This section covers lectures 1-3.
Readings
Textbooks
Reading in: Panton, Ronald L. Incompressible Flow. 4th ed. Wiley, 2013. ISBN: 9781118013434. [Preview with Google Books]
- Chapter 1: Continuum Mechanics
- Chapter 3: Vector Calculus and Index Notation
- Chapter 4: Kinematics of Local Fluid Motion
Reading in: Fay, James A. Introduction to Fluid Mechanics. MIT Press, 1994. ISBN: 9780262061650. [Preview with Google Books]
- Chapter 1: Introduction
- Chapter 2: Fluid Statics
- 2.1: Forces on a Fluid Particle
- 2.2: Stress in a Fluid
- 2.3: Pressure in a Static Fluid
- Chapter 3: Conservation of Mass
- 3.1: Kinematics of Fluid Flow
- Chapter 4: Inviscid Flow
- 4.1: Criterion for Inviscid Flow
- 4.2: Acceleration of a Fluid Particle
- 4.3: Euler's Equation
Reading in: Tritton, D. J. Physical Fluid Dynamics. Springer, 2013. ISBN: 9780442301323.
- Chapter 6: Further Basic Ideas
- 6.1: Streamlines, streamtubes, particle paths and streaklines
- 6.2: Computations for flow past a circular cylinder
Additional Readings
- Figures 11 and 12 of Coutanceau, Madeleine, and Patrick Thizon. "Wall Effect on the Bubble Behaviour in Highly Viscous Liquids." Journal of Fluid Mechanics 107 (1981): 339–73.
- Matthews, Jermey N. A. "Low-drag Suit Propels Swimmers." Physics Today 61, no. 8 (2008).
- Pope, Stephen B. Turbulent Flows. Cambridge University Press, 2000, pp. 24–32. ISBN: 9780521591256. [Preview with Google Books]
Class Notes
- Overview of Lagrangian and Eulerian Descriptions (PDF)
- Geometric Interpretation of Fluid Kinematics In Steady Shear Flow (PDF)
- The Continuity Equation: Conservation of Mass for a Fluid Element (PDF)
- Solid Body Rotation, Extra Notes (PDF)
- Images of Shark Dermal Denticles (via Google Images)
Videos Seen During Class
- Eulerian Lagrangian Description video and Film Notes (PDF)
- Flow Visualization Video and Film Notes (PDF - 1.1MB)