S. J. Kline

Similitude and Approximation Theory

• Gebundenes Buch

Produktdetails

• Verlag: Springer Nature Singapore
• Seitenzahl: 229
• Erscheinungstermin: Juli 1986
• Englisch
• ISBN-13: 9780387165189
• ISBN-10: 0387165185
• Artikelnr.: 24628623

Inhaltsangabe

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.