Applied dimensional analysis and modeling / Thomas Szirtes ; with a chapter on mathematical preliminaries by Pal Rozsa.

Format:

Book

Author/Creator:

Szirtes, Thomas.

Contributor:

Rózsa, P.

Language:

English

Subjects (All):

Dimensional analysis.

Engineering models.

Physical Description:

1 online resource (853 p.)

Edition:

2nd ed.

Place of Publication:

Amsterdam ; New York : Elsevier/Butterworth-Heinemann, c2007.

Language Note:

English

Summary:

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 engine

Contents:

Front Cover; Applied Dimensional Analysis and Modeling; Copyright Page; Contents; List of Titled Examples and Problems; Foreword to the First Edition; Foreword to the Second Edition; Acknowledgments; Preface to the First Edition; Preface to the Second Edition; Organization, Notation, and Conventions; Chapter 1. Mathematical Preliminaries; 1.1. Matrices and Determinants; 1.2. Operations with Matrices; 1.3. The Rank of a Matrix; 1.4. Systems of Linear Equations; 1.5. List of Selected Publications Dealing with Linear Algebra and Matrices; Chapter 2. Formats and Classification

2.1. Formats for Physical Relations 2.2. Classification of Physical Quantities; Chapter 3. Dimensional Systems; 3.1. General Statements; 3.2. Classification; 3.3. The SI; 3.4. Other Than SI Dimensional Systems; 3.5. A Note on the Classification of Dimensional Systems; Chapter 4. Transformation of Dimensions; 4.1. Numerical Equivalences; 4.2. Technique; 4.3. Examples; 4.4. Problems; Chapter 5. Arithmetic of Dimensions; Chapter 6. Dimensional Homogeneity; 6.1. Equations; 6.2. Graphs; 6.3. Problems; Chapter 7. Structure of Physical Relations; 7.1. Monomial Power Form; 7.2. The Dimensional Matrix

7.3. Generating Products of Variables of Desired Dimension 7.4. Number of Independent Sets of Products of Given Dimension (I); 7.5. Completeness of the Set of Products of Variables; 7.6. Special Case: Matrix A is Singular; 7.7. Number of Independent Sets of Products of Given Dimension (II); Buckingham's Theorem; 7.8. Selectable and Nonselectable Dimensions in a Product of Variables; 7.9. Minimum Number of Independent Products of Variables of Given Dimension; 7.10. Constancy of the Sole Dimensionless Product; 7.11. Number of Dimensions Equals or Exceeds the Number of Variables; 7.12. Problems

Chapter 8. Systematic Determination of Complete Set of Products of Variables 8.1. Dimensional Set; Derivation of Products of Variables of a Given Dimension; 8.2. Checking the Results; 8.3. The Fundamental Formula; Chapter 9. Transformations; 9.1. Theorems Related to Some Specific Transformations; 9.2. Transformation Between Systems of Different Matrics; 9.3. Transformation Between Dimensional Sets; 9.4. Independence of Dimensionless Products of the Dimensional System Used; Chapter 10. Number of Sets of Dimensionless Products of Variables; 10.1. Distinct and Equivalent Sets

10.2. Changes in a Dimensional Set Not Affecting the Dimensionless Variables 10.3. Prohibited Changes in a Dimensional Set; 10.4. Number of Distinct Sets; 10.5. Exceptions; 10.6. Problems; Chapter 11. Relevancy of Variables; 11.1. Dimensional Irrelevancy; 11.2. Physical Irrelevancy; 11.3. Problems; Chapter 12. Economy of Graphical Presentation; 12.1. Number of Curves and Charts; 12.2. Problems; Chapter 13. Forms of Dimensionless Relations; 13.1. General Classification; 13.2. Monomial is Mandatory; 13.3. Monomial is Impossible-Proven; 13.4. Monomial is Impossible- Not Proven

13.5. Reconstructions

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-281-51446-2

9786611514464

0-08-055545-4

OCLC:

437213485