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Self-similar solution of the unsteady flow in the stagnation point region of a rotating sphere with a magnetic field

机译:磁场作用下旋转球停滞区非定常流动的自相似解

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摘要

The unsteady flow and heat transfer of a viscous incompressible electrically conducting fluid in the forward stagnation point region of a rotating sphere in the presence of a magnetic field are investigated in this study. The unsteadiness in the flow field is caused by the velocity at the edge of the boundary layer and the angular velocity of the rotating sphere, both varying continuously with time. The system of ordinary differential equations governing the flow is solved numerically. For some particular cases, an analytical solution is also obtained. It is found that the surface shear stresses in x- and y-directions and the surface heat transfer increase with the acceleration, the magnetic and the rotation parameters whether the magnetic field is fixed relative to the fluid or body, except that the surface shear stress in x-direction and the surface heat transfer decrease with increasing the magnetic parameter when the magnetic field is fixed relative to the body. For a certain value of the acceleration parameter, the surface shear stress in the x-direction vanishes while the surface shear stress in the y-direction and the surface heat transfer remain finite. Also, below a certain value of the acceleration parameter, reverse flow occurs in the x-component of the velocity profile.
机译:本研究研究了在磁场作用下旋转球体正滞点区域中粘性不可压缩导电流体的非稳态流动和热传递。流场的不稳定是由边界层边缘的速度和旋转球体的角速度引起的,两者都随时间连续变化。用数值方法求解控制流量的常微分方程组。对于某些特定情况,还可以获得分析解决方案。研究发现,除了表面剪切应力外,x方向和y方向上的表面剪切应力以及表面传热均随加速度,磁场参数相对于流体或物体的固定而随加速度,磁和旋转参数的增加而增加。当磁场相对于人体固定时,沿x方向的X轴方向和表面传热会随着磁参数的增加而降低。对于一定的加速度参数值,x方向的表面剪切应力消失,而y方向的表面剪切应力和表面传热保持有限。同样,在加速度参数的某个值以下时,在速度曲线的x分量中会发生反向流动。

著录项

  • 作者

    Takhar HS; Nath G;

  • 作者单位
  • 年度 2000
  • 总页数
  • 原文格式 PDF
  • 正文语种 {"code":"en","name":"English","id":9}
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