Advanced Fluid Mechanics

Dimensional Analysis

This section covers lectures 12-13.

Readings

Textbooks

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

• Chapter 8: Dimensional Analysis

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

• Chapter 1: Introduction

  • 1.11: Dimensional Analysis

• Chapter 4: Conservation Laws

  • 4.11: Dimensionless Forms of the Equations and Dynamic Similarity

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

• Chapter 10: Dimensional Analysis and Modelling

Additional Readings

• Rayleigh, Lord. “The Principle of Similitude.” (PDF) Nature 95, no. 66 (1915): 591.

Class Notes

• The Physical Basis of Dimensional Analysis (PDF)
• Similarity (PDF)
• The Buckingham Pi Theorem in Dimensional Analysis (PDF)

Assignment

Problem Set 7

PROBLEMS	SOLUTIONS
Problem 7.03 (PDF)	Solution to Problem 7.03 (PDF)
Problem 7.09 (PDF)	Solution to Problem 7.09 (PDF)
Problem 7.12 (PDF)	Solution to Problem 7.12 (PDF)
Problem 7.14 (PDF)	Solution to Problem 7.14 (PDF) Extra Notes for Problem 7.14 (PDF)
Problem 7.18 (PDF)	Solution to Problem 7.18 (PDF)