Qayyum, Sumaira; Khan, M. Ijaz; Masood, Faria; Chu, Yu-Ming; Kadry, Seifedine; Nazeer, Mubbashar Interpretation of entropy generation in Williamson fluid flow with nonlinear thermal radiation and first-order velocity slip. (English) Zbl 1475.35287 Math. Methods Appl. Sci. 44, No. 9, 7756-7765 (2021). 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. Cited in 1 ReviewCited in 3 Documents 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 Keywords:Darcy-Forchheimer porous medium; entropy generation; first order velocity slip; nonlinear thermal radiation; viscous dissipation; Williamson fluid PDFBibTeX XMLCite \textit{S. Qayyum} et al., Math. Methods Appl. Sci. 44, No. 9, 7756--7765 (2021; Zbl 1475.35287) Full Text: DOI