The Anisotropic Temperature Spectrum in Isotropic Turbulence with a Constant Temperature Gradient
Abstract
The anisotropic temperature spectrum is numerically determined within the eddydamped quasinormal Markovian approximation for the case that a constant temperature gradient is imposed on isotropic and incompressible turbulence with the Kolmogorov velocity spectrum. The temperature spectrum is conveniently expanded in terms of Legendre polynominals. The isotropic part of the spectrum is calculated as k^{1.701}, very close to the Kolmogorov spectrum, while the anisotropic spectrum which corresponds to the coefficient of a second Legendre function is shown to be k^{3}. A model is examined which exhibits a crossover of the anisotropic spectrum from couplingconstantdependent scaling to the independent scaling k^{3}.
 Publication:

Journal of the Physical Society of Japan
 Pub Date:
 April 1984
 DOI:
 10.1143/JPSJ.53.1284
 Bibcode:
 1984JPSJ...53.1284N
 Keywords:

 Incompressible Flow;
 Isotropic Turbulence;
 Markov Processes;
 Temperature Distribution;
 Temperature Gradients;
 Anisotropy;
 Kolmogoroff Theory;
 Legendre Functions;
 Polynomials;
 Statistical Mechanics;
 Fluid Mechanics and Heat Transfer