Natural-Convective heat transfer in square cavity with viscous dissipation

Abstract

Paper presented to the 10th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Florida, 14-16 July 2014.

The natural-convective heat transfer in a square cavity is considered. The left and right boundaries are maintained at constant temperature T0. Top and bottom horizontal walls are assumed adiabatic. The problem is considered in Boussinesq approximation. It is supposed that fluid flow is laminar and all its thermophysical properties are constant. There are terms with a viscous dissipation in energy equation. The initial temperature of fluid is more than temperature of boundaries. It is found values of Grashof and Eckert numbers when stationary total heat flow through side walls is more than zero in the wide range of initial temperatures. In the works [1], [2] it was obtained source of energy due to natural convection with timevarying boundary conditions. In this paper it is also obtained source of energy but with constant boundary conditions. The problem is solved numerically by the control volume method and algorithm SIMPLER [3].