Radiative simulation of non-Newtonian MHD fluid over a boundary-driven multi-physical curved mechanism: Keller–Box evidence

Abstract

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This study is numerically driven to ascertain the flow of two-dimensional heat transfer of an incompressible electrically conducting non-Newtonian fluid over a continuous power-law stretching curved surface. The flow model considers rheological fluid viscosity using curvilinear (r −, s −) coordinates. The energy equation for the curved mechanism is examined in two streams: the prescribed surface temperature and the prescribed heat flux. Surface frictional heating is influenced by thermal radiation and viscous dissipation. Similarity transformations are executed to reduce partial differential equations into ordinary differential equations. The Keller–Box shooting method with the Jacobi iterative techniques is numerically computed for the degenerated nonlinear system of the boundary value problem. The associated boundary-layer thickness and flow fields- velocity and temperature are analyzed against characterizing parameters. Significant results are obtained and discussed with graphical plots showing that fluid velocity can be controlled by virtue of fluid parameters and stretching power index. These results are useful in polymer dynamics involving the melting and manufacturing of stretchable sheets.

Keywords

• nonlinear
• MHD
• curved sheet
• radiation
• viscous dissipation
• power-law