name

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Q1. A 9cm diameter pipe conveying a fluid of relative density 0.78 has a downward slope of 1 in 50. At point ‘A’ in the pipe the static (gauge) pressure is 1075 kN/m2. Calculate –

i) the static gauge pressure in the pipe 44 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 46 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 8.90cm diameter pipe rising directly from an open tank to a height of 2.40m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 10.40m below point A. Assuming the fluid has a relative density of 0.85 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.52 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.24m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 42

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 43

Name

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Q1. A 6cm diameter pipe conveying a fluid of relative density 0.71 has a downward slope of 1 in 25. At point ‘A’ in the pipe the static (gauge) pressure is 1300 kN/m2. Calculate –

i) the static gauge pressure in the pipe 46 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 68 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 9.30cm diameter pipe rising directly from an open tank to a height of 3.70m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 13.20m below point A. Assuming the fluid has a relative density of 0.67 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.90 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.32m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 43

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 44

Name

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Q1. A 5cm diameter pipe conveying a fluid of relative density 0.95 has a downward slope of 1 in 20. At point ‘A’ in the pipe the static (gauge) pressure is 1475 kN/m2. Calculate –

i) the static gauge pressure in the pipe 62 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 98 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 6.40cm diameter pipe rising directly from an open tank to a height of 3.90m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 12.30m below point A. Assuming the fluid has a relative density of 0.64 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.83 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.06m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 44

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 45

Name

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Q1. A 6cm diameter pipe conveying a fluid of relative density 0.74 has a downward slope of 1 in 70. At point ‘A’ in the pipe the static (gauge) pressure is 1175 kN/m2. Calculate –

i) the static gauge pressure in the pipe 54 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 96 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 1.80cm diameter pipe rising directly from an open tank to a height of 3.50m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 11.50m below point A. Assuming the fluid has a relative density of 0.78 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.92 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 9.95m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 45

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 46

Name

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Q1. A 6cm diameter pipe conveying a fluid of relative density 0.71 has a downward slope of 1 in 30. At point ‘A’ in the pipe the static (gauge) pressure is 1225 kN/m2. Calculate –

i) the static gauge pressure in the pipe 70 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 36 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 4.10cm diameter pipe rising directly from an open tank to a height of 3.00m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 10.20m below point A. Assuming the fluid has a relative density of 0.80 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.53 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.31m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 46

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 47

Name

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Q1. A 5cm diameter pipe conveying a fluid of relative density 0.90 has a downward slope of 1 in 30. At point ‘A’ in the pipe the static (gauge) pressure is 1500 kN/m2. Calculate –

i) the static gauge pressure in the pipe 10 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 74 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 4.00cm diameter pipe rising directly from an open tank to a height of 2.50m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 9.10m below point A. Assuming the fluid has a relative density of 0.79 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.95 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.27m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 47

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 48

Name

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Q1. A 2cm diameter pipe conveying a fluid of relative density 0.84 has a downward slope of 1 in 40. At point ‘A’ in the pipe the static (gauge) pressure is 675 kN/m2. Calculate –

i) the static gauge pressure in the pipe 90 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 28 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 6.70cm diameter pipe rising directly from an open tank to a height of 2.60m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 14.80m below point A. Assuming the fluid has a relative density of 0.93 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.78 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.25m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 48

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 49

Name

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Q1. A 10cm diameter pipe conveying a fluid of relative density 0.80 has a downward slope of 1 in 75. At point ‘A’ in the pipe the static (gauge) pressure is 775 kN/m2. Calculate –

i) the static gauge pressure in the pipe 52 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 30 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 1.20cm diameter pipe rising directly from an open tank to a height of 3.00m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 13.10m below point A. Assuming the fluid has a relative density of 0.81 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.82 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 9.86m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 49

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 3.

Student Number 50

Name

Hand out date Hand in date

Q1. A 5cm diameter pipe conveying a fluid of relative density 0.93 has a downward slope of 1 in 50. At point ‘A’ in the pipe the static (gauge) pressure is 1225 kN/m2. Calculate –

i) the static gauge pressure in the pipe 58 m downstream of point A. (kN/m2) 2 marksii) the static gauge pressure in the pipe 94 m upstream of point A. (kN/m2) 2 marks

Q2. A siphon consists of a 5.30cm diameter pipe rising directly from an open tank to a height of 1.50m above the fluids free surface. At this point, ‘A’, the pipe bends downwards and continues to drop until point B. Point B being the siphons discharge 14.10m below point A. Assuming the fluid has a relative density of 0.62 calculate –

i) the velocity of the fluid in the pipe. (m/s) 2 marksii) the volumetric fluid flow rate through the siphon (m3/s) 1 markiii) the mass flow rate of fluid through the siphon. (kg/s) 1 mark

Assume now that the length A→B changes but the height of A does not change with respect to the free surface. Assume also that that the head at point A should not fall below 0.58 m of water at 4ºC. Calculate -

iv) the new volumetric fluid flow rate through the siphon (m3/s) 3 marksv) the new length to A→B (m) 2 marks

Take the atmospheric pressure as being equivalent to 10.17m head of water at 4ºC. You may assume that the density of water at 4ºC is 1000 kg/m3 and that the acceleration due to gravity is 9.81 m/s2. Pi = 3.142.

WATS 3. Student Number 50

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