Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

New perspectives in turbulence


Author: Alexandre J. Chorin
Journal: Quart. Appl. Math. 56 (1998), 767-785
MSC: Primary 76F02; Secondary 76M55
DOI: https://doi.org/10.1090/qam/1668737
MathSciNet review: MR1668737
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Abstract: An analysis of the mean velocity profile in the intermediate region of wall-bounded turbulence shows that the well-known von Kármán-Prandtl logarithmic law of the wall must be jettisoned in favor of a power law. An analogous analysis of the local structure of turbulence shows that the Kolmogorov-Obukhov scaling of the second and third structure functions is exact in the limit of vanishing viscosity while, in the same limit, higher-order moments fail to exist. These results rely on advanced similarity methods and on vanishing-viscosity asymptotics, and are consistent with a near-equilibrium theory of turbulence of which a new version is presented.


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DOI: https://doi.org/10.1090/qam/1668737
Article copyright: © Copyright 1998 American Mathematical Society

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