Propagation of quasi-simple waves in a compressible rotating atmosphere
Data(s) |
1991
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Resumo |
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. |
Formato |
application/pdf |
Identificador |
http://eprints.iisc.ernet.in/34055/1/Propagation_of_quasi-simple_waves.pdf 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. |
Publicador |
Springer |
Relação |
http://www.springerlink.com/content/p87w5728284rm253/ http://eprints.iisc.ernet.in/34055/ |
Palavras-Chave | #Mathematics |
Tipo |
Journal Article PeerReviewed |