| 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 | |||
Table of Contents
Study Materials
Readings
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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.