Abstract
Continuum-mechanic derivations of the entrainment of molecular gases induced by a surface wave (SW) along the wall in a confined micro-tube are conducted by the perturbation method. Both no-slip and slip flow results are presented with the former ones matched with the previous approach. The critical (reflux) pressure-gradient values decrease as the Knudsen number increases from zero. Meanwhile, the (perturbed) mean flow induced by SW along the wall of a micro-tube is proportional to the square of the wave-amplitude ratio which has been confirmed by previous experiments. Stronger nonlinear coupling due to the boundary effect and the streaming flow are observed as the Reynolds number increase to 100 and the wave number of the surface wave is larger.
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