Dimensional Analysis

Examples of the Use of Symmetry

Nonfiction, Science & Nature, Science, Physics, General Physics
Cover of the book Dimensional Analysis by Hans G. Hornung, Dover Publications
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Author: Hans G. Hornung ISBN: 9780486150475
Publisher: Dover Publications Publication: January 18, 2013
Imprint: Dover Publications Language: English
Author: Hans G. Hornung
ISBN: 9780486150475
Publisher: Dover Publications
Publication: January 18, 2013
Imprint: Dover Publications
Language: English

Derived from a course in fluid mechanics, this text for advanced undergraduates and beginning graduate students employs symmetry arguments to demonstrate the principles of dimensional analysis. The examples provided illustrate the effectiveness of symmetry arguments in obtaining the mathematical form of the functions yielded by dimensional analysis. Students will find these methods applicable to a wide field of interests.
After discussing several examples of method, the text examines pipe flow, material properties, gasdynamical examples, body in nonuniform flow, and turbulent flow. Additional topics include waves on a free liquid surface, examples with other fluid properties, and ideal gas equations of state. Figures appear throughout the text, which concludes with a bibliography.

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Derived from a course in fluid mechanics, this text for advanced undergraduates and beginning graduate students employs symmetry arguments to demonstrate the principles of dimensional analysis. The examples provided illustrate the effectiveness of symmetry arguments in obtaining the mathematical form of the functions yielded by dimensional analysis. Students will find these methods applicable to a wide field of interests.
After discussing several examples of method, the text examines pipe flow, material properties, gasdynamical examples, body in nonuniform flow, and turbulent flow. Additional topics include waves on a free liquid surface, examples with other fluid properties, and ideal gas equations of state. Figures appear throughout the text, which concludes with a bibliography.

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