Eur. Phys. J. Spec. Top. (2021) 230: 1273-1281
https://doi.org/10.1140/epjs/s11734-021-00043-x

Regular Article

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

¹ Department of Mathematics, Central University of Karnataka, 585367, Kalaburagi, India
² Department of Mathematics, M. S. Ramaiah Institute of Technology, 560 054, Bangalore, India

^c nsandeep@cuk.ac.in

Received: 24 July 2020
Accepted: 1 February 2021
Published online: 8 April 2021

Abstract

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.