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Thermoelectric magnetohydrodynamic effects during bridgman semiconductor crystal growth with a uniform axial magnetic field: large hartmann-number asymptotic solution

机译:具有均匀轴向磁场的Bridgman半导体晶体生长过程中的热电磁力流体动力学效应:大型Hartmann-numany渐近溶液

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This paper treats the thermoelectric magnetohydrodynamic (TEMHD) efffects during Bridgman semiconductor crystal growth in a cylindrical ampoule with a strong uniform axial magnetic field. The melt is bounded by a planar crystal-melt interface, the cylindrical ampoule surface and a planar free surface. Inertial effects are negligible everywhere with a sufficiently strong magnetic field, while viscous effects are important only in thin boundary layers. A parabolic temperature variation is assumed at the crystal-melt interface. THe thermoelectric current circulates through the crystal and the Hartmann layer adjacent to the crystal-melt interface. There is no current in the core and in the free surface Hartmann layer. The axially uniform azimuthal velocity in the inviscid core region is zero at the centerline and at the ampoule wall, with a maximum at some radial position. The meridional melt motion involves radially inward flwo near the crystal-melt interface. The differences between the numerical and asymptotic Bridgman models are discussed.
机译:本文在圆柱形安瓿中的圆柱形安瓿中的热电磁力流体动力学(Temhd)效果具有强均匀的轴向磁场。熔体由平面晶体熔体界面,圆柱形安瓿表面和平面自由表面有界。无处不在具有足够强的磁场的惯性效应可以忽略不计,而粘性效果仅在薄边界层中重要。在晶体熔体界面处假设抛物线温度变化。热电电流循环通过晶体和邻近晶体熔体界面的Hartmann层循环。核心没有电流和自由表面Hartmann层。在中心线和安瓿壁上的轴向均匀的方位角速度为零,在细颈墙上是零点,在一些径向位置处最大。优选熔体运动涉及晶体熔体界面附近的径向向内的FLWO。讨论了数值和渐聚物Bridgman模型之间的差异。

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