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Continuum-mechanic derivations of the entrainment of rarefied gases induced by a surface acoustic wave (SAW) along the wall in a confined microtube are conducted by the perturbation method. Both no-slip and slip flow results are presented with the former ones matched with the previous approach by Yin and Fung. The critical reflux pressure-gradient values decrease as the Knudsen number increases from zero. Meanwhile, the (perturbed) mean flow induced by SAW along the wall of a microtube is proportional to the square of the wave-amplitude ratio which has been confirmed by previous experiments.
(Received October 4 1999)
(Revised June 23 2000)
(Accepted November 17 2000)
(Online publication February 15 2001)