Cover for Applied Dimensional Analysis and Modeling

Applied Dimensional Analysis and Modeling

Book • Second Edition2007

Edited by:

Thomas Szirtes and Pál Rózsa

Applied Dimensional Analysis and Modeling

Book • Second Edition2007

 

Cover for Applied Dimensional Analysis and Modeling

Edited by:

Thomas Szirtes and Pál Rózsa

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Book description

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 appli ... read full description

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  2. Book chapterNo access

    CHAPTER 1 - MATHEMATICAL PRELIMINARIES

    Pál Rózsa

    Pages 1-26

  3. Book chapterNo access

    CHAPTER 2 - FORMATS AND CLASSIFICATION

    Pages 27-36

  4. Book chapterNo access

    CHAPTER 3 - DIMENSIONAL SYSTEMS

    Pages 37-68

  5. Book chapterNo access

    CHAPTER 4 - TRANSFORMATION OF DIMENSIONS

    Pages 69-94

  6. Book chapterNo access

    CHAPTER 5 - ARITHMETIC OF DIMENSIONS

    Pages 95-98

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    CHAPTER 6 - DIMENSIONAL HOMOGENEITY

    Pages 99-132

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    CHAPTER 7 - STRUCTURE OF PHYSICAL RELATIONS

    Pages 133-161

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    CHAPTER 8 - SYSTEMATIC DETERMINATION OF COMPLETE SET OF PRODUCTS OF VARIABLES

    Pages 163-179

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    CHAPTER 9 - TRANSFORMATIONS

    Pages 181-227

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    CHAPTER 10 - NUMBER OF SETS OF DIMENSIONLESS PRODUCTS OF VARIABLES

    Pages 229-261

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    CHAPTER 11 - RELEVANCY OF VARIABLES

    Pages 263-315

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    CHAPTER 12 - ECONOMY OF GRAPHICAL PRESENTATION

    Pages 317-332

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    CHAPTER 13 - FORMS OF DIMENSIONLESS RELATIONS

    Pages 333-379

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    CHAPTER 14 - SEQUENCE OF VARIABLES IN THE DIMENSIONAL SET

    Pages 381-400

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    CHAPTER 15 - ALTERNATE DIMENSIONS

    Pages 401-411

  17. Book chapterNo access

    CHAPTER 16 - METHODS OF REDUCING THE NUMBER OF DIMENSIONLESS VARIABLES

    Pages 413-462

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    CHAPTER 17 - DIMENSIONAL MODELING

    Pages 463-525

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    CHAPTER 18 - FIFTY-TWO ADDITIONAL APPLICATIONS

    Pages 527-657

    1. Book chapterNo access
      REFERENCES IN NUMERICAL ORDER

      Pages 659-665

    2. Book chapterNo access
      REFERENCES IN ALPHABETICAL ORDER OF AUTHORS’ SURNAMES

      Pages 667-674

    1. Book chapterNo access
      SUBJECT INDEX

      Pages 805-815

    2. Book chapterNo access
      SURNAME INDEX

      Pages 817-820

About the book

Description

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.

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.

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
  • 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

Details

ISBN

978-0-12-370620-1

Language

English

Published

2007

Copyright

Copyright © 2007 Elsevier Inc. All rights reserved

Imprint

Butterworth-Heinemann

You currently don’t have access to this book, however you can purchase separate chapters directly from the table of contents or buy the full version.

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Editors

Thomas Szirtes

Thomas Szirtes and Associates Inc., Toronto, Ontario, Canada

Senior Staff Engineer (ret.) SPAR Aerospace Ltd., Toronto, Ontario, Canada

(Predecessor of McDonald Dettwiler and Associates, Brampton, Ontario, Canada)

Pál Rózsa

Professor and former Chairman, Department of Mathematics and Computer Science, Technical University of Budapest, Hungary