The Continuum Viewpoint and the Equations of Motion

This section covers lectures 1-3.

Readings

Textbooks

Reading in: Amazon logo 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: Buy at MIT 
Press Amazon logo 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: Amazon logo 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

Class Notes

Videos Seen During Class

Assignment

Problem Set 1