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

Authors

Robert Lipton, University of California, Berkeley
Marco Avellaneda, Courant Institute of Mathematical Sciences

Document Type

Article

Publication Date

1-1-1990

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. © 1990, Royal Society of Edinburgh. All rights reserved.

Publication Source (Journal or Book title)

Proceedings of the Royal Society of Edinburgh: Section A Mathematics

First Page

71

Last Page

79

Recommended Citation

Lipton, R., & Avellaneda, M. (1990). Darcy’s law for slow viscous flow past a stationary array of bubbles. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 114 (1-2), 71-79. https://doi.org/10.1017/S0308210500024276