Abstract

A Steady flow of two-dimensional magnetohydrodynamic non-Newtonian fluid over a stretching/shrinking sheet in the presence of nanoparticles is exemplified theoretically and numerically. In this problem, we have considered the thermal radiation and adjust the hot fluid along with the lower surface of the wall namely convective boundary-layer slip. To the best of the authors' knowledge, this parameter was here incorporated for the first time in such field of magnetofluid dynamic characteristics of conducting bio-nanofluids embedded in a porous medium. The solution of governing dimensionless problem is executed by Legendre-based collocation method (LBCM). It is vital to remark that the account for the velocity slip in the boundary conditions increases the velocity component. Also, the liquid acts as a Newtonian fluid when the Casson parameter increases. Consequently, those parameters contribute to the cooling plate, while others have the opposite effect. Thus, by selecting the appropriate fluid model and adjusting the governing parameters, the cooling/heating mechanism can be created. These results will assist the engineers in designing applications that require high-temperature nanomaterials processing operations.

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