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KINEMATICS OF A SHOCK WAVE OF ARBITRARY STRENGTH IN A NON-IDEAL GAS

DSpace at IIT Bombay

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Title KINEMATICS OF A SHOCK WAVE OF ARBITRARY STRENGTH IN A NON-IDEAL GAS
 
Creator PANDEY, M
SHARMA, VD
 
Subject acceleration-waves
propagation
dynamics
approximate
equations
behavior
singular surface theory
non-ideal gas
shock wave
geometrical shock dynamics
 
Description Singular surface theory is used to study the evolutionary behaviour of an unsteady three-dimensional motion of a shock wave of arbitrary strength propagating through a non-ideal gas. The dynamical coupling between the shock front and the induced discontinuities behind it is investigated by considering an infinite system of transport equations governing the strength of a shock wave and the induced discontinuities behind it. This infinite system, when subjected to a truncation approximation, efficiently describes the shock motion. Disturbances propagating on the shock and the onset of shock-shocks are briefly discussed. For a two-dimensional shock motion, our transport equations bear a structural resemblance to those of geometrical shock dynamics. Attention is drawn to the connection between the transport equation obtained by rising the truncation rule and the one obtained by using the characteristic rule. The effects of van der Waals' excluded volume and wavefront geometry on the evolutionary behaviour of shocks are discussed.
 
Publisher UNIV PRESS INC
 
Date 2011-09-01T08:06:26Z
2011-12-26T12:59:33Z
2011-12-27T05:51:53Z
2011-09-01T08:06:26Z
2011-12-26T12:59:33Z
2011-12-27T05:51:53Z
2009
 
Type Article
 
Identifier QUARTERLY OF APPLIED MATHEMATICS, 67(3), 401-418
0033-569X
http://dspace.library.iitb.ac.in/xmlui/handle/10054/12716
http://hdl.handle.net/10054/12716
 
Language en