International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 2, Pages 305-310
doi:10.1155/S0161171297000410
Renormalization group analysis for thermal turbulence
Department of Theoretical and Applied Mechanics, 216 Talbot Laboratory, University of Illinois, 104 S. Wright St., Urbana 61801, Illinois, USA
Received 9 May 1995
Copyright © 1997 D. N. Riahi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Renormalization group theory is applied to thermal turbulence. Turbulent fluxes for the
flow are accounted for by repeatedly recasting the governing equations with the smallest scales
represented by effective larger scales. Expressions for nonlinear contributions to eddy viscosity and eddy
diffusivity are determined, and leading order contributions due to buoyancy on various results and
equations are estimated. Proper scalings for various quantities and variables including temperature are
proposed. The results near two fixed points, which correspond to inertial and buoyancy dominated
ranges, are determined and discussed