Abstract
The present study investigated the unsteady magnetohydrodynamic (MHD) nanofluid flow over a radially nonlinear stretching sheet along with the viscosity dependent on temperature, convective boundary condition, thermo-diffusion, and the radiation effects. Moreover, the nanofluid’s viscous effects were considered dependent on temperature and the exponential Reynolds model was considered in this context. It was additionally assumed that a uniform suspension of nanoparticles is present in the base fluid. The Buongiorno model, which involves the thermophoresis and Brownian motion effects, was considered. For the sake of a solution, the variational finite element method was selected with coding in MATLAB and the numerical results were contrasted with the published articles. The influence of various physical parameters on the velocity, temperature, and concentration profiles are discussed by the aid of graphs and tables. It was detected that the nanofuid viscosity parameter declines the fluid flow velocity, while, for the temperature and the concentration profiles, it accomplished the reverse phenomenon.
Highlights
The exploration of unsteady nano-fluid flow through a nonlinear stretching surface has been fundamentally prolonged for the impressive consideration during the most recent years because of numerous appliances in the engineering field
Ashraf et al [21] analyzed the magnetohydrodynamic flow of non-Newtonian fluid and studied the heat flow utilizing the stretchable disk. They acquired the numerical outcomes of an axisymmetric flow over a stretchable surface
The novelty of this work is to consider the Reynolds exponential viscosity model with convective boundary condition over radially nonlinear stretched sheet, heat and mass transfer characteristics of the thermo-diffusion, and radiation effects. Another aspect of this work is the numerical method of solution, especially the finite element method (FEM) was chosen, which is the most robust method to solve the differential equations [23,24]
Summary
The exploration of unsteady nano-fluid flow through a nonlinear stretching surface has been fundamentally prolonged for the impressive consideration during the most recent years because of numerous appliances in the engineering field. Ashraf et al [21] analyzed the magnetohydrodynamic flow of non-Newtonian fluid and studied the heat flow utilizing the stretchable disk They acquired the numerical outcomes of an axisymmetric flow over a stretchable surface. The novelty of this work is to consider the Reynolds exponential viscosity model with convective boundary condition over radially nonlinear stretched sheet, heat and mass transfer characteristics of the thermo-diffusion, and radiation effects. Another aspect of this work is the numerical method of solution, especially the finite element method (FEM) was chosen, which is the most robust method to solve the differential equations [23,24].
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