MHD 3D flow and heat transfer analysis of nanofluid by shrinking surface inspired by thermal radiation and viscous dissipation

In the present paper three dimensional magnetohydrodynamic (MHD) flow and heat transfer analysis associated with thermal radiation as well as viscous dissipation of nanofluid over a shrinking surface has been investigated. The developed governing equations are transformed employing suitable transformations which are then solved by Homotpy analysis method (HAM). The study of all governing parameters such as magnetic, permeability, wall mass transfer, radiation, nanoparticle volume fraction and shrinking parameters along with Eckert and Biot's numbers is carried out and the representative results are provided to explore the effect of these pertinent parameters on the fluid velocity and temperature as well as the local skin friction and local Nusselt number. The major outcome of the present study is that the magnetic field and porous matrix both impede the fluid motion, along with reduction in the velocity gradient at the wall thereby reducing local skin friction and thermal radiation as well as viscous dissipation effects show a reduction in the rate of heat transfer from the shrinking surface.