Modeling and simulation for 3D magneto Eyring–Powell nanomaterial subject to nonlinear thermal radiation and convective heating

Abstract

The present article scrutinizes the steady three-dimensional magnetohydrodynamics (MHD) flow of Powell-Eyring nanofluid with convective and the nanoparticles mass flux conditions. Additionally, the features of heat transfer phenomena's are carried out by utilizing the non-linear thermal radiation. Suitable transformations convert the nonlinear PDEs to the nonlinear ODEs and then tackled numerically by bvp4c technique. The properties of numerous amending parameters to the heat and mass transfer features are portrayed graphically and deliberated in detail. The achieved results reveal that amassed values of magnetic parameter M and Biot number γ enhance the temperature distribution and its thickness of boundary layer. Also, it is identified that the impact of Brownian motion parameter Nb and thermophoresis parameter Nt on concentration field are relatively conflicting. In order to recognize the validity of the current effort, the influence of pertinent fluid parameters are conferred in details. Furthermore, to comprehend the legitimacy of numerical computation a comparison between Matlab package bvp4c and shooting technique with RK Fehlberg method is presented in this scrutiny and alleged a tremendous agreement.