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: 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

• Zeidan, F. Y., and Dilip Jain. "Application of Hydrodynamic Thrust Bearings in Submersible Pumps." Paper Presented at the ESP Workshop Held in Houston, TX, April 26–28, 2000.
• "A General Guide to the Principles, Operation and Troubleshooting of Hydrodynamic Bearings." (PDF) Kingsbury, Inc.
• McHugh, Jim. "Albert Kingsbury – His Life and Times." (PDF) Sound & Vibration. October 2003.

Class Notes

• Couette & Poiseuille Flows (PDF)
• Criteria for Locally Fully Developed Viscous Flow (PDF)
• Flow Inside a Cylinder Which is Suddenly Rotated (PDF)
• The General Form of Reynolds Equation (PDF)

Videos Seen During Class

• Low Reynolds Number Flow Video and Film Notes (PDF - 1.6MB)

Assignments

Problem Set 8

Problem Set 9