NONLINEAR WAVE PROPAGATION IN A TWO-DIMENSIONAL STEADY TRANSONIC FLOW.

Phoolan Prasad, E. V. Krishnan

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Photographs of real transonic flows which are predicted to be shockless indicate a very large number of weak shocks almost perpendicular to the streamlines. These are no more than almost-trapped upstream-propagating nonlinear waves. The paper tries to obtain a simple approximate equation which gives their complete history and takes into account both their turning effect, owing to a non-zero gradient of the fluid velocity in a direction normal to the streamlines, and also the finite radius of curvature of the wave front. A brief discussion is given of a few results which can be easily obtained from the solution of the approximate equation, then the history of two nonlinear pulses is computed by numerically integrating the equation.

Original languageEnglish
Pages (from-to)17-28
Number of pages12
JournalJournal of Fluid Mechanics
Volume82
Issue numberpt 1
Publication statusPublished - Jan 1 1977

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Condensed Matter Physics

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