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MHD mixed convection of a viscous dissipating fluid about a vertical slender cylinder

机译:MHD粘性耗散流体在垂直细长圆柱体周围的混合对流

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摘要

The problem of steady laminar magnetohydrodynamic (MHD) mixed convection heat transfer about a heated/cooled vertical slender cylinder is studied numerically, taking into account the effects of transverse curvature and viscous dissipation. A uniform magnetic field is applied perpendicular to the cylinder. The resulting governing equations are transformed into the nonsimilar boundary layer equations and solved using the Keller box method. The velocity and temperature profiles as well as the local skin friction and the local heat transfer parameters are determined for different values of the governing parameters, mainly the magnetic parameter, the Richardson number, and the Eckert number. For some specific values of the governing parameters, the results agree very well with those available in the literature. Generally, it is determined that the local skin friction coefficient and the local heat transfer coefficient increase, increasing the Richardson number and the magnetic parameter Mn or decreasing the Eckert number.
机译:考虑了横向曲率和粘性耗散的影响,数值研究了加热/冷却的垂直细长圆柱体的稳定层流磁流体动力(MHD)混合对流换热问题。垂直于圆柱体施加均匀的磁场。所得的控制方程式被转换为非相似边界层方程式,并使用凯勒盒方法求解。对于控制参数的不同值(主要是磁参数,理查森数和埃克特数),确定了速度和温度曲线以及局部皮肤摩擦和局部传热参数。对于某些特定的控制参数值,结果与文献中的结果非常吻合。通常,确定局部皮肤摩擦系数和局部传热系数增加,从而增加了理查森数和磁参数Mn或降低了埃克特数。

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