TY - JOUR
T1 - Lubrication approximation for microparticles moving along parallel walls
AU - Ekiel-Jezewska, Maria L.
AU - Wajnryb, Eligiusz
AU - Bławzdziewicz, Jerzy
AU - Feuillebois, Fraņois
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2008
Y1 - 2008
N2 - Lubrication expressions for the friction coefficients of a spherical particle moving in a fluid between and along two parallel solid walls are explicitly evaluated in the low-Reynolds-number regime. They are used to determine lubrication expression for the particle free motion under an ambient Poiseuille flow. The range of validity and the accuracy of the lubrication approximation are determined by comparing with the corresponding results of the accurate multipole procedure. The results are applicable for thin, wide, and long microchannels, or quasi-two-dimensional systems.
AB - Lubrication expressions for the friction coefficients of a spherical particle moving in a fluid between and along two parallel solid walls are explicitly evaluated in the low-Reynolds-number regime. They are used to determine lubrication expression for the particle free motion under an ambient Poiseuille flow. The range of validity and the accuracy of the lubrication approximation are determined by comparing with the corresponding results of the accurate multipole procedure. The results are applicable for thin, wide, and long microchannels, or quasi-two-dimensional systems.
UR - http://www.scopus.com/inward/record.url?scp=56349106023&partnerID=8YFLogxK
U2 - 10.1063/1.3009251
DO - 10.1063/1.3009251
M3 - Article
C2 - 19045379
AN - SCOPUS:56349106023
VL - 129
JO - The Journal of Chemical Physics
JF - The Journal of Chemical Physics
SN - 0021-9606
IS - 18
M1 - 181102
ER -