  Direct Numerical Simulation have been carried out for a two dimensional flow
in a Lid driven cavity at Reynolds number 5000 and Prandtl number 7 with water
as the working fluid. Both the side walls of the enclosure are insulated(i.e.
adiabatic boundary condition), while the bottom plate is at higher temperature
and the top wall is at colder temperature. Effects of heating of the bottom
wall and movement of the top lid have been investigated by conducting numerical
simulations at different Richardson numbers by varying from low and moderate
magnitudes within the limits of Boussinesq-approximation. Three standard cases
has been compared, in the first case heating effects are not taken into account
and only the flow due to shear action of the plate is studied. In the second
case only the heating effects are taken into account and shear effects are
neglected. In the third case effects of both heating and shear action is taken
into consideration(i.e. mixed convection). Drag force on the moving plate is
calculated in all the three cases and effect of temperature on the drag force
is studied. For running the above simulation a code has been developed which is
validated by comparing the results with Ghia et al for non-heating case.
