DOI: 10.1017/s0022112085003172. Stokes flow in arbitrary two-dimensional domains: shear flow over ridges and cavities

Stokes flow in arbitrary two-dimensional domains: shear flow over ridges and cavities

10.1017/s0022112085003172

Crossref journal-article

Cambridge University Press (CUP)

Journal of Fluid Mechanics (56)

Abstract

A method is described for solving the integral equations governing Stokes flow in arbitrary two-dimensional domains. It is demonstrated that the boundary-integral method provides an accurate, efficient and easy-to-implement strategy for the solution of Stokes-flow problems. Calculations are presented for simple shear flow in a variety of geometries including cylindrical and rectangular, ridges and cavities. A full description of the flow field is presented including streamline patterns, velocity profiles and shear-stress distributions along the solid surfaces. The results are discussed with special relevance to convective transport processes in low-Reynolds-number flows.

Bibliography

Higdon, J. J. L. (1985). Stokes flow in arbitrary two-dimensional domains: shear flow over ridges and cavities. Journal of Fluid Mechanics, 159, 195â226.

Authors 1

Jonathan J. L. Higdon (first)

References 30 Referenced 153

Dates

Type	When
Created	19 years, 4 months ago (April 20, 2006, 8 a.m.)
Deposited	2 months, 1 week ago (June 21, 2025, 12:30 a.m.)
Indexed	3 weeks ago (Aug. 6, 2025, 9:06 a.m.)
Issued	39 years, 10 months ago (Oct. 1, 1985)
Published	39 years, 10 months ago (Oct. 1, 1985)
Published Online	19 years, 4 months ago (April 20, 2006)
Published Print	39 years, 10 months ago (Oct. 1, 1985)

Funders 0

None

BibTeX

@article{Higdon_1985, title={Stokes flow in arbitrary two-dimensional domains: shear flow over ridges and cavities}, volume={159}, ISSN={1469-7645}, url={http://dx.doi.org/10.1017/s0022112085003172}, DOI={10.1017/s0022112085003172}, journal={Journal of Fluid Mechanics}, publisher={Cambridge University Press (CUP)}, author={Higdon, Jonathan J. L.}, year={1985}, month=oct, pages={195–226} }

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