A NEW NUMERICAL INVESTIGATION OF SOME THERMO-PHYSICAL PROPERTIES ON UNSTEADY MHD NON-DARCIAN FLOW PAST AN IMPULSIVELY STARTED VERTICAL SURFACE

A NEW NUMERICAL INVESTIGATION OF SOME THERMO-PHYSICAL PROPERTIES ON UNSTEADY MHD NON-DARCIAN FLOW PAST AN IMPULSIVELY STARTED VERTICAL SURFACE
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经脉冲启动垂直表面的不稳定MHD非达西流的一些热物理性质的新数值研究

DOI:
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发表时间:
2015
期刊:
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通讯作者:
I. L. Animasaun
I. L. Animasaun
中科院分区:
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文献类型:
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作者:
S. Motsa;I. L. Animasaun

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研究了非定常非达西磁流体流通过脉冲启动的垂直多孔表面的行为。考虑了胶体颗粒在宏观温度梯度作用下的迁移引起的热电渗流效应。假定动态粘度和导热系数都是温度的线性函数。通过适当的相似变换,将控制方程无量纲化,从而可以揭示流动在短时间和长时间周期内的行为。提出了一种新的求解高度非线性偏微分方程组的迭代格式,称为二元谱局部线性化方法。给出了数值解的结果,并分析了各种重要参数对边界层内速度场、温度场和浓度场的影响。
The behaviour of unsteady non-Darcian magnetohydrodynamic fluid flow past an impulsively started vertical porous surface is investigated. The effect of thermophoresis due to migration of colloidal particles in response to a macroscopic temperature gradient is taken into account. It is assumed that both dynamic viscosity and thermal conductivity are linear functions of temperature. The governing equations are non-dimensionalized by using suitable similarity transformation which can unravel the behaviour of the flow at short time and long time periods. A novel iteration scheme, called bivariate spectral local linearization method is developed for solving the corresponding systems of highly non-linear partial differential equations. The results of the numerical solutions obtained are presented graphically and analyzed for the effects of the various important parameters entering into the problem on velocity, temperature, and concentration field within the boundary layer.