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 physics
• Offers more than 250 worked-out examples and problems with solutions
• Provides detailed descriptions of techniques of both dimensional analysis and dimensional modeling

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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

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Rao: The Finite Element Method in Engineering (0-7506-7828-3)
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Yang: Stress, Strain and Structural Dynamics (0-12-787767-3)