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
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.
PACS: 05.60.-k – Transport processes: theory / 47.45.-n – Rarefied gas dynamics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000