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Please use this identifier to cite or link to this item: http://dspace.library.iitb.ac.in/jspui/handle/10054/7219

Title: Symmetry groups and similarity solutions for the system of equations for a viscous compressible fluid
Authors: PANDEY, M
PANDEY, BD
SHARMA, VD
Keywords: lie group-analysis
substitution principles
strong shocks
gas
Issue Date: 2009
Publisher: ELSEVIER SCIENCE INC
Citation: APPLIED MATHEMATICS AND COMPUTATION, 215(2), 681-685
Abstract: 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
URI: 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
ISSN: 0096-3003
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