Daru Virginie, Weisman Catherine, Baltean-Carlès Diana, Bailliet Hélène
DynFluid Lab., Arts et Métiers Institute of Technology, 151 Boulevard de l'Hôpital, Paris, 75013, France.
Sorbonne Université, CNRS, Institut Jean Le Rond d'Alembert, ∂'Alembert, 4 Place Jussieu, Paris, 75005, France.
J Acoust Soc Am. 2021 Dec;150(6):4501. doi: 10.1121/10.0009026.
Complex coupling between thermal effects and Rayleigh streaming in a standing wave guide at high acoustic levels is analyzed numerically. The approach is guided by the recent analytical study, showing that reverse streaming cells can form if the nonlinear Reynolds number exceeds a value depending on the wave frequency and thermophysical properties of the fluid and solid wall. A numerical configuration is introduced to investigate the evolution of the streaming flow structure and the average temperature field at high acoustic levels. Special attention is given to inhibit the development of shock waves. The heat conduction is accounted for in the wall. As the acoustic level is increased, the average temperature field becomes stratified transversely. The simulations show the relevance of the criterion for characterizing the appearance of additional contrarotating streaming cells near the acoustic velocity antinodes. For higher acoustic levels, these additional cells evolve into increasingly large stagnant zones, where the streaming flow is of very small amplitude and the contours of temperature are stratified longitudinally. The overall outer streaming flow decreases. These results are consistent with previous experimental observations, showing that the intrinsic coupling between the thermal effects and acoustic streaming at high levels is very well described.
对高声强驻波导管中热效应与瑞利流之间的复杂耦合进行了数值分析。该方法以最近的分析研究为指导,研究表明,如果非线性雷诺数超过一个取决于波频率以及流体和固体壁面热物理性质的值,就会形成反向流动单元。引入了一种数值配置来研究高声强下流场结构和平均温度场的演变。特别关注抑制冲击波的发展。考虑了壁面中的热传导。随着声强的增加,平均温度场横向分层。模拟结果表明了该准则对于表征声速波腹附近额外反向旋转流动单元出现的相关性。对于更高的声强,这些额外的单元演变成越来越大的停滞区,在这些区域中,流动的振幅非常小,温度轮廓纵向分层。整体外部流动减小。这些结果与先前的实验观察结果一致,表明高水平下热效应与声流之间的内在耦合得到了很好的描述。