MHD 2D flow of Williamson nanofluid over a nonlinear variable thicked surface with melting heat transfer

Abstract This article aimed to model and analyze the effectiveness of magnetic nanoparticles and melting heat transfer in the stretched flow. Considered nonlinear nanofluid model consists of Brownian motion and thermophoresis mechanisms. Flow formulation is developed using rheological expressions of Williamson fluid. Thickness of nonlinear stretching surface is variable. Dimensional nonlinear systems are solved for the convergent series solutions. Impacts of various pertinent parameters on the non-dimensional velocity, temperature, concentration, skin friction, local Nusselt and Sherwood numbers are analyzed in detail. It is anticipated that impact of melting heat transfer parameter on velocity and temperature is opposite. Moreover it is also observed that magnetic parameter retards the flow. Larger wall thickness parameter reduces temperature and skin friction coefficient. However reverse behavior is noted for Nusselt number.

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