Dimensional Analysis (UMAP)
Author: Frank R. Giordano; Michael C. Wells; Carroll O. Wilde
A unit that relates linear algebra to dimensional analysis. In using this module given a physical system and the factors that influence it students will be able to: 1) find a complete set of dimensionless products for the system; and 2) apply Buckingham's theorem and determine a dimensionally correct equation relating the variables involved in the system.
Table of Contents:
1. INTRODUCTION
2. DIMENSIONS AS PRODUCTS
3. FORMING DIMENSIONLESS PRODUCTS
4. MAXIMAL SETS
5. COMPLETE SETS
6. BUCKINGHAM'S THEORY
7. AN ALGORITHM
8. CONCLUSION
9. REFERENCES
10. MODEL EXAM
11. ANSWERS TO EXERCISES
12. ANSWERS TO MODEL EXAM
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