Issue Eur. Phys. J. AP Volume 18, Number 1, April 2002 Page(s) 51 - 56 Section Physics and Mechanics of Fluids DOI 10.1051/epjap:2002026

Eur. Phys. J. AP 18, 51-56 (2002)
DOI: 10.1051/epjap:2002026

Transport induced by a surface acoustic wave along a slab

Kwang-Hua W. Chu

Department of Physics, Northwest Normal University, Gansu, Lanzhou 730070, PR China

chukh01@nwnu.edu.cn

(Received: 7 April 2001 / Received in final form: 21 January 2002 / Accepted: 24 January 2002 )

Abstract
The transport of non-equilibrium gases in the flow regime of slightly rarefied gas dynamics within a plane channel bounded by two parallel slabs is addressed. Hydrodynamic derivation of the entrainment of rarefied gases induced by a surface acoustic wave (SAW) along the walls in a confined parallel-plane microchannel is conducted by considering the nonlinear coupling between the interface and the velocity-slip. Both no-slip and slip flow results are obtained with the former ones matched with the previous approach. The critical reflux values associated with the product of the second order pressure-gradient and the Reynolds number decrease as the Knudsen number increases from zero to 0.1. We found when the Reynolds number is larger the surface wave-modulation effect (due to the wave number) to the flow field is significant which represents the strong coupling between the boundary and the flow-inertia term. Meanwhile, the (perturbed) mean flow induced by SAW along the walls of a 2D microchannel is proportional to the square of the wave-amplitude ratio which has been qualitatively confirmed by previous approaches.

PACS
05.60.-k - Transport processes.
47.45.-n - Rarefied gas dynamics.


© EDP Sciences 2002

What is OpenURL?