Abstract
The present paper is related to the study of an unsteady radiative magnetohydrodynamic free convection flow of a viscoelastic fluid past an inclined plate embedded in a porous medium. The fluid is incompressible and optically transparent. The effects of chemical reaction, heat source and viscous dissipation are considered during the present study. The case of viscous flow has been discussed as a special case, and the reported results of previous authors have been highlighted also. The novelty of our study is not only to analyze the effect of elasticity but also to account for the viscous dissipation which is important in case of radiative and optically transparent flows. An approximate analytical solution has been obtained by applying perturbation method. Results of the present study are in good agreement with Reddy et al. (Asian J Curr Eng Maths 1(3):115–119, 2012) and Chen (Int J Heat Mass Transf 53:4263–4276, 2010). It is interesting to note that higher Prandtl number fluid under the influence of magnetic field reduces the velocity, whereas elasticity property increases it. Moreover, higher viscous dissipation leads to an increase in the fluid temperature and hence reduces the heat transfer rate from the inclined plate.
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