Perturbative evaluation of universal numbers in homogeneous shear turbulence.

Phys Rev E Stat Nonlin Soft Matter Phys

Department of Physics, Indian Institute of Technology Guwahati, Guwahati 781 039, India.

Published: May 2013

We employ Leslie's perturbation scheme coupled with renormalization group calculations to obtain the anisotropic velocity correlation tensor in the inertial range of homogeneous shear turbulence. Hence we evaluate two universal numbers associated with the anisotropic part of the equal-time correlation tensor in the leading order of the perturbative scheme. Our theoretical results for these universal numbers are found to be in fairly good agreement with experimental values as well as estimates coming from direct numerical simulations.

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http://dx.doi.org/10.1103/PhysRevE.87.053007DOI Listing

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