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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 1.1-1.6, 3.1-3.5, and 4.1-4.6.
[Fay] Chapters 1, 2, 3, and 4, pp. 39-44, 89-97, and 128-132.
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 4.1-4.3.
[Fay] Chapter 2, pp. 44-75.
Note: There is little detail of hydrostatics in [K&C]; for a better in-depth 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 4.1-4.3.
[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. Navier-Stokes Equation and Viscous Flow |
| L12 |
Kinematics of Deformation |
[K&C] Chapter 9 |
| L13 |
The Navier-Stokes Equation
Boundary Conditions for Navier-Stokes Equations |
|
| T8 |
Tutorial Session |
|
| L14 |
Fully Developed Flows, Stability of Viscous Flows |
|
| L15 |
Start-up and Transient Flows Similarity Solution for a Flat Plate (The Rayleigh Problem) |
|
| T9 |
Tutorial Session |
|
| L16 |
Quasi-Fully 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 Wall-Bounded Turbulence
Kolmogorov Energy Cascade |
|
| L26 |
Turbulence (Conclusions)
Course Review |
|
|
Final Exam |
|