Abstract A numerical study is performed to demonstrate the thermomagnetic convection of air in a side-wall heated enclosure under constant gravity and time-periodic magnetizing force formed by current with sinusoidal waveform. Two cases have been considered: electric coil is located at the right side of the enclosure in case 1, and in case 2 the electric coil is below the enclosure. The spectral element method is applied to obtain the numerical solutions from the time-dependent Navier-Stokes equations including the magnetizing force term. The computed results show the existence of resonance, which is characterized by the maximum fluctuation of heat transfer in the interior. And the resonance phenomenon becomes more distinctive as Ra increases. Details of fluid flow and heat transfer under resonance is scrutinized by examining the evolution of oscillating components. The results indicate that case 1 exhibits advantages in using resonance to enhance the heat transfer rate, where a smaller magnetic strength is employed to simultaneously obtain larger fluctuations of fluid flow and heat transfer.

中文翻译：

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由于时间周期磁化力，外壳中顺磁流体的热磁对流共振增强

摘要 数值研究证明了在恒定重力和正弦波形电流形成的时间周期磁化力作用下，侧壁加热外壳中空气的热磁对流。考虑了两种情况：情况 1 中电线圈位于外壳右侧，情况 2 中电线圈位于外壳下方。应用谱元方法从包含磁化力项的瞬态纳维-斯托克斯方程中获得数值解。计算结果表明存在共振，其特征是内部传热波动最大。随着 Ra 的增加，共振现象变得更加明显。通过检查振荡组件的演变来仔细检查共振下的流体流动和热传递的细节。结果表明，情况1在利用共振提高传热速率方面具有优势，其中采用较小的磁场强度同时获得较大的流体流动和传热波动。