摘要：

数值研究了零重力与重力环境下圆形载流线圈绕X轴倾斜时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，其他壁面绝热。磁场计算采用毕奥-萨伐定律。控制方程基本变量采用控制容积法离散，求解采用SIMPLE算法。获得了空气热磁对流的流场和温度场，以及平均Nusselt数并进行了比较，计算结果表明磁场力和线圈倾斜角对方腔内流场和换热有重要影响。随γ增加，方腔内对流变得越来越强。零重力环境下，Nu_m关于x_euler=45°呈现对称分布；重力环境下，Nu_m关于x_euler=0°

Abstract:

Thermomagnetic convection of air in a cubic enclosure with an electric coil inclined around the X axis was numerically investigated under nongravity and gravity environment.The cubic enclosure was heated isothermally from left-hand side vertical wall and cooled isothermally from the opposite wall while the other four walls were thermally insulated.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.Computations were performed in a range of the inclination angle of coil x_euler from -90° to 90°, and magnetic force parameter γ from 0 to 200.The flow and temperature fields for the air thermomagnetic convection were presented and mean Nusselt numbers on the walls were calculated and compared.The results show that both the magnetic force and the coil inclination have significant effect on the flow field and heat transfer in a cubic enclosure.The overall heat transfer is enhanced gradually with the increase of γ.Under the zero gravity environment, the resulted convection is symmetrical in terms of the angle at x_euler=45° when the range of inclination angle is from 0° to 90°.The coil inclination changes the average Nusselt number and a local maximum is obtained at x_euler=45° for every case.Local minima are obtained at x_euler=0°, 90°, etc. Values of the average Nusselt number appear periodically with period 90° in the inclination angle.Under the gravity environment, the resulted convection is symmetrical in terms of the angle at x_euler=0°, 90° when the range of inclination angle is from -90° to 90°.Values of Nu_m appear periodically with period 180° in the inclination angle.The coil inclination changes Nu_m and a local maximum is obtained at x_euler=45° for every case.