Advanced Fluid Mechanics

Boundary Layers, Separation, and Drag

This section covers lectures 21-23.

Readings

Textbooks

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

• Chapter 20: Boundary Layers
  • 20.1: Blasius Flow ever a Flat Plate
  • 20.2: Displacement Thickness
  • 20.3: Von Kármán Momentum Integral
  • 20.4: Von Kármán-Pohlhausen Approximate Method
  • 20.5: Falkner-Skan Similarity Solutions
  • 20.6: Arbitrary Two-Dimensional Lay: Crank-Nicolson Difference Method

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

• Chapter 9: Boundary Layers and Related Topics
  • 9.1: Introduction
  • 9.2: Boundary-Layer Thickness Definitions
  • 9.3: Boundary-Layer on a Flat Plate: Blasius Solution
  • 9.4: Falkner-Skan Similarity Solutions of the Laminar Boundary-Layer Equations
  • 9.5: Von Karman Momentum Integral Equation
  • 9.7: Transition, Pressure Gradients, and Boundary-Layer Separation
  • 9.8: Flow Past a Circular Cylinder; Low Reynolds Numbers; Moderate Reynolds Numbers; High Reynolds Numbers

Additional Reading

• Anderson Jr., John D. “Ludwig Prandtl’s Boundary Layer.” (PDF) Physics Today 58, no. 12 (2005): 42–48.

Class Notes

• The Generalized Boundary Layer Equations (PDF)

Video Seen During Class

• Fundamentals-Boundary Layers Video and Film Notes (PDF - 1.4MB)

Assignment

Problem Set 12

PROBLEMS	SOLUTIONS
Problem 9.03 (PDF)	Solution to Problem 9.03 (PDF)
Problem 9.04 (PDF)	Solution to Problem 9.04 (PDF)
Problem 9.09 (PDF)	Solution to Problem 9.09 (PDF)
Boundary Layer on a Free Surface (PDF)	Solution to Boundary Layer on a Free Surface (PDF)