Nonlinear wave propagation in a two-dimensional steady transonic flow

Phoolan Prasad, E. V. Krishnan

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


When we look at photographs of real transonic flows which are predicted to be shockless, we find a very large number of weak shocks almost perpendicular to the streamlines. These are no more than almost-trapped upstream-propagating nonlinear waves. In this paper we try 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. We first give a brief discussion of a few results which can be easily obtained from the solution of the approximate equation and then compute the history of two nonlinear pulses by numerically integrating the equation.

Original languageEnglish
Pages (from-to)17-28
Number of pages12
JournalJournal of Fluid Mechanics
Issue number1
Publication statusPublished - Aug 1977

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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