Linear stability of acoustic streaming flows in microchannels.
We study the stability of acoustic streaming flows of fluids induced by a small-amplitude surface acoustic wave propagating along the walls of a confined parallel-plane microchannel or microslab in the incompressible flow regime. The secondary (Navier) slip flows are of negligible effect on the stability characteristic compared with the primary (Navier) slip flow. The governing equation, which was derived by considering the weakly nonlinear coupling between the wavy interface and the viscous fluid, is obtained by taking into account the (Navier) slip conditions and then the eigenvalue problem is solved by a verified numerical code together with the associated dynamic and kinematic conditions. The value of the critical Reynolds number was found to be near 1441 which is smaller than the value 5772 for conventional pressure-driven flows.
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A Kwang-Hua
AK
Chu