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Scaling, Self-similarity, and Intermediate Asymptotics
Scaling in turbulence
monograph
Author(s):
Grigory Isaakovich Barenblatt
Publication date
(Online):
2014
Publisher:
Cambridge University Press
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Book Chapter
Pages
: 252-295
DOI:
10.1017/CBO9781107050242.013
SO-VID:
925d6605-bd01-4bdb-95d7-4a90f8354a31
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Book chapters
pp. xi
Preface
pp. xvii
Foreword
pp. 1
Introduction
pp. 28
Dimensions, dimensional analysis and similarity
pp. 64
The construction of intermediate-asymptotic solutions using dimensional analysis. Self-similar solutions
pp. 95
Self-similarities of the second kind: first examples
pp. 119
Self-similarities of the second kind: further examples
pp. 145
Classification of similarity rules and self-similar solutions. A recipe for the application of similarity analysis
pp. 161
Scaling and transformation groups. Renormalization group
pp. 181
Self-similar solutions and travelling waves
pp. 200
Invariant solutions: asymptotic conservation laws, spectrum of eigenvalues, and stability
pp. 220
Scaling in the deformation and fracture of solids
pp. 252
Scaling in turbulence
pp. 296
Scaling in geophysical fluid dynamics
pp. 334
Scaling: miscellaneous special problems
pp. 360
Afterword
pp. 366
References
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