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- Title
Stokes flow through a two-dimensional channel with a linear expansion.
- Authors
Luca, Elena; Smith, Stefan G Llewellyn
- 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.
- Subjects
STOKES flow; MATHEMATICAL analysis; BOUNDARY value problems; NUMERICAL analysis; CRYSTAL structure
- Publication
Quarterly Journal of Mechanics & Applied Mathematics, 2018, Vol 71, Issue 4, p441
- ISSN
0033-5614
- Publication type
Article
- DOI
10.1093/qjmam/hby013