An Application of the Modified 04thCumulant Approximation to Homogeneous Axisymmetric Temperature Fluctuations in an Isotropic Turbulence with a Mean Temperature Gradient
Abstract
Dynamical equations for the power spectra of turbulence energy, heat flux and temperature variance are formulated by applying the modified 04thcumulant approximation, and are numerically solved at moderate Reynolds number 32 and Prandtl number unity. Results are compared with the theoretical prediction and experiment by Sirivat & Warhaft (J. Fluid Mech. 128 (1983) 323). In particular the evolution of temperature variance <θ^{2}> and heat flux <θ w> in the direction of a linear mean temperature gradient agree well with their theoretical predictions <θ^{2}>{\propto}t^{2t} and <θ w>{\propto}t^{1t}. (n is the decay exponent of the turbulence energy < q^{2}>/2{\propto}t^{t}.) Moreover temperature and heat flux transfer spectra are shown; they are essential to understand these turbulent fields.
 Publication:

Journal of the Physical Society of Japan
 Pub Date:
 January 1985
 DOI:
 10.1143/JPSJ.54.108
 Bibcode:
 1985JPSJ...54..108N
 Keywords:

 Heat Flux;
 Isotropic Turbulence;
 Temperature Gradients;
 Turbulent Flow;
 Axisymmetric Flow;
 Incompressible Flow;
 Low Reynolds Number;
 Power Spectra;
 Prandtl Number;
 Fluid Mechanics and Heat Transfer