Potential Flow Theory

This section covers lectures 17-18.

Readings

Textbooks

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

  • Chapter 18: Ideal Flows in a Plane
    • 18.1: Problem Formulation for Plane Idea Flows
    • 18.2: Simple Plane Flows
    • 18.3: Line Source and Line Vortex
    • 18.4: Flow over a Nose of a Cliff
    • 18.5: Doublets
    • 18.6: Cylinder in a Stream

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

  • Chapter 4: Conservation Laws
    • 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
  • Chapter 5: Vorticity Dynamics
    • 5.1: Introduction
    • 5.2: Kelvin's Circulation Theorem
    • 5.3: Helmhotz's Vortex Theorems
    • 5.4: Vorticity Equation in a Nonrotating Frame
    • 5.5: Velocity Induces by a Vortex Filament: Law of Biot and Savart
  • Chapter 6: Ideal Flow
    • 6.1: Relevance of Irrotational Constant-Density Flow Theory
    • 6.2: Two-Dimensional Stream Function and Velocity Potential
    • 6.3: Construction of Elementary Flows in Two Dimensions
    • 6.4: Complex Potential
    • 6.5: Forces on a Two-Dimensional Body; Blasius Theorem; Kutta-Zhukhovsky Lift Theorem
    • 6.8: Axisymmetric Ideal Flow

Additional Readings

Class Notes

Videos Seen During Class

Assignment

Problem Set 10