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PROPAGATION AND INTERACTION OF WAVES IN A RELAXING GAS

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Title PROPAGATION AND INTERACTION OF WAVES IN A RELAXING GAS
 
Creator RADHA, C
SHARMA, VD
 
Subject nonlinear hyperbolic waves
exploding atmosphere
variables
pulses
 
Description Propagation of disturbances through a uniform region of a relaxing gas in a duct with spatially varying cross section is analysed using the methods of relatively undistorted waves and weakly nonlinear geometrical optics. Particular attention is focused on situations when the disturbance amplitude is finite, arbitrarily small and not so small. In certain situations a complete history of the evolutionary behaviour of waves including weak shocks can be traced out. The asymptotic decay laws for weak shocks in a non-relaxing gas are exactly recovered. The damping effects of relaxation and non-planar wavefront configurations on the distortion, attenuation and shock formation of pulses, as they propagate, are described in detail. In the small-amplitude high-frequency limit, a solution up to the second order is obtained and numerical computations are carried out for typical values of the physical parameters involved in the solution. Transport equations are derived for signals having all possible wave modes which are mutually coupled and interact resonantly among themselves. The progressive wave approach describes the far field behaviour which is governed by the generalized Burger's equation.
 
Publisher ROYAL SOC LONDON
 
Date 2011-08-29T00:18:40Z
2011-12-26T12:58:16Z
2011-12-27T05:47:54Z
2011-08-29T00:18:40Z
2011-12-26T12:58:16Z
2011-12-27T05:47:54Z
1995
 
Type Article
 
Identifier PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 352(1698), 169-195
0962-8428
http://dx.doi.org/10.1098/rsta.1995.0062
http://dspace.library.iitb.ac.in/xmlui/handle/10054/11880
http://hdl.handle.net/10054/11880
 
Language en