The effect of radiation on free convection from a porous vertical plate. (English) Zbl 0953.76083

Summary: We determine the effect of radiation on the natural convection flow of an optically dense incompressible fluid along a uniformly heated vertical plate with a uniform suction. The governing nonsimilar boundary-layer equations are analyzed using (i) a series solution for small values of \(\xi\) (a scaled streamwise coordinate); (ii) an asymptotic solution for large \(\xi\); and (iii) a full numerical solution. The solutions are expressed in terms of the local shear stress and local rate of heat transfer. We also determine the effects of varying the Prandtl number, the radiation parameter, and the surface temperature parameter.


76R10 Free convection
76S05 Flows in porous media; filtration; seepage
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
78A40 Waves and radiation in optics and electromagnetic theory
80A20 Heat and mass transfer, heat flow (MSC2010)
Full Text: DOI