Advanced Fluid Mechanics

Inviscid Flow and Bernoulli

This section covers lecture 5.

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
  • 7.1: Pressure-Driven Flow in a Slot
  • 7.2: Mechanical Energy, Head Loss, and Bernoulli Equation

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

• Chapter 4: Conservation Laws
  • 4.3: Stream Functions
  • 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

Additional Readings

• Professor Jane Wang’s website on dragonfly flight and the role of vorticity shedding in fluttering and tumbling.
• Vortex Ring Gun website. A quick web-search shows that these “non-lethal weapons” are still actively being considered.
• NASA Aircraft Complete Wingtip Vortex Study.

Class Notes

• Equation of Motion in Streamline Coordinates (PDF)
• Unsteady Bernoulli Equation (PDF)

Video Seen During Class

• Pressure Fields and Fluid Acceleration Video and Film Notes (PDF - 1.3MB)

Assignment

Problem Set 3

PROBLEMS	SOLUTIONS
Problem 4.04 (PDF)	Solution to Problem 4.04 (PDF)
Problem 4.05 (PDF)	Solution to Problem 4.05 (PDF)
Problem 4.09 (PDF)	Solution to Problem 4.09 (PDF)
Problem 4.11 (PDF)	Solution to Problem 4.11 (PDF)
Problem 4.12 (PDF)	Solution to Problem 4.12 (PDF)
Problem 4.19 (PDF)	Solution to Problem 4.19 (PDF)