BUOYANCY DRIVEN CONVECTION IN A RECTANGULAR ENCLOSURE WITH A TRANSVERSE MAGNETIC-FIELD
BUOYANCY DRIVEN CONVECTION IN A RECTANGULAR ENCLOSURE WITH A TRANSVERSE MAGNETIC-FIELD
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DOI：
10.1016/0017-9310(92)90242-k
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发表时间：
1992-04-01
影响因子：
5.2
通讯作者：
MOREAU, R
中科院分区：
文献类型：
--
作者：
GARANDET, JP;ALBOUSSIERE, T;MOREAU, R
我们给出了磁流体力学方程的一个解析解，它可以用来模拟横向磁场对二维腔内浮力驱动对流的影响。在高Hartmann数极限下，在垂直于磁场的壁附近的两个Hartmann层外，核心内的速度梯度是恒定的。我们证明了这种核解在空腔内的所有地方都是正确的，除了在冷壁的Ha-1/2范围的边界层中。通过允许计算流函数的级数展开来研究流动的循环部分。我们还给出了速度的两个分量作为Ha的函数的变化，并讨论了我们假设的正确性。
We propose an analytical solution to the equations of magnetohydrodynamics that can be used to model the effect of a transverse magnetic field on buoyancy driven convection in a two-dimensional cavity. In the high Hartmann number limit, the velocity gradient in the core is constant outside of the two Hartmann layers at the vicinity of the walls normal to the magnetic field. We show that this core solution is correct everywhere in the cavity except in a boundary layer of extent Ha-1/2 at the cold wall. The recirculating part of the flow is studied by means of a series expansion that allows for the computation of the stream function. We also present the variation of both components of velocity as a function of Ha, along with a discussion of the validity of our assumptions.