Venkatachalappa, M and Rudraiah, N and Sachdev, PL
(1991)
*Propagation of quasi-simple waves in a compressible rotating atmosphere.*
In: Acta Mechanica, 88
(3-4).
pp. 153-166.

PDF
Propagation_of_quasi-simple_waves.pdf - Published Version Restricted to Registered users only Download (660kB) | Request a copy |

## Abstract

A class of self-propagating linear and nonlinear travelling wave solutions for compressible rotating fluid is studied using both numerical and analytical techiques. It is shown that, in general, a three dimensional linear wave is not periodic. However, for some range of wave numbers depending on rotation, horizontally propagating waves are periodic. When the rotation ohgr is equal to $$\sqrt {(\gamma - 1)/(4\gamma )}$$ , all horizontal waves are periodic. Here, gamma is the ratio of specific heats. The analytical study is based on phase space analysis. It reveals that the quasi-simple waves are periodic only in some plane, even when the propagation is horizontal, in contrast to the case of non-rotating flows for which there is a single parameter family of periodic solutions provided the waves propagate horizontally. A classification of the singular points of the governing differential equations for quasi-simple waves is also appended.

Item Type: | Journal Article |
---|---|

Additional Information: | Copyright of this article belongs to Springer. |

Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |

Depositing User: | Ms Mary Ranjeetha |

Date Deposited: | 26 Nov 2010 09:33 |

Last Modified: | 26 Nov 2010 09:33 |

URI: | http://eprints.iisc.ac.in/id/eprint/34055 |

### Actions (login required)

View Item |