Coronavirus Information for the UC San Diego Community

Our leaders are working closely with federal and state officials to ensure your ongoing safety at the university. Stay up to date with the latest developments. Learn more.

Stokes flow through a two-dimensional channel with a linear expansion

TitleStokes flow through a two-dimensional channel with a linear expansion
Publication TypeJournal Article
Year of Publication2018
AuthorsLuca E., Smith SGL
JournalQuarterly Journal of Mechanics and Applied Mathematics
Volume71
Pagination441-462
Date Published2018/11
Type of ArticleArticle
ISBN Number0033-5614
Accession NumberWOS:000454979200004
Keywordsequation; Mathematics; mechanics; slow viscous-flow; transform method
Abstract

Motivated by various applications in microfluidics, we consider low-Reynolds-number flow in a two-dimensional channel with different widths in the upstream and downstream directions. The channel geometry consists of a polygonal domain with angled edges at transition points. The polygonal nature of the geometry makes it amenable to analysis via the Unified Transform Method, providing quasi-analytical solutions which can be used to compute all the physical quantities of interest. We compute the pressure drop between the ends of the expansion or constriction region as a function of the channel width ratio and the orientation of the angled edges and compare our results to extended lubrication theory.

DOI10.1093/qjmam/hby013
Short TitleQ. J. Mech. Appl. Math.
Student Publication: 
No
sharknado