Control Volume Theorems and Applications

This section covers lectures 6-8.

Readings

Textbooks

Reading in: Amazon logo Panton, Ronald L. Incompressible Flow. 4th ed. Wiley, 2013. ISBN: 9781118013434. [Preview with Google Books]

  • Chapter 5: Basic Laws

Reading in: Amazon logo Kundu, Pijush K., and Ira M. Cohen. Fluid Mechanics. 6th ed. Academic Press, 2015. ISBN: 9780124059351.

  • Chapter 4: Conservation Laws
    • 4.1: Introduction
    • 4.2: Conservation of Mass
    • 4.3: Stream Functions
    • 4.4: Conservation of Momentum
    • 4.5: Constitutive Equation for a Newtonian Fluid
    • 4.6: Navier-Strokes Momentum Equation
    • 4.7: Noninertial Frame of Reference
    • 4.8: Conservation of Energy
    • 4.9: Special Forms of the Equations; Angular Momentum Principle for a Stationary Control Volume; Bernoulli Equations; Neglect of Gravity in Constant Density Flows; The Boussinesq Approximation; Summary

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 3: Conservation of Mass
  • Chapter 5: Conservation of Momentum

Additional Reading

Class Notes

Assignments

Problem Set 4

Problem Set 5