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EXACT SOLUTION OF MHD MIXED CONVECTION PERIODIC FLOW IN A ROTATING VERTICAL CHANNEL WITH HEAT RADIATION

机译:带有旋转辐射的旋转垂直通道中MHD混合对流周期流的精确解

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摘要

Magnetohydrodynamic (MHD) mixed convection flow of a viscous, incompressible and electrically conducting fluid in a vertical channel is analyzed analytically. A magnetic field of uniform strength is applied perpendicular to the planes of the channel walls. The fluid is acted upon by a periodic variation of the pressure gradient in the vertically upward direction. The temperature of one of the plates is non-uniform and the temperature difference of the walls of the channel is high enough to induce heat transfer due to radiation. The fluid and the channel rotate in unison with an angular velocity about the axis normal to the plates of the channel. An exact analytical solution of the problem is obtained. Two cases of small and large rotation have been considered to assess the effects of different parameters involved in the flow problem. The velocity field, the amplitude and the phase angle of the shear stress are shown graphically and discussed in detail. During analysis it is found that the flow problem studied by Makinde and Mhone (2005) is incorrect physically and mathematically.
机译:分析了垂直通道中粘性,不可压缩和导电流体的磁流体动力学(MHD)混合对流。垂直于通道壁平面施加均匀强度的磁场。流体在垂直向上的方向上受到压力梯度的周期性变化的作用。板之一的温度是不均匀的,并且通道壁的温度差足够高以引起由于辐射引起的热传递。流体和通道以垂直于通道板的轴线的角速度一致地旋转。获得了该问题的精确分析解决方案。已经考虑了大小旋转的两种情况,以评估涉及流动问题的不同参数的影响。图解显示了速度场,剪切应力的幅度和相角,并进行了详细讨论。在分析过程中,发现Makinde和Mhone(2005)研究的流动问题在物理和数学上都是错误的。

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