Similitude and Approximation Theory
There are a number of reasons for producing this edition of Simili tude and Approximation Theory. The methodologies developed remain important in many areas of technical work. No other equivalent work has appeared in the two decades since the publication of the first edition. The materials still pr...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1986, 1986
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| Edition: | 1st ed. 1986 |
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| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Charter 1 Introduction
- 2 Dimensional Analysis and the Pi Theorem Units and Dimensions
- 2-1 Units and Dimensions
- 2-2 Types of Quantities Appearing in Physical Equations
- 2-3 Dimensional Homogeneity of Physical Equations
- 2-4 Statement and Use of the Pi Theorem
- 2-5 Rationale of the Pi Theorem
- 2-6 Huntley’s Addition
- 2-7 Examples of Application of Dimensional Analysis
- 2-8 Summary
- 3 Method of Similitude and Introduction to Fractional Analysis of Overall Equations
- 3-1 Introduction
- 3-2 Method of Similitude
- 4 Fractional Analysis of Governing Equations and Conditions
- 4-1 Introduction
- 4-2 Normalization of the Governing Equations
- 4-3 Conditions Required for Rigorous Solution of the Canonical Problem of Similitude and Dimensional Analysis Using Normalized Governing Equations
- 4-4 Basis of Improved Correlations
- 4-5 Relations among Elementary Processes
- 4-6 Approximation Theory
- 4-7 Some Problems Involving Uniform Behavior
- 4-8 Nonuniform Behavior—Boundary Layer Methods
- 4-9 Nonuniform Behavior—Expansion Methods and Uniformization
- 4-10 Processes Involving Transformations of Variables
- 4-11 Summary and Conclusions
- 5 Summary and Comparison of Methods
- 5-1 Introduction
- 5-2 Summary of Methods
- 5-3 Comparison of Methods
- 5-4 Concluding Remarks
- References