首页> 外文期刊>Frontiers in Heat and Mass Transfer >HEAT TRANSFER ANALYSIS FOR THE UNSTEADY UCM FLUID FLOW WITH HALL EFFECTS: THE TWO-PARAMETER LIE TRANSFORMATIONS
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HEAT TRANSFER ANALYSIS FOR THE UNSTEADY UCM FLUID FLOW WITH HALL EFFECTS: THE TWO-PARAMETER LIE TRANSFORMATIONS

机译:霍尔效应的不稳定UCM流体流动传热分析:双参数级转换

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This methodology presented the unsteady three-dimensional laminar flow since Hall effects inducing the cross flow in z-axis. The boundary layer and the low magnetic Reynolds number approximations are used to simplify the system of equations derived from the constitutive laws. The upper-convected Maxwell (UCM) fluid model used for Hall effects with unsteady heat transfer, which passed through the infinite stretching sheet. This flow model has intensified with the effects of magnetohydrodynamic (MHD), thermal radiation and heat generation-absorption. Here, we selected the two-parameter Lie scaling transformations to convert the highly non-linear partial differential equations (PDEs) to the ordinary differential equations (ODEs) which are studied numerically using the MATLAB bvp4c method. The main parameters are: Deborah number Deu, Hartmann number Mu, Hall effects parameter mu, Prandtl number Pr, thermal radiation parameter _u and heat generation-absorption Qu. Hall effects reduced the transport rate in the ex-axis but increased the transport rate in the z-axis. On the other hand, the Hall parameter is extravagant to transport the internal energy of the system.
机译:这种方法呈现了非稳定的三维层流,因为露出Z轴的交叉流动的霍尔效应。边界层和低磁性雷诺数近似用于简化来自本构规定的方程的系统。用于霍尔效应的上对焦的麦克斯韦(UCM)流体模型,其具有不稳定的传热,通过无限拉伸纸张。该流动模型具有磁性信息动力学(MHD),热辐射和发热吸收的影响。这里,我们选择了双参数Lie缩放变换,以将高度非线性的部分微分方程(PDE)转换为使用MATLAB BVP4C方法在数值上进行研究的常微分方程(ODES)。主要参数是:Deborah Number Deu,Hartmann Number Mu,Hall效果参数mu,Prandtl Number Pr,热辐射参数_u和发热吸收曲。霍尔效应减少了在轴上的运输速率,但增加了Z轴的运输速率。另一方面,大厅参数是奢侈,以运送系统的内部能量。

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