2.25 | Fall 2013 | Graduate

Advanced Fluid Mechanics

More Complex Viscous-Dominated Flows

This section covers lectures 14-16.

Readings

Textbooks

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

  • Chapter 7: Some Incompressible Flow Patterns
  • Chapter 21: Flow at Low Reynolds Numbers

Reading in: Buy at MITPress Fay, James A. Introduction to Fluid Mechanics. MIT Press, 1994. ISBN: 9780262061650. [Preview with Google Books]

  • Chapter 6: Laminar Viscous Flow
    • 6.1: Introduction
    • 6.2: The Viscous Stress
    • 6.3: The Viscous Force
    • 6.4: The Navier-Stokes Equation of Motion
    • 6.5: Applications of the Navier-Stokes Equation

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

  • Chapter 4: Conservation Laws
  • Chapter 8: Laminar Flow
    • 8.1: Introduction
    • 8.2: Exact Solutions for Steady Incompressible Viscous Flow; Steady Flow between Parallel Plates; Steady Flow in a Round Tube; Steady Flow between Concentric Rotating Cylinders
    • 8.3: Elementary Lubrication Theory
    • 8.4: Similarity Solutions for Unsteady Incompressible Viscous Flow
    • 8.5: Flow Due to an Oscillating Plate
    • 8.6: Low Reynolds Number Viscous Flow Past a Sphere

Additional Readings

Class Notes

Videos Seen During Class

Assignments

Problem Set 8

PROBLEMS SOLUTIONS
Problem 8.02 (PDF) Solution to Problem 8.02 (PDF)
Stokes First Problem ATP (PDF) Solution to Stokes First Problem ATP (PDF)
Stokes Second Problem ATP (PDF) Solution to Stokes Second Problem ATP (PDF)
Viscous Decay of a Free Vortex (PDF) Solution is not available.

Problem Set 9

PROBLEMS SOLUTIONS
Problem 6.01 (PDF) Solution to Problem 6.01 (PDF)
Problem 6.13 (PDF) Solution to Problem 6.13 (PDF)
Problem 6.16 (PDF) Solution to Problem 6.16 (PDF)
Problem 6.20 (PDF) Solution to Problem 6.20 (PDF)
Problem 6.21 (PDF) Solution to Problem 6.21 (PDF)

Course Info

As Taught In
Fall 2013
Level
Learning Resource Types
Problem Sets with Solutions
Exams with Solutions