On significance of bioconvection and chemical reaction for time dependent MHD flow of Williamson nanofluid due to extending permeable sheet
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Date
2021
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UMT Lahore
Abstract
Enhancement in heat transfer can be suitably managed with nanofluids movement due to time dependent stretched sheet. The concentration and settling of the nano-particles in the base fluid are addressed to consider non-Newtonian Williamson fluid and the bioconvection of microorganisms. In this scenario, the fluid flow occurs in the presence of normal and uniform magnetic field, thermal radiation and chemical reaction are taken into account. For the two dimensional flow with heat and mass transfer five dependent variables and three independent variables constitutes system of partial differential equations, where the coupling and non-linearity urges for the numerical solution. For this purpose, similarity functions are involved to transmute these equations to corresponding ordinary differential equations. Then Runge-Kutta method with shooting technique is hired to evaluate the desired findings with utilization of MATLAB script. The fluid velocity becomes slow against strength of magnetic parameter and it boosts with mixed convection. The temperature rises with parameter of Brownian motion and thermophoresis. The bioconvection Rayleigh number diminishes the velocity field. In the results, a satisfactory concurrence is observed when compared with existing literature.