Dimensional Analysis Examples of the Use of Symmetry

Name: Dimensional Analysis Examples of the Use of Symmetry
Price: 7.8 USD
Availability: InStock
ISBN: 9780486446059

ISBN-10: 0486446050

ISBN-13: 9780486446059

Edition: 2006

Authors: Hans G. Hornung

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Description:

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…

Book details

List price: $8.95
Copyright year: 2006
Publisher: Dover Publications, Incorporated
Publication date: 1/14/2006
Binding: Paperback
Pages: 67
Size: 5.31" wide x 8.50" long x 0.24" tall
Weight: 0.264
Language: English



Preface



Introduction



Example of method



Restriction of range of interest



Application



Symmetry arguments



Pipe flow



Dimensionless variables



Symmetry at Re to 0



Symmetry at Re to [infinity]



Material properties



Constitutive equations



Simple shear flow



Gasdynamical examples



Shock waves



The case [characters not reproducible], weak wave



The case [characters not reproducible], strong shock wave



Gas explosions



Space-time analogy, boundary layer



Compressible flow with friction and heat transfer



Body in nonuniform flow



Shear flow



Channel flow



Inviscid flow with shear



Turbulent flow



Wall-bounded flow



Free shear layer



Waves on a free liquid surface



Very deep water



Shallow water



Damping of surface waves



Examples with other fluid properties



Thermocapillary flow



Liquid drop in horizontal temperature gradient



Liquid drop in vertical temperature gradient



Viscoelastic flow



Ideal gas equations of state



Non-relativistic limit



Ideal Boltzmann gas



The small entropy regime



Black body radiation


Bibliography