Heat transfer between a fluid-saturated porous medium and a permeable wall with fluid injection or withdrawal

The present paper addresses heat and mass transfer between a permeable wall and a fluid-saturated porous medium. To assess the effect of wall suction or injection on sensible heat transfer, a stagnant film model is developed. The model yields a thermal correction factor accounting for the effect of wall transpiration on heat transfer. In order to apply this correction factor, neutral (or zero mass transfer) heat transfer rates must be specified. In the past, for a large number of practical situations heat transfer correlations have been obtained with the boundary layer model, which are summarized here. Subsequently, the derived correction factor is applied to free, mixed and forced convection flows along vertical and horizontal permeable walls embedded in a porous medium. The predictions of the film model are compared and found to be in good agreement with corresponding results obtained with the boundary layer model (also provided by the literature). Hence, the film model approach appears to be a compact and adequate description of the processes considered.