Chu A Kwang-Hua
Department of Physics, Northwest Normal University, Gansu, Lanzhou 730070, People's Republic of China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Oct;68(4 Pt 2):046305. doi: 10.1103/PhysRevE.68.046305. Epub 2003 Oct 23.
We study the stability of acoustic streaming flows of normal fluids induced by a small-amplitude surface acoustic wave propagating along the walls of a confined parallel-plane channel or slab in the incompressible flow regime. The secondary flows derived are of negligible effect to the stability characteristic after comparing with the primary flow. The governing equation which was derived by considering the weakly nonlinear coupling between the wavy wall and viscous fluid is obtained and then the eigenvalue problem is solved by a numerical code together with the associated dynamic and kinematic conditions. The value of the critical Reynolds number was found to be near 4873 which is smaller than the case 5772 for conventional pressure-driven flows.
我们研究了在不可压缩流态下，沿受限平行平面通道或平板壁面传播的小振幅表面声波所诱导的正常流体声流的稳定性。与主流相比，导出的二次流对稳定性特征的影响可忽略不计。通过考虑波状壁面与粘性流体之间的弱非线性耦合，得到了控制方程，然后用数值代码结合相关的动力学和运动学条件求解特征值问题。发现临界雷诺数的值接近4873，这比传统压力驱动流的情况5772要小。
