Heat Generation and Absorption Effects on Thin Film Flow of an Unsteady Casson Fluid Across a Penetrable Flat Plate

Abstract

The present study describes the motion of a thin film Casson liquid through an infinite flat  plate over a penetrable medium with the effect of non-uniform, heat source/sink, temperature radiation and uniform magnetic field. By the similarity transformation, the considered  PDE’s are transferred into suitable ODE’s . The R-K method of 4^th  order with shooting method is implemented to solve, the obtained dimensionless ODE’s  with the given frontier constraints. The obtained Nusselt number and  skin friction results are compared with the earlier published researches. Physical behaviour of different parametric quantities represented are listed and compared with the previously published results. The integrated property of thermal radiation parameter with space and temperature dependent parameters(A* and B*) are effective in managing the rate of heat transfer and  increase in  Hartmann number(M) increases the temperature where as, in the case of velocity field, rate of thermic transfer and wall friction the inverse upshot has been very practical.  and also increase in  casson parametric quantity decreases velocity profile which enhances  temperature profiles within the boundary region.