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Transient mixed convection with internal heat generation and oscillating plate temperature. (English) Zbl 1067.76081
Summary: We consider oscillating plate temperature effects on transient mixed convection heat transfer from a porous vertical surface with internal heat generation or depletion. The governing equations are transformed into dimensionless form by a set of variables, and then are solved using the finite element method. It is found that the velocity inside the boundary layer increases and the temperature decreases as time passes. In addition, it is found that when the energy generation is increased, the temperature near the wall will be higher than the wall temperature, and the velocity inside the boundary layer will increase due to an increase of buoyancy forces. Increasing the energy depletion term decreases the velocity inside the boundary layer and increases the heat transfer rate. Different temperature and velocity profiles are drawn for different dimensionless groups. Numerical values of Nusselt number as well as local skin friction coefficient are tabulated. Comparison with previous works shows complete agreement.

MSC:
76R05 Forced convection
76R10 Free convection
76S05 Flows in porous media; filtration; seepage
80A20 Heat and mass transfer, heat flow (MSC2010)
76M10 Finite element methods applied to problems in fluid mechanics
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