# Download e-book The Kolmogorov-Obukhov theory of turbulence : a mathematical theory of turbulence

These corrections are the main subject of the present paper.

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They lead to a new scaling law for wall-bounded turbulence, which is of key importance in engineering, and to a reinterpretation of the Kolmogorov--Obukhov scaling for the local structure of turbulence, which has been of paramount interest in both theory and applications. The background of these results is reviewed, in similarity methods, in the statistical theory of vortex motion, and in intermediate asymptotics, and relevant experimental data are summarized.

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## Alexander Obukhov

Web of Science You must be logged in with an active subscription to view this. Keywords turbulence , intermittency , scaling , wall-bounded turbulence , local structure , statistical theory.

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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 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 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.