The Kolmogorov-Obukhov theory of turbulence

a mathematical theory of turbulence

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Last edited by ImportBot
February 4, 2023 | History

The Kolmogorov-Obukhov theory of turbulence

a mathematical theory of turbulence

  • 0 Ratings
  • 1 Want to read
  • 0 Currently reading
  • 0 Have read

Turbulence is a major problem facing modern societies. It makes airline passengers return to their seats and fasten their seatbelts but it also creates drag on the aircraft that causes it to use more fuel and create more pollution. The same applies to cars, ships and the space shuttle. The mathematical theory of turbulence has been an unsolved problems for 500 years and the development of the statistical theory of the Navier-Stokes equations describes turbulent flow has been an open problem.

Publish Date
Publisher
Springer
Language
English
Pages
108

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Previews available in: English

Edition Availability
Cover of: The Kolmogorov-Obukhov theory of turbulence
Cover of: The Kolmogorov-Obukhov Theory of Turbulence
The Kolmogorov-Obukhov Theory of Turbulence: A Mathematical Theory of Turbulence
2013, Springer New York, Imprint: Springer
electronic resource : in English

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Book Details


Table of Contents

The Mathematical Formulation of Fully Developed Turbulence --
Probability and the Statistical Theory of Turbulence --
The Invariant Measure and the Probability Density Function --
Existence Theory of Swirling Flow.

Edition Notes

Includes bibliographical references and index.

Published in
New York
Series
SpringerBriefs in Mathematics, SpringerBriefs in mathematics

Classifications

Dewey Decimal Class
532.0527, 532.0527015118
Library of Congress
TA357.5.T87 M652 2013, QA1-939

The Physical Object

Pagination
x, 108 p.
Number of pages
108

ID Numbers

Open Library
OL31119141M
ISBN 10
1461462614
ISBN 13
9781461462613
LCCN
2012956056
OCLC/WorldCat
816511922

Work Description

​​​​​​​Turbulence is a major problem facing modern societies. It makes airline passengers return to their seats and fasten their seatbelts but it also creates drag on the aircraft that causes it to use more fuel and create more pollution. The same applies to cars, ships and the space shuttle. The mathematical theory of turbulence has been an unsolved problems for 500 years and the development of the statistical theory of the Navier-Stokes equations describes turbulent flow has been an open problem. The Kolmogorov-Obukhov Theory of Turbulence develops a statistical theory of turbulence from the stochastic Navier-Stokes equation and the physical theory, that was proposed by Kolmogorov and Obukhov in 1941. The statistical theory of turbulence shows that the noise in developed turbulence is a general form which can be used to present a mathematical model for the stochastic Navier-Stokes equation. The statistical theory of the stochastic Navier-Stokes equation is developed in a pedagogical manner and shown to imply the Kolmogorov-Obukhov statistical theory. This book looks at a new mathematical theory in turbulence which may lead to many new developments in vorticity and Lagrangian turbulence. But even more importantly it may produce a systematic way of improving direct Navier-Stokes simulations and lead to a major jump in the technology both preventing and utilizing turbulence.

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History

Download catalog record: RDF / JSON / OPDS | Wikipedia citation
February 4, 2023 Edited by ImportBot import existing book
January 27, 2022 Edited by ImportBot import existing book
November 13, 2020 Created by MARC Bot Imported from Library of Congress MARC record