Hossain, M. A.; Alim, M. A.; Rees, D. A. S. The effect of radiation on free convection from a porous vertical plate. (English) Zbl 0953.76083 Int. J. Heat Mass Transfer 42, No. 1, 181-191 (1999). 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. Cited in 39 Documents MSC: 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) Keywords:radiation; natural convection; optically dense incompressible fluid; uniformly heated vertical plate; uniform suction; nonsimilar boundary-layer equations; series solution; asymptotic solution; numerical solution; local shear stress; local rate of heat transfer; Prandtl number; radiation parameter; surface temperature parameter PDFBibTeX XMLCite \textit{M. A. Hossain} et al., Int. J. Heat Mass Transfer 42, No. 1, 181--191 (1999; Zbl 0953.76083) Full Text: DOI