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首页> 外文期刊>Results in Physics >Numerical simulation for MHD Williamson fluid utilizing modified Darcy’s law
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Numerical simulation for MHD Williamson fluid utilizing modified Darcy’s law

机译：利用修正的达西定律对MHD Williamson流体进行数值模拟

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Objective of present investigation is to study peristaltic flow of MHD Williamson fluid in a planar symmetric channel. An incompressible fluid occupies the porous medium in a channel. Unlike the traditional approach, the modified Darcy’s law of Williamson fluid is utilized in the modeling. Numerous attempts for this aspect in non-Newtonian fluids have been made just by employing classical Darcy’s law of viscous fluid which is not correct. Heat and mass transfer equations are studied in the presence of Soret and Dufour effects. The walls of channel are flexible. In addition effects of slip are not ignored. The relevant problem formulation has been made and then simplified under long wavelength and low Reynolds number consideration. The effects of different embedded parameters on velocity, temperature, concentration and heat transfer rate are plotted numerically. Velocity, temperature and heat transfer rate are seen increasing when porosity parameter is enhanced. A decreasing effect of both Soret and Dufour numbers is observed for concentration profile.
机译：本研究的目的是研究平面对称通道中MHD Williamson流体的蠕动流动。不可压缩的流体在通道中占据了多孔介质。与传统方法不同，在建模中使用了修正的威廉姆森流体的达西定律。仅通过采用不正确的经典达西粘性流体定律，就已经在非牛顿流体中对此进行了许多尝试。在存在Soret和Dufour效应的情况下研究了传热和传质方程。通道壁是柔性的。此外，滑移的影响也不容忽视。已经提出了相关的问题公式，然后在长波长和低雷诺数的考虑下进行了简化。数值绘制了不同嵌入参数对速度，温度，浓度和传热速率的影响。当提高孔隙率参数时，速度，温度和传热速率会增加。对于浓度分布，可以观察到Soret和Dufour数均降低。

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