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Symmetry groups and similarity solutions for the system of equations for a viscous compressible fluid

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Title Symmetry groups and similarity solutions for the system of equations for a viscous compressible fluid
 
Creator PANDEY, M
PANDEY, BD
SHARMA, VD
 
Subject lie group-analysis
substitution principles
strong shocks
gas
similarity solutions
lie group analysis
viscous compressible fluids
exact solutions
 
Description Here, using Lie group transformations, we consider the problem of finding similarity solutions to the system of partial differential equations (PDEs) governing one-dimensional unsteady motion of a compressible fluid in the presence of viscosity and thermal conduction, using the general form of the equation of state. The symmetry groups admitted by the governing system of PDEs are obtained, and the complete Lie algebra of infinitesimal symmetries is established. Indeed, with the use of the entailed similarity solution the problem is transformed to a system of ordinary differential equations(ODEs), which in general is nonlinear; in some cases, it is possible to solve these ODEs to determine some special exact solutions. (C) 2009
 
Publisher ELSEVIER SCIENCE INC
 
Date 2011-07-27T11:59:41Z
2011-12-26T12:57:02Z
2011-12-27T05:46:44Z
2011-07-27T11:59:41Z
2011-12-26T12:57:02Z
2011-12-27T05:46:44Z
2009
 
Type Article
 
Identifier APPLIED MATHEMATICS AND COMPUTATION, 215(2), 681-685
0096-3003
http://dx.doi.org/10.1016/j.amc.2009.05.070
http://dspace.library.iitb.ac.in/xmlui/handle/10054/7219
http://hdl.handle.net/10054/7219
 
Language en