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Propagation of strong converging shock waves in a gas of variable density

DSpace at IIT Bombay

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Title Propagation of strong converging shock waves in a gas of variable density
 
Creator MADHUMITA, G
SHARMA, VD
 
Subject asymptotics
implosion
perturbation
self-similar solution
shock wave
 
Description The problem of a strong converging spherical (or cylindrical) shock collapsing at the centre ( or axis) of symmetry is extended to take into account the inhomogeneity of a gaseous medium, the density of which is decreasing towards the centre (or axis) according to a power law. The perturbative approach used in this paper provides a global solution to the implosion problem yielding accurately the results of Guderley's similarity solution, which is valid only in the vicinity of the center/axis of implosion. The analysis yields refined values of the leading similarity parameter along with higher-order terms in Guderley's asymptotic solution near the center/axis of convergence. Computations of the flow field and shock trajectory in the region extending from the piston to the center/axis of collapse have been performed for different values of the adiabatic coefficient and the ambient density exponent.
 
Publisher KLUWER ACADEMIC PUBL
 
Date 2011-08-17T07:50:49Z
2011-12-26T12:55:26Z
2011-12-27T05:40:07Z
2011-08-17T07:50:49Z
2011-12-26T12:55:26Z
2011-12-27T05:40:07Z
2003
 
Type Article
 
Identifier JOURNAL OF ENGINEERING MATHEMATICS, 46(1), 55-68
0022-0833
http://dx.doi.org/10.1023/A:1022816118817
http://dspace.library.iitb.ac.in/xmlui/handle/10054/9800
http://hdl.handle.net/10054/9800
 
Language en