Buoyancy effect on magnetohydrodynamic radiative flow of Casson fluid with Brownian moment and thermophoresis

This paper scrutinizes the magnetohydrodynamic-free convection flow along higher part of the paraboloid of revolution by curbing the assets of Brownian moment and thermophoresis. The governing equations leading to boundary restrictions of the model are compressed into ODEs by employing proper transformations. To resolve these equations, we operated shooting approach. The influence of all the emerging sundry flow controlled variables on convergences is contemplated graphically for the momentum, thermal and species fields. Also, wall friction, Nusselt and Sherwood numbers of relevant comprising flow factors are perceived through tables. Simultaneous results are displayed in two cases. It is found that the magnetic field signifies additional conflicting force to fluid motion and dissipation impacts to accelerate the temperature. Non-Newtonian flow is highly influenced by Brownian moment when compared to Newtonian flow.

Automated summary

This paper examines the magnetohydrodynamic-free convection flow along the higher part of a paraboloid of revolution by restraining the effects of Brownian moment and thermophoresis. The governing equations are transformed into ODEs to solve for boundary boundary restrictions, while the shooting method is used. The influence of various flow variables on convergence is graphically analyzed for momentum, thermal, and species fields, with additional data on wall friction, Nusselt and Sherwood numbers provided. The results show that the magnetic field introduces additional counteracting forces to fluid motion, impacting the acceleration of temperature through dissipation effects. A comparison between Newtonian and non-Newtonian flows reveals a greater influence of Brownian moment on the latter.