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首页> 外文期刊>Applied Mathematical Modelling >Effect of aligned magnetic field on the steady viscous flow past a circular cylinder
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Effect of aligned magnetic field on the steady viscous flow past a circular cylinder

机译：对准磁场对通过圆柱体的稳定粘性流的影响

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摘要

The steady viscous incompressible and slightly conducting fluid flow around a circular cylinder with an aligned magnetic field is simulated for the range of Reynolds numbers 100 ≤ Re ≤ 500 using the Hartmann number, M. The multigrid method with defect correction technique is used to achieve the second order accurate solution of complete non-linear Navier-Stokes equations. The magnetic Reynolds number is assumed to be small. It is observed that volume of the separation bubble decreases and drag coefficient increases as M is increased. We noticed that the upstream base pressure increases slightly with increase of M whereas downstream base pressure decreases with increase of M. The effect of the magnetic field on the flow is discussed with contours of streamlines, vorticity, plots of surface pressure and surface vorticity.
机译：使用Hartmann数M对雷诺数为100≤Re≤500的范围内的恒定黏性不可压缩且略微传导的流体在具有对齐磁场的圆柱体周围进行模拟。采用带有缺陷校正技术的多重网格方法来实现完整的非线性Navier-Stokes方程的二阶精确解。假定雷诺磁数小。观察到，随着M的增加，分离气泡的体积减小并且阻力系数增加。我们注意到，上游基础压力随M的增加而略有增加，而下游基础压力随M的增加而减小。磁场对流的影响通过流线，涡度，表面压力图和表面涡度等高线进行了讨论。

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