We have numerically demonstrated a type of enhanced Rayleigh streaming in a resonant cylindrical shell (CS) by using the limiting velocity method. It is found that the main characteristics of the resonant streaming field resemble those of classical Rayleigh streaming in a rigid cylindrical cavity. Nevertheless, the maximum velocity of the demonstrated streaming in the resonant CS is significantly higher than that of classical Rayleigh streaming in a rigid cylindrical cavity under the same acoustic conditions. In addition, the velocity of the demonstrated streaming at the low resonant frequency is higher than that at the high resonant and non-resonant frequencies in the shell. The enhancement of the demonstrated streaming originates from the resonant excitation of non-leaky circumferential modes intrinsic to the CS, characterizing with the enhanced gradient acoustic fields in the viscous boundary layer around its inner surface. This type of streaming may be of interest for acoustofluidic devices in many applications such as particle manipulation and liquid mixing.

我们已经通过使用极限速度方法在数值上证明了共振圆柱壳 (CS) 中的一种增强型瑞利流。发现共振流场的主要特征类似于刚性圆柱腔中的经典瑞利流场。尽管如此，在相同声学条件下，共振 CS 中所证明的流的最大速度明显高于刚性圆柱腔中的经典瑞利流。此外，在低共振频率下演示的流动速度高于壳中高共振和非共振频率下的速度。所证明的流的增强源于 CS 固有的非泄漏圆周模式的共振激发，其特征在于其内表面周围的粘性边界层中增强的梯度声场。这种类型的流可能对许多应用中的声流体设备感兴趣，例如粒子操纵和液体混合。