General solution for two-dimensional corner flows under Darcy's law

Yu A. Semenov, L. J. Cummings

Research output: Contribution to journalArticlepeer-review


We consider two-dimensional Darcy flow of a viscous incompressible fluid with a free boundary in a corner between two non-parallel walls. The complex potential of the flow constructed in an auxiliary parameter domain admits a general form for the flow generated by a source/sink at the corner vertex or at infinity, We present a method used to construct the flow potential, and obtain an integral equation for the velocity modulus on the free boundary. We discuss a possible numerical procedure to solve this integral equation, and present sample numerical results concerning the initial shape of the free boundary and its time evolution.

Original languageEnglish (US)
Pages (from-to)420-438
Number of pages19
JournalInternational Journal of Fluid Mechanics Research
Issue number4
StatePublished - 2005
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • General Physics and Astronomy


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