Evolution of weak discontinuity in a van der Waals gas
In this article, the Lie symmetries analysis that leaves the system of partial differential equations (PDEs), governed by the one dimensional unsteady flow of an isentropic, inviscid and perfectly conducting compressible fluid obeying the van der Waals equation of state invariant, is presented. Usin...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2015-09-01
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| Series: | Ain Shams Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S209044791500043X |
| _version_ | 1818611382259548160 |
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| author | B. Bira T. Raja Sekhar |
| author_facet | B. Bira T. Raja Sekhar |
| author_sort | B. Bira |
| collection | DOAJ |
| description | In this article, the Lie symmetries analysis that leaves the system of partial differential equations (PDEs), governed by the one dimensional unsteady flow of an isentropic, inviscid and perfectly conducting compressible fluid obeying the van der Waals equation of state invariant, is presented. Using these symmetries the governing system of PDEs is reduced into system of ordinary differential equations (ODEs). Then the reduced system of ODEs is solved analytically which in turn produces the exact solution for the governing PDEs. Further, the influence of the van der Waals excluded volume in the behavior of evolution of weak discontinuity is studied extensively. |
| first_indexed | 2024-12-16T15:29:26Z |
| format | Article |
| id | doaj.art-d7a66370ba2b43658d92d842d64c8db6 |
| institution | Directory Open Access Journal |
| issn | 2090-4479 |
| language | English |
| last_indexed | 2024-12-16T15:29:26Z |
| publishDate | 2015-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj.art-d7a66370ba2b43658d92d842d64c8db62022-12-21T22:26:24ZengElsevierAin Shams Engineering Journal2090-44792015-09-01631129113210.1016/j.asej.2015.03.003Evolution of weak discontinuity in a van der Waals gasB. Bira0T. Raja Sekhar1Department of Mathematics, National Institute of Science and Technology, Palur Hills, Berhampur-8, IndiaDepartment of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur-2, IndiaIn this article, the Lie symmetries analysis that leaves the system of partial differential equations (PDEs), governed by the one dimensional unsteady flow of an isentropic, inviscid and perfectly conducting compressible fluid obeying the van der Waals equation of state invariant, is presented. Using these symmetries the governing system of PDEs is reduced into system of ordinary differential equations (ODEs). Then the reduced system of ODEs is solved analytically which in turn produces the exact solution for the governing PDEs. Further, the influence of the van der Waals excluded volume in the behavior of evolution of weak discontinuity is studied extensively.http://www.sciencedirect.com/science/article/pii/S209044791500043XVan der Waals gasLie symmetry analysisExact solutionWeak discontinuities |
| spellingShingle | B. Bira T. Raja Sekhar Evolution of weak discontinuity in a van der Waals gas Ain Shams Engineering Journal Van der Waals gas Lie symmetry analysis Exact solution Weak discontinuities |
| title | Evolution of weak discontinuity in a van der Waals gas |
| title_full | Evolution of weak discontinuity in a van der Waals gas |
| title_fullStr | Evolution of weak discontinuity in a van der Waals gas |
| title_full_unstemmed | Evolution of weak discontinuity in a van der Waals gas |
| title_short | Evolution of weak discontinuity in a van der Waals gas |
| title_sort | evolution of weak discontinuity in a van der waals gas |
| topic | Van der Waals gas Lie symmetry analysis Exact solution Weak discontinuities |
| url | http://www.sciencedirect.com/science/article/pii/S209044791500043X |
| work_keys_str_mv | AT bbira evolutionofweakdiscontinuityinavanderwaalsgas AT trajasekhar evolutionofweakdiscontinuityinavanderwaalsgas |