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Finite element analysis of couple stress micropolar nanofluid flow by non-Fourier's law heat flux model past stretching surface

机译:通过非傅立叶定律热通量模型对耦合应力微极性纳米流体流过拉伸表面的有限元分析

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摘要

Numerical analysis has been done to investigate magnetohydrodynamics nonlinear convective flow of couple stress micropolar nanofluid with Catteneo-Christov heat flux model past stretching surface with the effects of heat generation/absorption term, chemical reaction rate, first-order slip, and convective boundary conditions. The coupled highly nonlinear differential equation governing the steady incompressible laminar flow has been solved by a powerful numerical technique called finite element method. The impacts of diverse parameters on linear velocity, angular velocity (micro-rotation), temperature, concentration profile, local skin friction coefficient, local wall couple stress, local Nusselt number, and Sherwood number are presented in graphical and tabular form. The result pointed out that the enhancement in material parameter β increases the velocity of the fluid while the couple stress parameter K has quite opposite effect. Heat and mass transfer rate of the fluid are enhanced by increasing material parameter while couple stress parameter shows the opposite influence. Moreover, heat and mass transfer rate are higher with the Catteneo-Christov heat flux model than Fourier's law of heat conduction. The accuracy of the present method has been confirmed by comparing with previously published works.
机译:已经进行了数值分析,以研究耦合应力微极性纳米流体与Catteneo-Christov热通量模型通过拉伸表面后的磁流体动力学非线性对流,其中热产生/吸收项,化学反应速率,一阶滑移和对流边界条件对这些流体的影响。已经通过称为有限元方法的强大数值技术解决了控制稳态不可压缩层流的耦合的高度非线性微分方程。图形和表格形式显示了各种参数对线速度,角速度(微旋转),温度,浓度分布,局部皮肤摩擦系数,局部壁偶应力,局部Nusselt数和Sherwood数的影响。结果指出,材料参数β的增加增加了流体的速度,而耦合应力参数K则产生了相反的作用。通过增加材料参数可以提高流体的传热和传质速率,而耦合应力参数则具有相反的影响。此外,在Catteneo-Christov热通量模型中,传热和传质速率要高于傅里叶热传导定律。通过与先前发表的作品进行比较,已经证实了本方法的准确性。

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