Eur. Phys. J. AP
Volume 17, Number 2, February 2002
|Page(s)||131 - 137|
|Section||Plasma, Discharges and Processes|
|Published online||15 February 2002|
Molecular flows in annuli with corrugated walls
Department of Physics, Northwest Normal
University, Gansu, Lanzhou 730070, PR China
Corresponding author: firstname.lastname@example.org
Revised: 28 August 2001
Accepted: 30 October 2001
Published online: 15 February 2002
Weakly nonlinear coupling comes from deterministic noises due to fixed boundaries and mean stochastic motion of molecular gases inside interior domains is investigated. The effect of deterministic surface wavy-roughness on molecular flows inside annuli with microfabricated solid walls was presented. The continuum-limit equations are being solved using perturbation methods with incorporated microscopic slip conditions along the small wavy-wall. The volume flow rate thus obtained, considering fully-developed parallel flow cases, contains terms which are related to the Knudsen number (Kn) of the fluid; the ratio of the inner to outer radius (); roughness ratio (ϵ), phase shift (β) and wave number (k) of the small wavy-roughness elements. There are critical pairs (k,β) which tell us under certain Kn and larger cases, the trend for the second order volume flow rate is increasing or decreasing.
PACS: 05.60.-k – Transport processes / 47.45.-n – Rarefied gas dynamics / 47.60.+i – Flows in ducts, channels, nozzles, and conduits
© EDP Sciences, 2002
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