In this study, a computational investigation is carried out to examine the interaction of heat generation/absorption with elastic deformation in a viscous hydromagnetic Walters’ B model past a stretching surface under the intensity of Newtonian heating. The model equations which are responsible for the motion of the fluid and heat interactions are reworked to ordinary differential equations by the appropriate similarity variables and solved via the homotopy analysis method. The parameters encountered were discussed through graphs and tables. The result reveals among others that the heat generation and Newtionian heating magnifies the temperature across the layer and makes quiescent fluid experience a thermal effect.

In this paper, homotopy analysis method with two auxiliary parameters is used to investigate heat and mass transfer flow past a vertical porous medium in the presence of heat source. Similarity transformation is adopted to transform the boundary-layer coupled non-linear partial differential equation to a system of coupled non-linear ordinary differential equation. The resulting equations are then solved analytically. The effect of various flow parameters on velocity, temperature and concentration profiles are presented graphically and discussed while the local skin-friction, Nusselt number, plate surface temperature and Sherwood number are illustrated numerically in tabular form. The results show among all other obtained that the cooling problem is guaranteed with the positive values of Grashof number while the higher values of heat source energies the random movement of the fluid molecules and pave way for the penetration of the thermal effect to the quiescent fluid.

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Heat generation effect in a steady two-dimensional magnetohydrodynamics (MHD) flow over a moving vertical plate with a medium porosity has been studied. By similarity transformation variables, the coupled non-linear ordinary differential equations describing the model are obtained. The resulting equation is then solved, using Galerkin Weighted Residual Method (GWRM), where the effect of heat generation, Magnetic Parameter as well as other physical parameters encountered were examined and discussed. Some of the major findings were that increase in heat generation and convective heat parameter enhances the plate surface temperature as well as temperature field which allows the thermal effect to penetrate deeper into the quiescent fluid.