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Similarity solutions for strong shocks in an ideal gas

DSpace at IIT Bombay

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Field Value
 
Title Similarity solutions for strong shocks in an ideal gas
 
Creator SHARMA, VD
ARORA, R
 
Subject converging shocks
relaxing gas
waves
 
Description The method of Lie group invariance is used to obtain a class of self-similar solutions to the problem of shocks in an inhomogeneous gaseous medium and to characterize analytically the state-dependent form of the medium ahead for which the problem is invariant and admits self-similar solutions. Different cases of possible solutions, known in the literature, with a power law, exponential, or logarithmic shock paths are recovered as special cases depending on the arbitrary constants occurring in the expression for the generators of the transformation. Particular cases of plane rising shocks in an exponential medium and collapse of an imploding shock are worked out in detail. Numerical calculations have been performed to obtain the similarity exponents and the profiles of the flow variables, and comparison is made with the known results.
 
Publisher BLACKWELL PUBLISHERS
 
Date 2011-07-19T02:45:52Z
2011-12-26T12:50:57Z
2011-12-27T05:37:13Z
2011-07-19T02:45:52Z
2011-12-26T12:50:57Z
2011-12-27T05:37:13Z
2005
 
Type Article
 
Identifier STUDIES IN APPLIED MATHEMATICS, 114(4), 375-394
0022-2526
http://dx.doi.org/10.1111/j.0022-2526.2005.01557.x
http://dspace.library.iitb.ac.in/xmlui/handle/10054/5151
http://hdl.handle.net/10054/5151
 
Language en