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].