Nonlinear radiation effects on squeezing flow of a Casson fluid between parallel disks

In this paper, we investigate the nonlinear radiation effects in a time-dependent two-dimensional flow of a Casson fluid squeezed between two parallel disks when the upper disk is taken to be impermeable and the lower one is porous. Suitable similarity transforms are employed to convert governing partial differential equations into the system of ordinary differential equations. A well known Homotopy Analysis Method (HAM) is employed to obtain the expressions for velocity and temperature profiles. Effects of different physical parameters such as squeeze number S, Eckert number Ec   and the dimensionless length on the flow when keeping Pr=7Pr=7 are also discussed with the help of graphs for velocity and temperature coupled with comprehensive discussions. Mathematica Package BVPh2.0 is utilized to formulate the total error of the system for both the suction and injection cases. The skin friction coefficient and local Nusselt number are presented with graphical aids for emerging parameters.