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Abstract
The mixed convection due to an incompressible fluid past a heated obstacle of semicircular cross section is considered, the obstacle being mounted on a long flat surface. The obstacle is considered to be submerged in the viscous layer so that the far-field flow may be viewed as uniform shear. The governing unsteady Navier-Stokes equations and the heat transport equation are solved numerically using an upwind difference scheme. A steady solution is obtained by marching in time until the transient behavior dies away for a range of Reynolds number (which is based on the obstacle height and the incident uniform shear), Re h 400, and Grashof number. The influence of buoyancy and Reynolds number on flow separation both upstream and downstream of the obstacle is found. The downstream eddy length is found to agree with increased-Reynolds-number theory even in the presence of buoyancy effect.