Abstract
The current perusal introduces a numerical analysis to point out the flow of MHD conjugate forced and free convection with entropy generation analysis due to non-Newtonian Casson-nanofluid around a rotating sphere with convective boundary conditions. Two-phase flow of nanofluid model is employed for the problem under consideration. Both the velocity of free stream and the sphere rotates with angular velocity changed continuously with time. The highly nonlinear partial differential Structures which describe the case study are mutated into a nonlinear ordinary differential structures via utilizing appropriate dimensionless quantities. The numerical solutions of ordinary differential structures have been acquired by applying the fourth order Runge-Kutta-Fehlberg technique with shooting scheme via MATLAB. Aspects of such controlled physical parameters have been clarified and discussed in details using some charts and tables. Comparison with previous literature results is also done and is found to be very good agreement with those published earlier. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.