EXPLORATION OF CASSON FLUID-FLOW ALONG EXPONENTIAL HEAT SOURCE IN A THERMALLY STRATIFIED POROUS MEDIA

Objective of the present investigation is intended to study the MHD Casson fluids flow through an exponentially stretching surface. This free convective flow is in-vestigated in thermally stratified porous medium. Also viscosity along with thermal conductivity is varying with temperature. With the exponential decay for the inter-nal heat generation in the region and buoyancy force, the natural-convection is induced. Then the transformed set of equations of the flow after applying suitable similarity solutions were encountered by Shooting Technique in conjunction with the fourth ordered Runge-Kutta method. Outputs illustrates that with increased viscosity parameter an increasing velocity profile is noticed but a decrement is observed for temperature field in entire domain and near the wall for temperature gradient profile. Also with increased Casson fluids parameter decreasing velocity profile is noticed but an increment is observed for temperature field in entire do-main and for temperature gradient profile near the wall.

Automated summary

The objective of this study is to investigate the flow of MHD Casson fluids through an exponentially stretching surface. The free convective flow is studied in a thermally stratified porous medium, where viscosity and thermal conductivity vary with temperature. Natural convection is induced due to the exponential decay of internal heat generation and buoyancy force. The transformed equations of the flow, obtained by applying suitable similarity solutions, are solved using the Shooting Technique in conjunction with the fourth order Runge-Kutta method. The results show that an increase in the viscosity parameter leads to an increasing velocity profile, but a decreasing temperature field in the entire domain and near the wall for temperature gradient profile. On the other hand, an increase in the Casson fluids parameter leads to a decreasing velocity profile and an increasing temperature field in the entire domain and near the wall for temperature gradient profile.