ME3O04-Fall 2008 Assignment 1 Page 1 of 1

1) Give a word statement of each of the following basic conservation laws:- a. The Newton’s second law of motion. b. The first law of Thermodynamics.

2) Using a diagram or a sketch, discuss the meaning or the definition of the following:-

a. A fluid. b. Shear force and normal force. c. The no-slip condition. d. A basic or general law. e. Couette flow.

3) What are the methods of description and methods of analysis used in fluid mechanics?

Solve the following problems from the textbook:- 4) 1.9. 5) 1.22. 6) 1.28. 7) 1.32.

ME3O04-Fall 2008 Assignment 2 Page 1 of 1

1) Using a diagram or a sketch when applicable, discuss the meaning or the definition of the following:-

a. Fluid as a continuum. b. A streamline, a timeline, and a streakline.

2) A trail of ants marching out of a hole in the ground. What kind of line does this trail represent?

Solve the following problems from the textbook:- 3) 2.17 4) 2.24 5) 2.48 6) 2.65 7) 2.72

ME3O04-Fall 2008 Assignment 3 Page 1 of 1

1) Define each term in the basic equation of fluid statics.

2) Is it possible that the hydrostatic force on a submerged surface be inclined on the surface? Explain your answer. Solve the following problems from the textbook:- 3) 3.14 4) 3.21 5) 3.50 6) 3.65

ME3O04-Fall 2008 Assignment 4 Page 1 of 1

1) What is the meaning of each term of the following mass conservation equation? Solve the following problems from the textbook:- 2) 4.11 3) 4.18 4) 4.34 5) 4.49 6) 4.50

0. =+∀∂∂

=⎟⎠⎞ ∫∫

CSCVsystem

AdVdtdt

dM rrρρ

ME3O04-Fall 2008 Assignment 5 Page 1 of 1

1) What is the meaning of each term of the following momentum conservation

equation? What is the definition of the “system” in this equation? Can the right hand side of this equation be equal to zero? When? Explain your answer.

Solve the following problems from the textbook:- 2) 4.66 3) 4.68 4) 4.81 5) 4.87 6) 4.107

∫∫ +∀∂∂

=⎟⎟⎠

⎞

CSCVsystem

AdVVdVtdt

Pd rrrrr

.ρρ

ME3O04-Fall 2008 Assignment 6 Page 1 of 1

1. Explain the difference between dtdx

tx and ∂∂ in the Eulerian description.

Solve the following problems from the textbook:- 2. 5.13 3. 5.43 4. 5.49 5. 5.59 6. 5.83

ME3O04-Fall 2008 Assignment 7 Page 1 of 1

1. Under what condition(s) one would be able to use Euler’s equation.

Solve the following problems from the textbook:- 2. 6.11 3. 6.22 4. 6.27 5. 6.65 6. 6.77

ME3O04-Fall 2008 Assignment 8 Page 1 of 1

1. What is the meaning of similitude?

2. What is the advantage of determining the set of important (relevant) dimensionless numbers in any problem?

Solve the following problems from the textbook:- 3. 7.4 4. 7.26 5. 7.33 6. 7.39

ME3O04-Fall 2008 Assignment 9 Page 1 of 1

1. What are the conditions needed to achieve dynamic similarity between a model and its prototype?

Solve the following problems from the textbook:- 2. 7.50 3. 7.59 4. 7.74.

ME3O04-Fall 2008 Assignment 10 Page 1 of 1

1. Define the boundary layer and the entrance length. Why does the boundary layer get thicker along the entrance length?

Solve the following problems from the textbook:- 2. 8.3 3. 8.22 4. 8.84. 5. 8.108.

ME3O04-Fall 2008 Assignment 11 Page 1 of 1

1. Discuss the use of the displacement thicknesses , δ*, in practical applications.

Solve the following problems from the textbook:- 2. 9.25. 3. 9.113. 4. 9.121.