2.25 | Fall 2013 | Graduate

Advanced Fluid Mechanics

Equations of Viscous Flow

This section covers lectures 9-11.

Readings

Textbooks

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

  • Chapter 6: Newtonian Fluids and the Navier-Stokes Equations

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

  • 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

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

Additional Readings

Class Notes

Videos Seen During Class

Assignment

Problem Set 6

PROBLEMS SOLUTIONS
Problem 6.05 (PDF) Solution to Problem 6.05 (PDF)
Problem 6.04 (PDF) Solution to Problem 6.04 (PDF - 1.2MB)
Problem 8.13 (PDF) Solution to Problem 8.13 (PDF)
Problem 2 (PDF) Solution to Problem 2 (PDF)

Course Info

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