Abstract
The two-dimensional unsteady radiative stagnation point flow of a Casson fluid is considered across a permeable stretching surface subject to a non-uniform heat source. Furthermore, the association of wall suction and aligned magnetic field have been examined with the slip velocity. These condition leads to the mathematical model of the nonlinear partial differential equations (PDEs), which are initially changed to the dimensionless ordinary differential equations (ODEs) with the use of similarity transformations. The MATLAB function bvp4c was used to resolve the subsequent nonlinear ODEs and the solution has been estimated in terms of temperature, friction drag, Nusselt number and velocity of fluid which are determined under the influence of smallest suitable values of the relevant flow parameters. It appears that the friction drag escalates with the strength of suction, Casson parameter and magnetic field, while the Nusselt number decays with the escalation of Eckert number, however it improves with the higher values of the radiation and suction parameter. Additionally, the flow velocity decreases with the rising values of porosity parameter and inclination angle however it enhances with the boosting values of slip parameter. The temperature profile correspondingly enhances with the rising values of radiation parameter, Boit number, and Ecker number.