title: Lubrication approximation for microparticles moving along parallel walls.
abstract: 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.
authors.affiliation: Institute of Fundamental Technological Research, Polish Academy of Sciences, Swietokrzyska 21, 00-049 Warsaw, Poland. mekiel@ippt.gov.pl
authors.forename: Maria L
authors.initials: ML
authors.lastname: Ekiel-Jezewska
authors.forename: Eligiusz
authors.initials: E
authors.lastname: Wajnryb
authors.forename: Jerzy
authors.initials: J
authors.lastname: Bławzdziewicz
authors.forename: François
authors.initials: F
authors.lastname: Feuillebois