Heat and Mass Transfer of Walters’ Liquid B Flow Over A Porous Stretching/Shrinking Plate with Mass Transpiration and Slip

The present work is focused on the slip flow of an electrically conductive viscoelastic fluid over a porous stretching/shrinking surface with mass transpiration and radiation. The closed-form analytical solutions for non-dimensional highly nonlinear governing equations consist of conservation of momentum, species, and energy are derived in the form of hypergeometric functions using similarity transformations. Heat and mass transfer analysis is also performed with numerous parameters that are transformed into the Kummer’s function of the first kind. The presence of some physical phenomena such as magnetic field, viscoelasticity, and suction/injection affect the flow field characteristics, whereas thermal radiation, Prandtl number, and Schmidt number affect the temperature field and concentration. Furthermore, the analysis is performed for two heating processes, namely the power law surface temperature, concentration, and power law wall heat flux and wall mass flux. This problem arises in a large class of industrial manufacturing processes such as polymer extrusion, wire drawing, and the drawing of plastic sheets.