Flow around an unsteady thin wing close to curved ground

Qian Xi Wang*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The method of matched asymptotic expansions is applied to the flow analysis ofa three-dimensional thin wing, moving uniformly in very close proximity to a curved ground surface. Four flow regions, i.e. exterior, bow, gap, and wake, are analysed and matched in an appropriate sequence. The solutions in expansions up to third order are given both in nonlinear and linear cases. It is shown that the flow above the wing is redued to a direct problem, and the flow beneath it appears to be a two-dimensional channel flow. The wake assumes a vortex-sheet structure close to the curved ground, undulatingwith the amplitude of the ground curvature, and the flow beneath it is also two-dimensional channel flow. As a consequence, an equivalence is found between the extreme curved-ground effect and the corresponding flat-ground effect, which can be treated by the image method.

Original languageEnglish
Pages (from-to)175-187
Number of pages13
JournalJournal of Fluid Mechanics
Volume226
DOIs
Publication statusPublished - May 1991

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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