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MHD Nonlinear Mixed Convection Flow of Micropolar Nanofluid over Nonisothermal Sphere

机译:MHD非等温球体上微极纳米流体的非线性混合对流

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摘要

In this paper, two-dimensional steady laminar boundary layer flow of a nonlinear mixed convection flow of micropolar nanofluid with Soret and magnetic field effect over a nonisothermal sphere is evaluated. +e mathematical formulation for the flow problem has been made with appropriate similarity transformation and dimensionless variables, and the main nonlinear boundary value problems were reduced into mixed high-order nonlinear ordinary differential equations. Solution for velocity, microrotation, temperature, and concentration has been obtained numerically. The equations were calculated using method bvp4c from Matlab software for various quantities of main parameters. The effects of various parameters on skin friction coefficient f ''(0), wall duo stress coefficient -G'(0), and convection mass transfer coefficient -Phi'(0) are analysed and presented through the graphs and tables. The convergence test has been maintained. For the number of points greater than the suitable mesh number of points, the precision is not influenced but the set time is increased. Moreover, a comparison with a previous paper, obtainable in the literature, has been presented and an excellent agreement is obtained. The findings indicate that an increase in the values of nonisothermal parameters (m, P), magnetic Ma, thermal and solutal nonlinear convection (lambda, s) parameter, and Soret number is to enhance the temperature difference between the boundary layer and ambient fluid to diffuse which increases the velocity profile f'(zeta) and their boundary layer thicknesses near the surface of the sphere.
机译:本文在非等温球体上评估了具有Soret和磁场效应的微极性纳米流体非线性混合对流的二维稳态层流边界层流。+e对流动问题进行了数学公式化,并进行了适当的相似变换和无量纲变量,并将主要的非线性边界值问题简化为混合高阶非线性常微分方程。已经通过数值获得了速度、微旋转、温度和浓度的解。使用Matlab软件的bvp4c方法计算各种主参数的方程。分析了各参数对表皮摩擦系数f''(0)、壁双应力系数-G'(0)和对流传质系数-Phi'(0)的影响。收敛测试一直保持不变。对于大于合适网格点数的点数,精度不受影响,但设置时间会增加。此外,还提出了与文献中先前论文的比较,并获得了很好的一致性。结果表明,非等温参数(m,P)、磁马、热和溶质非线性对流(λ,s)参数和Soret数值的增加是增强边界层与环境流体之间的温差以扩散,从而增加球体表面附近的速度分布f'(zeta)及其边界层厚度。

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