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An analytical technique known as the homotopy analysis method is used to acquire solutions for magnetohydrodynamic 3‐D motion of a viscous nanofluid over a saturated porous medium with a heat source and thermal radiation. The governing nonlinear partial differential equations are changed to ordinary differential equations employing appropriate transformations. Validation of the present result is done with the help of error analysis for flow and temperature. The influences of pertinent parameters on momentum, energy, and Nusselt number are studied and discussed. The major findings are: the velocity of the nanofluid is affected by the nanoparticle volume fraction and the thickness of the thermal boundary layer becomes thinner and thinner subject to sink, whereas the effect is revered in case of the source.

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The heat and mass transfer impacts on a steady 2-dimensional magnetohydrodynamic (MHD) natural convection boundary layer flow of viscous fluid surrounded by a porous vertical surface with heat source, Ohmic dissipation, chemical reaction and radiation effects are studied. The governing partial differential equations (PDE) are converted into a set of ordinary differential equations (ODE) employing non-dimensional quantities then we solved the ODE employing perturbation method. Most of the studies so far have presented the numerical and semi analytical solutions of flow and heat transfer because of porous vertical surface. Present analysis on analytical solution for the flow velocity and the temperature in the form of a series solution. It was found that increasing the permeability parameter and radiation parameter, the corresponding value of velocity increases and a reverse trend has seen in magnetic parameter.