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arXiv 2401.04045physics.flu-dyn
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旋转磁场产生界面波

Generation of interfacial waves by rotating magnetic fields

Gerrit Maik Horstmann, Yakov Nezihovski, Thomas Gundrum, Alexander Gelfgat

AI总结:

本文研究了低频旋转磁场驱动两相流产生的界面波,构建线性波模型并导出解析解,通过非侵入式声学实验验证了理论预测,发现其能改善冶金传质并伴随高次谐波激发。

摘要:

本文研究了由低频旋转磁场(RMF)驱动的两相旋转流中产生的界面波。在低RMF频率下(约1-10 Hz量级),感应洛伦兹力的振荡部分变得与时间平均部分相当,不可忽略。特别是,当自由表面或双液体稳定分层系统受到低频RMF作用时,感应的压力变化必然会激发自由表面/界面波,这可以改善不同冶金过程中的质量传递。本文构建了一个线性波模型,并导出了显式解析解,预测了RMF驱动的波形,其与双曲抛物面高度相似。这些理论预测通过基于非侵入式声学测量技术的实验进行了验证,该技术测量了两相KOH-GaInSn稳定分层系统中的液-液界面高度。在基本共振频率附近,对于非共振波响应,发现理论与实验具有良好的定量一致性。实验揭示了叠加在基波振荡之上的几个高次谐波的额外激发,这些谐波即使在线性波区也是可见的。

英文摘要:

Interfacial waves arising in a two-phase swirling flow driven by a low-frequency rotating magnetic field (RMF) are studied. At low RMF frequencies, of the order of 1-10 Hz, the oscillatory part of the induced Lorenz force becomes comparable to the time-averaged one, and cannot be neglected. In particular, when free surfaces or two-liquid stably stratified systems are subject to a low-frequency RMF, induced pressure variations necessarily excite free-surface/interfacial waves, which can improve mass transfer in different metallurgical processes. In this paper, we formulate a linear wave model and derive explicit analytical solutions predicting RMF-driven wave patterns that closely resemble hyperbolic paraboloids. These theoretical predictions are validated against experiments based on a non-intrusive acoustic measurement technique, which measures liquid-liquid interface elevations in a two-phase KOH-GaInSn stably stratified system. A good quantitative agreement is found for non-resonant wave responses in the vicinity of the fundamental resonance frequency. The experiments reveal the additional excitation of several higher harmonics superimposing the fundamental wave oscillation, which are visible even in the linear wave regime.

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