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Finite Element Simulation of Multiple Slip Effects on MHD Unsteady Maxwell Nanofluid Flow over a Permeable Stretching Sheet with Radiation and Thermo-Diffusion in the Presence of Chemical Reaction

机译:在化学反应存在下具有辐射和热扩散的MHD非稳态麦克斯韦纳米流体在渗透性拉伸片上的不稳定流动的有限元模拟

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The aim of the present study is to investigate the multiple slip effects on magnetohydrodynamic unsteady Maxwell nanofluid flow over a permeable stretching sheet with thermal radiation and thermo-diffusion in the presence of chemical reaction. The governing nonlinear partial differential equations are transformed into a system of coupled nonlinear ordinary differential equations with the aid of appropriate similarity variables, and the transformed equations are then solved numerically by using a variational finite element method. The effects of various physical parameters on the velocity, temperature, solutal concentration, and nanoparticle concentration profiles as well as on the skin friction coefficient, rate of heat transfer, and Sherwood number for solutal concentration are discussed by the aid of graphs and tables. An exact solution of flow velocity, skin friction coefficient, and Nusselt number is compared with the numerical solution obtained by FEM and also with numerical results available in the literature. A good agreement between the exact and numerical solution is observed. Also, to justify the convergence of the finite element numerical solution, the calculations are carried out by reducing the mesh size. The present investigation is relevant to high-temperature nanomaterial processing technology.
机译:本研究的目的是研究在存在化学反应的情况下,具有热辐射和热扩散作用的可渗透拉伸片上磁流体动力不稳定麦克斯韦纳米流体流的多重滑移效应。借助适当的相似变量,将控制的非线性偏微分方程转换为耦合的非线性常微分方程组,然后使用变分有限元方法对转换后的方程进行数值求解。通过图形和表格讨论了各种物理参数对速度,温度,溶液浓度和纳米颗粒浓度分布以及对皮肤摩擦系数,热传递速率和溶液的舍伍德数的影响。将流速,皮肤摩擦系数和Nusselt数的精确解与通过FEM获得的数值解以及文献中提供的数值结果进行了比较。观察到精确解和数值解之间的良好一致性。同样,为了证明有限元数值解的收敛性,可以通过减小网格尺寸来进行计算。本研究与高温纳米材料加工技术有关。

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