Cattaneo-Christov heat flux and heat generation/ absorption effect on viscous Walters’ b fluid through a porous medium with chemical reaction

Abstract

The study of Walters’ B fluid is essential in polymer  materials processing which are useful in industries for the formation of plastic film and artificial fibers among others. In this paper, the significance of Cattaneo-Christov heat flux model on heat and mass transfer of a Walters B fluid through a medium porosity have been examined. The Cattaneo-Christov heat flux model was used to investigate the behaviours of heat transfer in the presence of Newtonian heating. The non-linear model equations for the study are re-worked into ordinary differential equations through exponential similarity transformation and executed via Homotopy Analysis Method. The obtained result were validated using Galerkin Weighted Residual method and good agreement is observed. Some of the major finding were that different values of the local Weissenberg Number enhances viscoelasticity of the fluid which reduces the motion of fluid and consequently thin momentum boundary layer thickness while various values of heat generation enhances the temperature field which enable the penetration of thermal effect to quiescent fluid.