Mathematical modeling of the laminar regime of conjugate convective heat transfer in an enclosure with an energy source under surface-radiation conditions

A numerical analysis of the laminar regime of heat transfer in a square enclosure with finite-thickness heat-conducting walls in the presence of a constant-temperature heat-releasing element under the conditions of radiative heat exchange has been made in a surface-radiation approximation. A mathematical model has been formulated in dimensionless variables "stream function-vorticity-temperature," which was realized numerically by the finite-difference method. Temperature and streamline distributions reflecting the influence of the reduced emissivity factor of interior surfaces of enclosing walls, of the relative thermal-conductivity coefficient, and of the factor of unsteadiness on the flow regimes and heat transfer have been obtained.