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Journal of Porous Media
IF: 1.752 5-Year IF: 1.487 SJR: 0.43 SNIP: 0.762 CiteScore™: 2.3

ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v18.i4.80
pages 457-461

DARCY FLOW THROUGH BUMPY TUBES

C. Y. Wang
Department of Mathematics and Mechanical Engineering, Michigan State University, East Lansing, Michigan 48824, USA
L. H. Yu
Department of Mathematics, National Chung Cheng University, Chiayi, Taiwan

ABSTRACT

The Darcy flow in a tube with three-dimensional wall roughness is studied. Three types of bumps or roughness geometry are considered. The problem is solved by the perturbation method, assuming the amplitude of the bumps is small compared to the mean tube radius. For a given mean pressure gradient in a tube of given mean radius, the flow rate may increase or decrease depending on the roughness geometry.

KEY WORDS: Darcy, roughness, bumpy, tube

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