Darcy’s law for slow viscous flow past a stationary array of bubbles

Robert Lipton; Marco Avellaneda

doi:10.1017/S0308210500024276

Darcy’s law for slow viscous flow past a stationary array of bubbles

Robert Lipton, Marco Avellaneda

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We examine slow viscous flow past a concentrated bed of small stationary viscous bubbles of a second fluid, and derive Darcy’s law relating the average fluid velocity to the overall pressure gradient and body force.

Original language	English (US)
Pages (from-to)	71-79
Number of pages	9
Journal	Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Volume	114
Issue number	1-2
DOIs	https://doi.org/10.1017/S0308210500024276
State	Published - 1990

ASJC Scopus subject areas

General Mathematics

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@article{7f78a778ee3e4dbca40b848669961d18,

title = "Darcy{\textquoteright}s law for slow viscous flow past a stationary array of bubbles",

abstract = "We examine slow viscous flow past a concentrated bed of small stationary viscous bubbles of a second fluid, and derive Darcy{\textquoteright}s law relating the average fluid velocity to the overall pressure gradient and body force.",

author = "Robert Lipton and Marco Avellaneda",

note = "Funding Information: Robert Lipton was supported by the U.S. Army Research Mathematical Sciences Institute of Cornell University. Copyright: Copyright 2016 Elsevier B.V., All rights reserved.",

year = "1990",

doi = "10.1017/S0308210500024276",

language = "English (US)",

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Darcy’s law for slow viscous flow past a stationary array of bubbles

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