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数值分析了载流线圈绕Y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。计算过程中Ra数的变化范围为104~105,线圈倾斜角yeuler的变化范围为?90°~90°,磁场力数γ数的变化范围为0~200。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。结果表明线圈倾斜角yeuler和γ数对方腔内流动结构和传热性能有重要影响,而Ra数的变化只能改变其传热速率。
The thermomagnetic convection of the air in the square cavity was numerically analyzed when the current-carrying coil was tilted around the Y-axis. The left side of the cavity vertical wall isothermal heating, the right vertical wall isothermal cooling, other wall insulation. Biot-Savart’s law was used for the calculation of magnetic field; the control variables were discretized by the control volume method, and the SIMPLE algorithm was used for the solution. The range of variation of Ra number is 104 ~ 105 in the calculation process, the change range of the coil tilt angle yeuler is from? 90 ° to 90 °, and the range of magnetic force γ number varies from 0 to 200. The flow field and temperature field of air convection and the average Nusselt number were obtained and compared. The results show that the coil tilt angle yeuler and γ number have an important influence on the flow structure and heat transfer performance in the cavity, while the change of Ra number can only change the heat transfer rate.