A duality of biomagnetic fluid flow and heat transfer over a quadratic stretched sheet

This paper investigates duality solutions of biomagnetic fluid flow and heat transfer over a permeable quadratically stretching /shrinking sheet in the presence of a magnetic dipole. The governing nonlinear partial differential equations are converted into a set of nonlinear ordinary differential equations with the help of suitable similarity transformations and then solved numerically by using the boundary value problem solver bvp4c built in MATLAB software. We examine the effects of a variety of pertinent parameters - the ferromagnetic parameter, suction parameter, stretching/shrinking parameter - on velocity and temperature profiles, as well as the skin friction coefficient and Nusselt number, which are presented graphically. Dual solutions exist for certain values of stretching/shrinking sheet and suction parameters. The skin friction coefficient data are evaluated and compared with previous published data and better agreement is achieved. Therefore, it can be said with confidence that our present analysis is accurate. It also shows that the ferromagnetic and stretched parameters result in reduced velocity and thereby influence the temperature profile.

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Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).