Mathematical simulation of conjugate turbulent natural convection in an enclosure with local heat source

A numerical analysis of turbulent regimes of the natural convection in a closed rectangular region with heat-conducting walls of finite thickness was carried out in the presence of a locally concentrated heat source under the conditions of the radiative-convective heat exchange with the ambient medium on one of the external boundaries. The mathematical model was constructed on the basis of the Reynolds equations in dimensionless variables stream function - vorticity vector - temperature. Special attention was paid to the investigation of the influence of the Grashof number er 10(8)a parts per thousand currency signGr < 10(10), of the unsteadiness factor 0 < tau < 1000, and the thermal conductivity ratio lambda (2,1) = 5.7 center dot 10(-4), 6.8 center dot 10(-5) on both the local and integral characteristics of the problem.