Extended lubrication theory: improved estimates of flow in channels with variable geometry.

TitleExtended lubrication theory: improved estimates of flow in channels with variable geometry.
Publication TypeJournal Article
Year of Publication2017
AuthorsTavakol, B, Froehlicher, G, Holmes, DP, Stone, HA
JournalProc Math Phys Eng Sci
Volume473
Issue2206
Pagination20170234
Date Published2017 Oct
ISSN1364-5021
Abstract

Lubrication theory is broadly applicable to the flow characterization of thin fluid films and the motion of particles near surfaces. We offer an extension to lubrication theory by starting with Stokes equations and considering higher-order terms in a systematic perturbation expansion to describe the fluid flow in a channel with features of a modest aspect ratio. Experimental results qualitatively confirm the higher-order analytical solutions, while numerical results are in very good agreement with the higher-order analytical results. We show that the extended lubrication theory is a robust tool for an accurate estimate of pressure drop in channels with shape changes on the order of the channel height, accounting for both smooth and sharp changes in geometry.

DOI10.1098/rspa.2017.0234
Alternate JournalProc. Math. Phys. Eng. Sci.
PubMed ID29118658
PubMed Central IDPMC5666228