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The following table lists assigned readings. Note that additional reading materials are listed at the study materials page.
[K&C] = Kundu, Pijush K., and Ira M. Cohen. Fluid Mechanics. 3rd ed. Burlington, MA: Elsevier, 2004. ISBN: 9780121782535.
[Fay] = Fay, James A. Introduction to Fluid Mechanics. Cambridge, MA: MIT Press, 1994. ISBN: 9780262061650.
Course readings.
SES # 
TOPICS 
READINGS 
1. The Continuum Viewpoint and the Equation of Motion 
L1 
Introduction: Continuum Hypothesis 
[K&C] Sections 1.11.6, 3.13.5, and 4.14.6.
[Fay] Chapters 1, 2, 3, and 4, pp. 3944, 8997, and 128132.
Review: [K&C] "Vector Calculus." Chapter 2. 
L2 
The Material Derivative
Lagrangian and Eulerian Descriptions
Thermophysical Properties
Compressibility Effects in Gases 

T1 
Tutorial Session 

L3 
Forces Acting on a Continuum
The Inviscid Fluid 

2. Static Fluids 
L4 
Static Fluids 
[K&C] Chapter 1 and sections 4.14.3.
[Fay] Chapter 2, pp. 4475.
Note: There is little detail of hydrostatics in [K&C]; for a better indepth review either see your own undergraduate text or the section of [Fay]. 
T2 
Tutorial Session 

3. Mass Conservation in Flowing Media 
L5 
Mass Conservation in Flowing Media 
[K&C] Sections 3.6, 3.7, 3.13, and 4.14.3.
[Fay] Chapter 3 
4. Inviscid Flow 
L6 
Steady Bernoulli Equation 

T3 
Tutorial Session 

L7 
Unsteady/Generalized Forms of the Bernoulli Equation 

5. Control Volume Theorems and Applications 
L8 
The Reynolds Transport Theorem 
[K&C] Chapter 4
Sonin, A. A. "Fundamental Laws of Motion for Particles, Material Volumes, and Control Volumes." (PDF  1.5 MB)
Essential reading: This chapter is extremely detailed and you need to spend the time to go through it in some detail. 
T4 
Tutorial Session 

L9 
Conservation of Mass/Energy/Entropy 

T5 
Tutorial Session 

L10 
Conservation of Linear Momentum
Examples of Conservation of Linear Momentum 

T6 
Tutorial Session 


Quiz 1 

L11 
Conservation of Angular Momentum 

T7 
Tutorial Session 

6. NavierStokes Equation and Viscous Flow 
L12 
Kinematics of Deformation 
[K&C] Chapter 9 
L13 
The NavierStokes Equation
Boundary Conditions for NavierStokes Equations 

T8 
Tutorial Session 

L14 
Fully Developed Flows, Stability of Viscous Flows 

L15 
Startup and Transient Flows Similarity Solution for a Flat Plate (The Rayleigh Problem) 

T9 
Tutorial Session 

L16 
QuasiFully Developed Flows: Lubrication Theory 

T10 
Tutorial Session 

7. Dimensional Analysis 
L17 
The Buckingham Pi Theorem
Physical Significance of Dimensionless Variables 
[K&C] Chapter 8
Buckingham Pi Theorem (PDF)
Sonin, A. A. "Physical Basis of Dimensional Analysis." Manuscript handout. 
T11 
Tutorial Session 

L18 
Asymptotic Limits of the Governing Equations and Scaling with Dimensionless Variables 

8. Potential Flow Theory 
L19 
The Velocity Potential and Streamfunction
Complex Variable Formulation 

T12 
Tutorial Session 

L20 
Examples of Potential Flow Solutions 


Quiz 2 

9. Boundary Layers, Separation and Drag 
L21 
Boundary Layer on a Flat Plate
Effect of a Pressure Gradient
Separation 

T13 
Tutorial Session 

10. Vorticity and Circulation 
L22 
Definition of Circulations
Kelvin's Circulation Theorems
Lift, Induced Drag 

T14 
Tutorial Session 

11. Surface Tension and its Importance 
L23 
Free Surface Force Balance
Scaling and Dimensional Analysis 

L24 
Sample Flows 

T15 
Tutorial Session 

12. Turbulence (v. Brief Introduction) 
L25 
Mean and Fluctuating Quantities
Reynolds Stresses, Eddy Viscosity, Taylor Microscale
Homogeneous and WallBounded Turbulence
Kolmogorov Energy Cascade 

L26 
Turbulence (Conclusions)
Course Review 


Final Exam 
