Thermal analysis of a radiative slip flow of an unsteady casson nanofluid toward a stretching surface subject to the convective condition

Abstract

An unsteady Casson nanofluid with a stagnation point is considered along a radiated stretching surface depending on the heat source and convective condition. Moreover, the influence of magnetic field and the wall suction is considered with the slip condition. In view of these assumptions, a system of nonlinear partial differential equations (PDEs), have been formulated which are primarily converted to the dimensionless ordinary differential equations (ODEs). The MATLAB function bvp4c has been used to solve the resulting system of the ODEs. The resulting solutions have been determined as expressed by the velocity, friction drag, concentration, temperature, mass transfer and heat transfer of the nanofluids which are obtained under the influence of associated flow parameters. It is observed that the Sherwood number and the fluid concentration respectively enhances and decreases for the escalating values of the Brownian motion parameter and the Schmidt number although a reverse of these cases have been observed for the escalation of Thermophoresis parameter. In the same way, the skin friction coefficient enhances for the escalation of Casson parameter, suction parameter, and the Hartmann number whereas the rate of heat transfer declines for the growing values of Eckert number and enhances for the higher values of suction and thermal radiation. Additionally, the fluid temperature is boosting for the growing values of Biot number, Eckert number and heat generation parameter, whereas the velocity is diminishing for the growing values of Casson parameter and unsteadiness parameter though it is boosting for the growing values of suction parameter.

Keywords

• Casson nanofluid
• Slip condition
• Thermal radiation
• Magnetic field
• Heat source
• Convective condition