Free-forced laminar flow convective heat transfer from a square cavity in a channel with variable inclination has been investigated numerically using Boussinesq approximated equations. All walls of the geometrical configuration are adiabatic except for the back wall in the cavity which was kept at a constant temperature higher than that of the entering flow. The influence on heat transfer of cavity orientation, channel inclination, flow direction and entrance profile have been studied for flow conditions corresponding to Pr = 0.709, Re = 300 and Gr = 4500; based on the cavity width, mean flow rate and a cavity orientation angle γ = 0 corresponding to vertical channel flow. The calculations show that significant buoyant forces arise in the cavity where Gr/ Re 2 ∼- 30 but that these are small in the channel where Gr/ Re 2 ∼- 0.05. In general, the calculations show enhanced rates of heat transfer when buoyant forces are opposed to the main flow direction and diminished rates of heat transfer when they are aligned in the same direction. Stable stratification of the flow in a downward-facing cavity geometry is responsible for reducing the rate of heat transfer relative to an upward-facing geometry under equivalent flew conditions. Although limited to a narrow range of geometric and dynamic characteristics wherein the Boussinesq approximation applies, the present results show clearly the relative roles and magnitudes of these effects and should therefore be of value to researchers concerned with the influence of buoyancy driven motions in ducted flows.