High order asymptotic solution of planar contraction flow with a slip boundary condition

Pan Yang, Zi Xuan Yang, Ke Qin Zhu

Research output: Contribution to journalArticlepeer-review

Abstract

The creeping flow of an incompressible viscous fluid in a planar contraction channel (Jeffery-Hamel flow) is investigated using slip boundary conditions. A high order asymptotic solution is presented to describe the velocity field accurately. Results indicate that the effect of slip is strong in the region close to the sink, while it is almost negligible in the far field, and in some cases, multi-extrema and reverse values appear in the velocity profile near the sink.

Original languageEnglish (US)
Pages (from-to)251-256
Number of pages6
JournalMicrofluidics and Nanofluidics
Volume4
Issue number3
DOIs
StatePublished - Mar 1 2008

Keywords

  • Asymptotic solution
  • Incompressible flow
  • Jeffery-Hamel flow
  • Microfluidics
  • Slip boundary condition

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