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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. ChuDepartment 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.
05.60.-k - Transport processes.
47.45.-n - Rarefied gas dynamics.
© EDP Sciences 2002
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