### 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 language | English |
---|---|

Pages (from-to) | 17-28 |

Number of pages | 12 |

Journal | Journal of Fluid Mechanics |

Volume | 82 |

Issue number | pt 1 |

Publication status | Published - Jan 1 1977 |

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### ASJC Scopus subject areas

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

### Cite this

*Journal of Fluid Mechanics*,

*82*(pt 1), 17-28.

**NONLINEAR WAVE PROPAGATION IN A TWO-DIMENSIONAL STEADY TRANSONIC FLOW.** / Prasad, Phoolan; Krishnan, E. V.

Research output: Contribution to journal › Article

*Journal of Fluid Mechanics*, vol. 82, no. pt 1, pp. 17-28.

}

TY - JOUR

T1 - NONLINEAR WAVE PROPAGATION IN A TWO-DIMENSIONAL STEADY TRANSONIC FLOW.

AU - Prasad, Phoolan

AU - Krishnan, E. V.

PY - 1977/1/1

Y1 - 1977/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0017526435&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0017526435&partnerID=8YFLogxK

M3 - Article

VL - 82

SP - 17

EP - 28

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

SN - 0022-1120

IS - pt 1

ER -