Scaling

G. I. Barenblatt

186 pages

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Résumé

Many phenomena in nature, engineering or society when seen at an intermediate distance, in space or time, exhibit the remarkable property of self-similarity: they reproduce themselves as scales change, subject to so-called scaling laws. It's crucial to know the details of these laws, so that mathematical models can be properly formulated and analysed, and the phenomena in question can be more deeply understood.

The author describes and teaches the art of discovering scaling laws, starting from dimensional analysis and physical similarity, which are here given a modern treatment. He demonstrates the concepts of intermediate asymptotics and the renormalisation group as natural attributes of self-similarity and shows how and when these notions and tools can be used to tackle the task at hand, and when they cannot. Based on courses taught to undergraduate and graduate students, the book can also be used for self-study by biologists, chemists, astronomers, engineers and geoscientists.

Introduction
Dimensional analysis and physical similarity
Self-similarity and intermediate asymptotics
Scaling laws and self-similar solutions which cannot be obtained by dimensional analysis
Complete and incomplete similarity
Scaling and transformation groups and the renormalisation group
Self-similar solutions and traveling waves
Scaling laws and fractals
Scaling laws for turbulent wall-bounded shear flows at very large Reynolds numbers
References
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	G. I. Barenblatt
Nb. de pages	186
Format	15 x 22,7
Couverture	Broché
Poids	270g
Intérieur	Noir et Blanc
EAN13	9780521533942
ISBN13	978-0-521-53394-2