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Consortium for Mathematics and its Applications

Product ID: 99526
Supplementary Print
Undergraduate

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

©1988 by COMAP, Inc.
UMAP Module
27 pages

Mathematics Topics:

Abstract & Linear Algebra

Application Areas:

Engineering & Construction

Prerequisites:

Linear algebra concepts (rank of a matrix, linear independence); basic physical quantities (velocity, acceleration, kinetic energy); solving systems of linear algebraic equations

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