Transient mixed convection with internal heat generation and oscillating plate temperature

Summary.

Oscillating plate temperature effects on transient mixed convection heat transfer from a porous vertical surface with internal heat generation or depletion are considered. The governing equations are transformed into dimensionless form by a set of variables and then 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.