Laminar convection in a vertical channel with viscous dissipation and buoyancy effects

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Abstract

The fully developed and laminar convection in a parallel-plate vertical channel is investigated by taking into account both viscous dissipation and buoyancy. Uniform and symmetric temperatures are prescribed at the channel walls. The velocity field is considered as parallel. A perturbation method is employed to solve the momentum balance equation and the energy balance equation. A comparison with the velocity and temperature profiles in the case of laminar forced convection with viscous dissipation is performed in order to point out the effect of buoyancy. The case of convective boundary conditions is also discussed.

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