Effect of a Uniform Horizontal Throughflow on the Darcy Free Convection over a Permeable Vertical Plate with Volumetric Heat Generation

This article deals with the steady Darcy free convection adjacent to a heated or cooled permeable vertical flat plate of constant temperature, which is embedded in a fluid-saturated porous medium of uniform ambient temperature T _∞. There is a uniform horizontal throughflow of the fluid and a volumetric heat generation q′′′ takes place, which is considered to be a power-law function of the local temperature difference T ? T _∞, i.e., q′′′ ~ (T ? T _∞) ⁿ . To be specific, two cases of this type of volumetric heat generation are considered in the analysis in some detail, namely, the linear and the quadratic cases, n = 1 and n = 2, respectively.