Synopses & Reviews
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Technology: Engineering. General
Applied Dimensional Analysis and Modeling
Second Edition
Thomas Szirtes
Thomas Szirtes and Associates, Inc.
Toronto, Ontario, Canada
KEY FEATURES
• 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
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.
Contents: Efficient and straightforward method for generating dimensional variables; Full account of characteristics of dimensional systems; Comprehensive description of conditions of dimensional homogeneity; Recognition and elimination of dimensionally and/or physically irrelevant variables; Methods to reduce the number of dimensionless variables; Definitions of distinct and equivalent sets of dimensionless variables; Techniques for employing non-conventional dimensions; Comprehensive description of techniques for designing, executing and evaluating dimensional modeling experiments
Related titles:
Rao: The Finite Element Method in Engineering (0-7506-7828-3)
Zienkiewicz & Taylor: The Finite Element Set (0-7506-6431-2)
Yang: Stress, Strain and Structural Dynamics (0-12-787767-3)
Synopsis
ion offers additional worked-out examples in mechanics, physics, geometry, hydrodynamics, and biometry.
Contents: Efficient and straightforward method for generating dimensional variables; Full account of characteristics of dimensional systems; Comprehensive description of conditions of dimensional homogeneity; Recognition and elimination of dimensionally and/or physically irrelevant variables; Methods to reduce the number of dimensionless variables; Definitions of distinct and equivalent sets of dimensionless variables; Techniques for employing non-conventional dimensions; Comprehensive description of techniques for designing, executing and evaluating dimensional modeling experiments
Related titles:
Rao: The Finite Element Method in Engineering (0-7506-7828-3)
Zienkiewicz & Taylor: The Finite Element Set (0-7506-6431-2)
Yang: Stress, Strain and Structural Dynamics (0-12-787767-3)
Synopsis
A truly unique reference work that offers Engineers and Scientist the tools necessary to tackle extremely comlex problems
Synopsis
This new edition will offer improved sample problems and even more simplified approaches to the key mathematical steps involved. Due to this simplified method in Dimensional Analysis, this text is unique among the rest for it recognizes âDimensional Analysisâ as a valuable yet often-overlooked mathematical tool that engineers and scientists can use to greatly simplify complex multi-variable equations to quickly arrive at preliminary design considerations.
It is an analytical tool that takes advantage of the fact that âeach term of a properly constructed physical equation needs to be dimensionally homogenous with the others.â That assumption allows the reduction of redundant and non-essential variables in complex equations, so as to offer much quicker solutions. This book provides the mathematical background and step-by-step procedures for performing dimensional analyses, along with a wide array of applications to problems in engineering and science. From velocity measurements and fluid measurements to problems in heat flow and electromagnetics.
⢠Divided into 4 convenient parts: principle characteristics of dimensional systems; application of dimensional techniques to engineering examples; applications to other systems of mathematics and geometry; and applications to the biosciences
⢠Offers ample end-of-chapter problems, with worked-out solutions for self-study
⢠Covers both dimensional analysis and scale modeling
Synopsis
es; Techniques for employing non-conventional dimensions; Comprehensive description of techniques for designing, executing and evaluating dimensional modeling experiments
Related titles:
Rao: The Finite Element Method in Engineering (0-7506-7828-3)
Zienkiewicz & Taylor: The Finite Element Set (0-7506-6431-2)
Yang: Stress, Strain and Structural Dynamics (0-12-787767-3)
Synopsis
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
Table of Contents
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
References
Appendices