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Bulk Modulus
Case study 1. Developing HYSYS Material Stream 1.1. Component
and Fluid List Selection
Select the Fluid Components of the stream and Fluid Packages
Figure 1: Fluid Component
Figure 2 : Fluid package
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Bulk Modulus
Case study 1.2. Stream Composition and Operating Parameters
Provide Stream Composition of Material Stream and Operating
Parameters (Pressure, Temperature, Flow rate, Vapour fraction, etc)
for which the Bulk modules to be calculated.
Figure 3: Stream composition
Figure 4: Operating conditions
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Bulk Modulus
Case study 1.3. Fluid Properties Note the mass density of the
fluid calculated at the operating conditions.
Figure 5: Fluid Properties
1.4. Property Table In Attachment tab, click on Analysis option
and Create which shall open a new window of Available Stream
Analysis. Click on Property Table and select Add.
Figure 6: Property Table
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Bulk Modulus
Case study 1.5. Property Table- Independent variables In
Property Table window, Name the table suitable.
In Independent Variable option
1) Variable 1, Temperature select Lower Bound the operating
temperature of the fluid and Upper Bound as 1 degree higher than
Operating Temperature. Select # of Increment as 1.
2) Variable Option 2, Pressure select Lower Bound the vapour
pressure of the fluid at operating temperature of the fluid and
Upper Bound as maximum Surge pressure estimated / Piping design
pressure. Select # of Increment as 10.
Figure 7: Property Table- Independent variables
1.6. Property Table Dep. Properties In the same Design tab,
Click on Dep. Prop (below the Connections option) and click Add
which will open another window Variable Navigator.
Scroll through variables and Select Mass Density and Click
OK
Click on Calculate at the bottom of the tab.
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Bulk Modulus
Case study
Figure 8: Property Table Dep. Properties
Figure 9: Property Table Dep. Properties (Mass Density)
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Bulk Modulus
Case study 1.7. Property Table Performance In performance tab,
select the Table option, where you can find the Temperature,
Pressure and Mass Density data at Operating Temperature and 1
degree higher temperature.
Figure 10: Property Table Performance (Table)
In the same tab, click on Plots and View Plots to see graph of
the Density v/s Pressure at different temperature.
Figure 11: Property Table Performance (Plot)
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Case study 2. Bulk Modulus2.1. Bulk Modulus (K)The bulk modulus
can be formally defined by the equation
Where is pressure, is volume, and Equivalently
Where is density and dP/d denotes the derivative of pressure
with respect tbulk modulus gives a substance's compressibility
2.2. Calculating dp and d1) As per the Property Table
Performance
Note down the minimum and maximum (High and Low) (ignore the
Vapour phase and
2) dP = PHigh - PLow 3) d = High - Low
2.3. Calculating Bulk Modulus
Where,
K is Bulk Modulus (Pascal)
is Density at operating conditions (kg/m3)
dP is Pressure difference (Pascal) d is density difference
(kg/m3)
1 http://en.wikipedia.org/wiki/Bulk_modulus
Bulk Modulus calculation ) 1
can be formally defined by the equation
is volume, and denotes the derivative of pressure with respect
to volume.
denotes the derivative of pressure with respect to density. The
inverse of the compressibility.
Calculating dp and d Performance (Table) mentioned in Figure
10,
ximum pressures (PHigh and PLow) and corresponding Mass
Densit(ignore the Vapour phase and 2 phase L-V values)
Bulk Modulus
conditions (kg/m3) (Calculated in Figure 5)
dulus
of pressure with respect to volume.
o density. The inverse of the
and corresponding Mass Densities
