Applied Dimensional Analysis and Modeling (2nd Ed.)


Language: Anglais
Cover of the book Applied Dimensional Analysis and Modeling

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820 p. · Hardback
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 physics
* Offers more than 250 worked-out examples and problems with solutions
* Provides detailed descriptions of techniques of both dimensional analysis and dimensional modeling
Chapter 1: Mathematical Preliminaries by Pál Rózsa
Chapter 2: Formats and Classification
Chapter 3: Dimensional Systems
Chapter 4: Transformation of Dimensions
Chapter 5: Arithmetic of Dimensions
Chapter 6: Dimensional Homogeneity
Chapter 7: Structure of Physical Relations
Chapter 8: Systematic Determination of Complete Set
of Products of Variables
Chapter 9: Transformations
Chapter 10: Number of Sets of Dimensionless Products
of Variables
Chapter 11: Relevancy of Variables
Chapter 12: Economy of Graphical Presentation
Chapter 13: Forms of Dimensionless Relations
Chapter 14: Sequence of Variables in the
Dimensional Set
Chapter 15: Alternate Dimensions
Chapter 16: Methods of Reducing the Number of
Dimensionless Variables
Chapter 17: Dimensional Modeling
Chapter 18: Forty-three Additional Applications