Applied Dimensional Analysis and Modeling

Applied Dimensional Analysis and Modeling provides the full mathematical background and step-by-step procedures for employing dimensional analyses, along with a wide range of applications to problems in engineering and applied science, such as fluid dynamics, heat flow, electromagnetics, astronomy and economics. This new edition offers additional worked-out examples in mechanics, physics, geometry, hydrodynamics, and biometry.

Covers 4 essential aspects and applications: principal characteristics of dimensional systems applications of dimensional techniques in engineering, mathematics and geometry applications in biosciences, biometry and economics applications in astronomy and physicsOffers more than 250 worked-out examples and problems with solutionsProvides detailed descriptions of techniques of both dimensional analysis and dimensional modeling

1. Mathematical Preliminaries by Pál Rózsa
2. Formats and Classification
3. Dimensional Systems
4. Transformation of Dimensions
5. Arithmetic of Dimensions
6. Dimensional Homogeneity
7. Structure of Physical Relations
8. Systematic Determination of Complete Set of Products of Variables
9. Transformations
10. Number of Sets of Dimensionless Products of Variables
11. Relevancy of Variables
12. Economy of Graphical Presentation
13. Forms of Dimensionless Relations
14. Sequence of Variables in the Dimensional Set
15. Alternate Dimensions
16. Methods of Reducing the Number of Dimensionless Variables
17. Dimensional Modeling
18. Forty-three Additional Applications