Abstract
This article explores the radiated stagnation point flow of a time dependent Casson fluid across a permeable stretching/shrinking surface based on the mass suction, magnetic field and non-uniform heat source and sink. This flow is developed by the nonlinear PDEs which are mainly transformed into the non-dimensionless ODEs on the basis of dimensionless variables. These ODEs have been solved with the help of bvp4c built-in function in MATLAB. The outcomes of the present flow problem have been provided in terms of temperature, skin friction, velocity and Nusselt number which are acquired on the basis of related flow constraints. Two different solutions have been determined against each value of parameter reported as first solution and second solution. It has been found that the friction drags boosts for stable flow and in the region of surface shrinking, as well as it reduces for the unstable flow and in the region of surface stretching. This is resulting from the increasing values of Casson parameter, suction, and Hartmann number. The rate of heat transfer falls with the improvement of Eckert number, radiation parameter and Hartmann number as well as it enhances with the higher rate of surface shrinking and suction.