多孔介质方腔内空气热磁对流的数值模拟

Numerical Simulation of Thermomagnetic Convection of Air in a Porous Cubic Enclosure

数值分析了微重力环境下圆形载流线圈绕X轴倾斜时多孔介质方腔内空气热磁对流。方腔左侧垂直壁面等温加热、右侧垂直壁面等温冷却,其它壁面绝热。控制方程基本变量采用控制容积法离散,求解采用SIMPLE算法。计算过程中Ra数变化范围为104～105,线圈倾斜角xeuler的变化范围为0°～90°,磁场力数γ变化范围为0～200、Da数变化范围为5×10-4～5×10-3。计算结果表明随着γ数、Ra数和Da数的增加,多孔介质方腔内对流变得越来越强。线圈倾斜角xeuler从0°到90°变化时,对流结果关于xeluer=45°呈现对称关系。

This paper numerically investigates thermomagnetic convection of air in a porous cubic enclosure with a electric coil inclined around the X axis under microgravity environment. The porous cubic enclosure is heated isothermally from left-hand side vertical wall and cooled isothermally from opposing wall while the other four walls are thermally insulated. The governing equations in primitive variables are discretized by the finite-volume method and solved by the SIMPLE algorithm. Computations were performed for a range of the Rayleigh number from 10^4 to 10^5 , the inclination angle of coil Xeuler from 0° to 90°, magnetic force parameter γ from 0 to 200 and Danumber from 5×10^-4 to 5 × 10^-3. The results show that the overall heat transfer is enhanced gradually with the increase of γ number,Ra number and Da number. The resulted convection is symmetrical in terms of the angle at Xeuler =45° when the range of inclination angle is from 0° to 90°