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Interpretation of entropy generation in Williamson fluid flow with nonlinear thermal radiation and first-order velocity slip. (English) Zbl 1475.35287

Summary: This research article investigates the impacts of magnetohydrodynamics (MHD), nonlinear thermal radiation, Darcy-Forchheimer porous medium, viscous dissipation, first-order velocity slip, and convective boundary condition on the entropy generation optimization in flow of non-Newtonian fluid (Williamson fluid) towards a flat and stretchable surface. A general entropy equation is derived for thermal heat irreversibility, porosity irreversibility, Joule heating irreversibility, and fluid friction irreversibility. The bvp4c (built-in-shooting) technique is utilized to solve the governing equations for the entropy generation. Our obtained results highlight that enhancement in the thermal radiation and magnetic causes an abrupt change in the entropy generation rate. Moreover, the heat transfer rate and velocity gradient (skin friction) are calculated numerically subject to pertinent parameter, and the results are displayed in tabular form.

MSC:

35Q35 PDEs in connection with fluid mechanics
35Q79 PDEs in connection with classical thermodynamics and heat transfer
76A05 Non-Newtonian fluids
76S05 Flows in porous media; filtration; seepage
76W05 Magnetohydrodynamics and electrohydrodynamics
76M55 Dimensional analysis and similarity applied to problems in fluid mechanics
80A21 Radiative heat transfer
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