Flow and convective heat transfer of Casson fluid between squeezing porous disks in the presence of thermal radiation, viscous dissipation, and variable heat source/sink

In the present study, the combined effect of non-uniform heat source/sink, suction/injection , thermal radiation, and viscous dissipation is investigated on the unsteady squeezing flow and heat transfer of non-Newtonian Casson fluids. By means of a suitable similarity transformation, the governing equations are converted to a set of non-linear ordinary differential equations which are solved analytically applying Homotopy perturbation method. In addition, convergence of the derived solution is examined by comparing the analytical solution with a corresponding numerical solution obtained by the fourth-order Runge–Kutta method. An excellent agreement is observed between the analytical and numerical results. The influences of relevant parameters on the velocity and temperature fields, skin friction coefficient, and local Nusselt number are demonstrated in details. The results reveal that temperature is an increasing function of the heat generation parameter. Furthermore, the velocity and temperature profiles grow with increase the suction parameter.