Lie-group theoretic method for analyzing interaction of discontinuous waves in a relaxing gas |
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Authors: | J Jena |
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Institution: | (1) Department of Mathematics, Netaji Subhas Institute of Technology, Sector-3, Dwarka, New Delhi, 110 045, India |
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Abstract: | A Lie group of transformations method is used to establish self-similar solutions to the problem of shock wave propagation
through a relaxing gas and its interaction with the weak discontinuity wave. The forms of the equilibrium value of the vibrational
energy and the relaxation time, varying with the density and pressure are determined for which the system admits self-similar
solutions. A particular solution to the problem has been found out and used to study the effects of specific heat ratio and
ambient density exponent on the flow parameters. The coefficients of amplitudes of reflected and transmitted waves after the
interaction are determined. |
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Keywords: | 35L40 35L67 76L05 |
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