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Impact of induced magnetic field on magnetohydrodynamic (MHD) natural convection flow in a vertical annular micro-channel in the presence of radial magnetic field

机译:在径向磁场作用下,感应磁场对垂直环形微通道中磁流体动力学(MHD)自然对流的影响

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摘要

This study is devoted to investigate the effect of induced magnetic field on fully developed magnetohydrodynamic (MHD) natural convection flow of electrically conducting fluid in a vertical annular micro-channel formed by two concentric cylinders in the presence of imposed radial magnetic field. The velocity slip and temperature jump at the annular micro-channel surfaces are taken into account. The influence of induced magnetic field arising due to the motion of an electrically conducting fluid is taken into consideration. The governing equations of the motion are a set of simultaneous ordinary differential equations and their exact solutions in dimensionless form have been obtained under relevant boundary conditions. The expressions for velocity field, the induced magnetic field, temperature field, induced current density and skin friction have been obtained. A parametric study of the physical parameters is conducted and a representative set of numerical results for the velocity field, the induced magnetic field, temperature, induced current density, volume flow rate and skin friction are illustrated graphically to show interesting features of the radius ratio, rarefaction, fluid wall interaction, Hartmann number and the magnetic Prandtl number. During the course of investigation, it is found that for fixed value of Hartmann number, the skin friction profiles in the presence of induced magnetic field are higher compared to the case when the induced magnetic field is neglected.
机译:这项研究致力于研究在存在径向磁场的情况下,在两个同心圆柱形成的垂直环形微通道中,导电磁场对导电流体充分发展的磁流体动力学(MHD)自然对流的影响。考虑了环形微通道表面的速度滑移和温度跃变。考虑了由于导电流体的运动而产生的感应磁场的影响。运动的控制方程是一组联立的常微分方程,并且在相关的边界条件下获得了其无量纲形式的精确解。得到了速度场,感应磁场,温度场,感应电流密度和皮肤摩擦的表达式。对物理参数进行了参数研究,并以图形方式说明了速度场,感应磁场,温度,感应电流密度,体积流率和皮肤摩擦的一组代表性数值结果,以显示半径比的有趣特征,稀薄度,流体壁相互作用,哈特曼数和磁普朗特数。在研究过程中,发现对于哈特曼数的固定值,与忽略感应磁场的情况相比,在感应磁场存在下的皮肤摩擦曲线更高。

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