HAM on MHD Convective Flow of a Third grade Fluid through Porous Medium during Wire Coating Analysis with Hall effects

In this study, wire coating is performed using MHD convective flow of third grade fluid through porous medium taking Hall current into account. The governing equations are first modelled and then solved analytically by utilizing the Homotopy analysis method (HAM). The convergence of the series solution is established. The effect of pertinent parameters on the velocity field and temperature profile is shown with the help of graphs. It is observed that the velocity profiles increase as the value of visco-elastic third grade fluid parameter β increase and decrease as the Hartmann number M and permeability parameter K increase. It is also observed that the temperature profiles increases as the Brinkman number Br, permeability parameter K , magnetic parameter M and third grade fluid parameter β increase. (paper)