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

Publication Year
2017

Type

Journal Article
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.

Journal
Proc Math Phys Eng Sci
Volume
473
Issue
2206
Pages
20170234
Date Published
2017 Oct
ISSN Number
1364-5021
Alternate Journal
Proc Math Phys Eng Sci
PMCID
PMC5666228
PMID
29118658