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3-DIMENSIONAL SHOCK-WAVE PROPAGATION IN AN IDEAL-GAS

DSpace at IIT Bombay

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Title 3-DIMENSIONAL SHOCK-WAVE PROPAGATION IN AN IDEAL-GAS
 
Creator SHARMA, VD
RADHA, C
 
Description A systematic study is made of an unsteady three dimensional motion of a shock wave of arbitrary strength propagating through an ideal gas. The dynamical coupling between the shock front and the rearward flow is investigated by considering an infinite system of transport equations for the variation of jumps in pressure and its space derivatives across the shock. This infinite system is then truncated to get a closed system of coupled differential equations, which efficiently describes the shock motion. Disturbances propagating on the shock and the onset of shock-shocks are briefly discussed. In the limit of vanishing shock strength, the first order truncation approximation leads to an exact description of acceleration waves. Asymptotic decay laws for the weak shocks and rearward precursor disturbances are exactly recovered. In the strong shock limit, the first order approximation leads to a propagation law for imploding shocks, which is in agreement with the Guderley's exact similarity solution. Attention is drawn to the connection between the transport equations along shock rays obtained here and the corresponding results obtained from an alternative method, using the theory of generalized functions.
 
Publisher PERGAMON-ELSEVIER SCIENCE LTD
 
Date 2011-08-22T08:56:48Z
2011-12-26T12:56:17Z
2011-12-27T05:44:44Z
2011-08-22T08:56:48Z
2011-12-26T12:56:17Z
2011-12-27T05:44:44Z
1995
 
Type Article
 
Identifier INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 30(3), 305-322
0020-7462
http://dx.doi.org/10.1016/0020-7462(95)00005-9
http://dspace.library.iitb.ac.in/xmlui/handle/10054/10382
http://hdl.handle.net/10054/10382
 
Language en