The steady boundary layer due to a fast vortex

Andrew J. Bernoff, Harald J.H.M. Van Dongen, Seth Lichter*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

A point vortex located above and convected parallel to a wall is an important model of the process by which a boundary layer becomes unstable due to external disturbances. Often it has been assumed that the boundary layer due to the passage of the vortex is inherently unsteady. Here we show that for a vortex convected by a uniform shear flow, there is a steady solution when the speed of the vortex cv is sufficiently fast. The existence of the steady solution is demonstrated analytically in the limit of large vortex velocity (cv→∞) and numerically at more moderate speeds. This solution may provide a useful base state about which to investigate the stability of a boundary layer induced by external disturbances.

Original languageEnglish (US)
Pages (from-to)156-162
Number of pages7
JournalPhysics of Fluids
Volume8
Issue number1
DOIs
StatePublished - 1996

ASJC Scopus subject areas

  • Computational Mechanics
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Fingerprint Dive into the research topics of 'The steady boundary layer due to a fast vortex'. Together they form a unique fingerprint.

Cite this