International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 2, Pages 305-310
doi:10.1155/S0161171297000410
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