线圈绕Y轴倾斜时多孔介质方腔内空气热磁对流的数值模拟

来源期刊:中南大学学报(自然科学版)2012年第2期

论文作者:姜昌伟 李贺松 陈冬林 石尔 朱先锋 李茂

文章页码:749 - 755

关键词:热磁对流;数值模拟;多孔介质;倾斜载流线圈;磁场力

Key words:thermomagnetic convection; numerical simulation; porous media; inclined electric coil; magnetic force

摘    要:

通过数值分析研究圆形载流线圈绕Y轴倾斜时多孔介质方腔内空气热磁对流。采用毕奥?萨伐定律计算磁场强度;对控制方程基本变量采用控制容积法离散,采用SIMPLE算法求解,获得空气热磁对流的流场和温度场以及壁面平均Nusselt数。研究结果表明:线圈倾斜角yeuler和磁场力数γ对多孔介质方腔内空气流场结构与传热性能有重要影响,当γ<100时,努塞尔数Num随着yeuler的变化呈现交替性增大和减小;而当γ>100时,Num随着γ的增加而增大;当yeuler=0°时,方腔上半部区域形成2个大漩涡而下半部区域形成2个小漩涡;当yeuler=±90°时,方腔下半部形成1个垂直大漩涡而顶部形成1个水平小漩涡。

Abstract:

Thermomagnetic convection of air in a porous cubic enclosure with a electric coil inclined around the Y axis was numerically investigated. Biot-Savart’s Law was used to calculate magnetic field. The governing equations in primitive variables were discretized by the finite-volume method and solved by the SIMPLE algorithm. The flow and temperature fields for the air thermomagnetic convection were presented and the mean Nusselt numbers on the walls was calculated and compared. The results show that the inclination angle of coil yeuler and magnetic force number γ have significant effect on the flow field characteristics and heat transfer performance in a cubic enclosure.When γ<100,Num is increased and decreased alternately with the change of yeuler; Num is increased with the increase of γ when γ>100. When yeuler=0°, two large rolls are generated in the upper part of the cube and two small convection rolls in the opposite direction are generated near the bottom floor. A large vertical roll and a small horizontal roll are generated in the lower and top part of the cube respectively at yeuler=±90°.

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