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


Upper Undergraduate and First-year Graduate students in Mechanical, Civil, and Aerospace Engineering, students in Materials Engineering, Solid Mechanics, Engineering Mechanics, Professional Engineers in Mechanical, Civil and Aerospace Engineering, Manufacturers of primary structural materials, particularly structural metals like steel and aluminum, Manufacturing Engineers in the Aerospace, Aeronautical and Automotive industries

Table of Contents

Chapter 1: Mathematical Preliminaries by Pál Rózsa 1.1 Matrices and Determinants 1.2 Operations with Matrices 1.3 The Rank of a Matrix 1.4 Systems of Linear Equations 1.4.1 Homogeneous Case 1.4.2 Nonhomogeneous Case 1.5 List of Selected Publications Dealing with Linear Algebra and Matrices Chapter 2: Formats and Classification 2.1 Formats for Physical Relations 2.1.1 Numeric Format 2.1.2 Symbolic Format 2.1.3 Mixed Format 2.2 Classification of Physical Quantities 2.2.1 Variability 2.2.2 Dimensionality Chapter 3: Dimensional Systems 3.1 General Statements 3.1.1 Monodimensional System 3.1.2 Omnidimensional System 3.1.3 Multidimensional System 3.2 Classification 3.3 The SI 3.3.1 Preliminary Remarks 3.3.2 Structure (a) Fundamental Dimensions (b) Derived Dimensionless Units (c) Derived Dimensional Units with Specific Names (d) Derived Dimensional Units without Specific Names (e) Non-SI Units Permanently Permitted to be Used with SI (f) Non-SI Units Temporarily Permitted to be Used with SI (g) Prohibited Units 3.3.3 Prefixes 3.3.4 Rules of Etiquette in Writing Dimensions Problems 3.4 Other Than SI Dimensional Systems 3.4.1 Metric, Mass-based Systems (a) CGS System (b) SI (for reference only) 3.4.2 Metric, Force-based System 3.4.3 American/British Force (Engineering) System 3.4.4 American/British Mass (Scientific) System


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© 2007
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About the author

Thomas Szirtes

Affiliations and Expertise

Thomas Szirtes and Associates, Inc. Toronto, Ontario Canada