Heat transfer by natural convection, conduction and radiation in an inclined square enclosure bounded with a solid wall

We study in this paper conjugate heat transfer by natural convection, conduction and radiation in an inclined square enclosure bounded by a solid wall with its outer boundary at constant temperature while the opposing active wall is with a constant heat flux. We solved two-dimensional coupled equations of conservation of mass, momentum and energy, with the Boussinesq approximation using finite difference method and the SIMPLER algorithm. Various parameters were: Rayleigh number from 108 to 3×1010, dimensionless conductivity of bounding wall from 10 to 40 and dimensionless wall width from 0 to 0.15, aspect ratio equal to 1, the inclination angle 60 to 150° and the surface emissivity from 0 to 1. We presented the results in terms of heat flux and Nusselt number as a function of the Rayleigh number and other dimensionless parameters, as well as in terms of flow and temperature fields. We found that the interaction among the three modes of heat transfer was significant, the influence of the surface radiation on the natural convection was non-negligible and the flow and temperature fields as well as the heat transfer across the enclosure were modified.