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首页> 外文期刊>Applied Mathematical Modelling >Mixed convection hydromagnetic flow in a rotating channel with Hall and wall conductance effects
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Mixed convection hydromagnetic flow in a rotating channel with Hall and wall conductance effects

机译：具有霍尔和壁电导效应的旋转通道中的混合对流水电磁流

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摘要

Mixed convection hydromagnetic flow of a viscous, incompressible, electrically and thermally conducting fluid in a rotating channel taking Hall current into account is studied. Fluid flow within the channel is induced due to an applied pressure gradient acting along the longitudinal axis of the plates of the channel. Exact solution of the governing equations is obtained in closed form. Expressions for the shear stress and critical Grashof number at the plates of the channel due to primary and secondary flows and mass flow rates in the primary and secondary flow directions are also derived. Asymptotic behavior of the solution for fluid velocity and induced magnetic field is analyzed for large values of rotation parameter K~2 and magnetic parameter M~2 to gain some physical insight into flow pattern. Heat transfer characteristics of fluid flow are considered taking viscous and Joule dissipations into account. Numerical solution of energy equation and numerical values of rate of heat transfer at the plates of the channel are computed with the help of MATLAB software. The numerical values of fluid velocity, induced magnetic field and fluid temperature are displayed graphically versus channel width variable η for various values of pertinent flow parameters whereas that of shear stress and critical Grashof number at the plates of the channel due to primary and secondary flows, mass flow rates in the primary and secondary flow directions and rate of heat transfer at the plates of the channel are presented in tabular form for various values of pertinent flow parameters.
机译：考虑了霍尔电流，研究了旋转通道中粘性，不可压缩，导电和导热流体的混合对流水磁流。由于沿通道板的纵轴作用的施加的压力梯度，导致通道内的流体流动。控制方程的精确解以封闭形式获得。还导出了由于主要和次要流动以及主要和次要流动方向上的质量流率引起的通道板处的剪切应力和临界Grashof数的表达式。对于较大的旋转参数K〜2和磁性参数M〜2，分析了流体速度和感应磁场解的渐近行为，从而获得了对流型的一些物理认识。考虑了粘性和焦耳耗散，考虑了流体流动的传热特性。利用MATLAB软件计算出能量方程的数值解和通道板传热率的数值。对于相关流动参数的各种值，以图形方式显示了流体速度，感应磁场和流体温度的数值与通道宽度变量η的关系，而由于一次和二次流动，在通道板处的切应力和临界Grashof数的数值，对于相关流量参数的各种值，以表格形式显示了主要和次要流动方向上的质量流速以及通道板处的传热速率。

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