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Interpretation of entropy generation in Williamson fluid flow with nonlinear thermal radiation and first‐order velocity slip
Author(s) -
Qayyum Sumaira,
Khan M. Ijaz,
Masood Faria,
Chu YuMing,
Kadry Seifedine,
Nazeer Mubbashar
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6735
Subject(s) - mechanics , thermal radiation , heat transfer , magnetohydrodynamics , heat generation , joule heating , parasitic drag , entropy (arrow of time) , nonlinear system , convection , porous medium , fluid dynamics , brinkman number , thermodynamics , thermal , physics , classical mechanics , drag , nusselt number , materials science , porosity , magnetic field , quantum mechanics , reynolds number , turbulence , composite material
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.