Eur. Phys. J. B 16, 543-547 (2000)
https://doi.org/10.1007/s100510070215

Peristaltic transport in a slip flow

Department of Mechanics and Engineering Science, Peking University, Haidian District, Beijing 100871, PR China

Corresponding author: ^a chukh99@mail.mech.pku.edu.cn

Received: 27 August 1999
Revised: 10 January 2000
Published online: 15 August 2000

Abstract

Continuum-mechanic derivation of the entrainment of rarefied gases induced by a surface wave along walls (or peristaltic transport) in a confined parallel-plane microchannel is conducted by the perturbation method. Both no-slip and slip flow cases are investigated with the former ones matched with the previous approach by Fung and Yih. Critical reflux values due to first order slip-flow effects become trivial for the free pumping case, and decrease due to second order slip-flow effects after we compared them with no-slip cases.