Strong point explosion in vibrationally exciting gas
For problems with strong shock waves a modification of the Landau–Teller equation in the system of two-temperature gas dynamics is proposed. This allows for extending the admitted Lie algebra of the system by the generator of simultaneous scaling of the independent variables. On this basis a class o...
Gespeichert in:
| Veröffentlicht in: | International journal of non-linear mechanics 2021-01, Vol.128, p.103615, Article 103615 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | 103615 |
| container_title | International journal of non-linear mechanics |
| container_volume | 128 |
| creator | Siriwat, P. Grigoriev, Yu.N. Meleshko, S.V. |
| description | For problems with strong shock waves a modification of the Landau–Teller equation in the system of two-temperature gas dynamics is proposed. This allows for extending the admitted Lie algebra of the system by the generator of simultaneous scaling of the independent variables. On this basis a class of self-similar solutions of the one-dimensional unsteady flows of a vibrationally excited gas is obtained. Using the problem of a strong point explosion as an example, it is shown that the modified system gives a physically consistent solution, correctly reproducing the well-known effect of the divergence of static and vibrational temperatures behind the wave front.
•A modification of the characteristic relaxation time in the two-temperature gas dynamics is proposed.•A class of self-similar solutions for one-dimensional unsteady flows of a vibrationally excited gas was obtained.•Generalization of the point strong explosion is found. |
| doi_str_mv | 10.1016/j.ijnonlinmec.2020.103615 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2477708799</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0020746220302778</els_id><sourcerecordid>2477708799</sourcerecordid><originalsourceid>FETCH-LOGICAL-c293t-59e92dd28a517cf9358777deebce84aa8c058a8481c10771dd81df11904ee67e3</originalsourceid><addsrcrecordid>eNqNkE1LAzEQhoMoWKv_YcXz1iT7keQoxS8oeFDPIU1mS5ZtsiZpsf_eLOvBo6dhZt73ZeZB6JbgFcGkve9XtnfeDdbtQa8optO8aklzhhaEM142bcXP0QLnTcnqll6iqxh7nL01ZgtUv6fg3a4YvXWpgO9x8NF6V1hXHO02qJQbNQynvNI22azcqXiNLjo1RLj5rUv0-fT4sX4pN2_Pr-uHTampqFLZCBDUGMpVQ5juRNVwxpgB2GrgtVJc44YrXnOiCWaMGMOJ6QgRuAZoGVRLdDfnjsF_HSAm2ftDyPdESeschTkTIqvErNLBxxigk2OwexVOkmA5QZK9_ANJTpDkDCl717MX8htHC0FGbcFpMDaATtJ4-4-UH85Tde8</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2477708799</pqid></control><display><type>article</type><title>Strong point explosion in vibrationally exciting gas</title><source>Elsevier ScienceDirect Journals</source><creator>Siriwat, P. ; Grigoriev, Yu.N. ; Meleshko, S.V.</creator><creatorcontrib>Siriwat, P. ; Grigoriev, Yu.N. ; Meleshko, S.V.</creatorcontrib><description>For problems with strong shock waves a modification of the Landau–Teller equation in the system of two-temperature gas dynamics is proposed. This allows for extending the admitted Lie algebra of the system by the generator of simultaneous scaling of the independent variables. On this basis a class of self-similar solutions of the one-dimensional unsteady flows of a vibrationally excited gas is obtained. Using the problem of a strong point explosion as an example, it is shown that the modified system gives a physically consistent solution, correctly reproducing the well-known effect of the divergence of static and vibrational temperatures behind the wave front.
•A modification of the characteristic relaxation time in the two-temperature gas dynamics is proposed.•A class of self-similar solutions for one-dimensional unsteady flows of a vibrationally excited gas was obtained.•Generalization of the point strong explosion is found.</description><identifier>ISSN: 0020-7462</identifier><identifier>EISSN: 1878-5638</identifier><identifier>DOI: 10.1016/j.ijnonlinmec.2020.103615</identifier><language>eng</language><publisher>New York: Elsevier Ltd</publisher><subject>Gas dynamics ; Gas dynamics equations ; Independent variables ; Landau–Teller equation ; Lie groups ; Mathematical analysis ; Self-similar solution ; Self-similarity ; Shock waves ; Strong point explosion ; Unsteady flow ; Wave fronts</subject><ispartof>International journal of non-linear mechanics, 2021-01, Vol.128, p.103615, Article 103615</ispartof><rights>2020 Elsevier Ltd</rights><rights>Copyright Elsevier BV Jan 2021</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c293t-59e92dd28a517cf9358777deebce84aa8c058a8481c10771dd81df11904ee67e3</cites><orcidid>0000-0002-3205-5650</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0020746220302778$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids></links><search><creatorcontrib>Siriwat, P.</creatorcontrib><creatorcontrib>Grigoriev, Yu.N.</creatorcontrib><creatorcontrib>Meleshko, S.V.</creatorcontrib><title>Strong point explosion in vibrationally exciting gas</title><title>International journal of non-linear mechanics</title><description>For problems with strong shock waves a modification of the Landau–Teller equation in the system of two-temperature gas dynamics is proposed. This allows for extending the admitted Lie algebra of the system by the generator of simultaneous scaling of the independent variables. On this basis a class of self-similar solutions of the one-dimensional unsteady flows of a vibrationally excited gas is obtained. Using the problem of a strong point explosion as an example, it is shown that the modified system gives a physically consistent solution, correctly reproducing the well-known effect of the divergence of static and vibrational temperatures behind the wave front.
•A modification of the characteristic relaxation time in the two-temperature gas dynamics is proposed.•A class of self-similar solutions for one-dimensional unsteady flows of a vibrationally excited gas was obtained.•Generalization of the point strong explosion is found.</description><subject>Gas dynamics</subject><subject>Gas dynamics equations</subject><subject>Independent variables</subject><subject>Landau–Teller equation</subject><subject>Lie groups</subject><subject>Mathematical analysis</subject><subject>Self-similar solution</subject><subject>Self-similarity</subject><subject>Shock waves</subject><subject>Strong point explosion</subject><subject>Unsteady flow</subject><subject>Wave fronts</subject><issn>0020-7462</issn><issn>1878-5638</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNqNkE1LAzEQhoMoWKv_YcXz1iT7keQoxS8oeFDPIU1mS5ZtsiZpsf_eLOvBo6dhZt73ZeZB6JbgFcGkve9XtnfeDdbtQa8optO8aklzhhaEM142bcXP0QLnTcnqll6iqxh7nL01ZgtUv6fg3a4YvXWpgO9x8NF6V1hXHO02qJQbNQynvNI22azcqXiNLjo1RLj5rUv0-fT4sX4pN2_Pr-uHTampqFLZCBDUGMpVQ5juRNVwxpgB2GrgtVJc44YrXnOiCWaMGMOJ6QgRuAZoGVRLdDfnjsF_HSAm2ftDyPdESeschTkTIqvErNLBxxigk2OwexVOkmA5QZK9_ANJTpDkDCl717MX8htHC0FGbcFpMDaATtJ4-4-UH85Tde8</recordid><startdate>202101</startdate><enddate>202101</enddate><creator>Siriwat, P.</creator><creator>Grigoriev, Yu.N.</creator><creator>Meleshko, S.V.</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0002-3205-5650</orcidid></search><sort><creationdate>202101</creationdate><title>Strong point explosion in vibrationally exciting gas</title><author>Siriwat, P. ; Grigoriev, Yu.N. ; Meleshko, S.V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c293t-59e92dd28a517cf9358777deebce84aa8c058a8481c10771dd81df11904ee67e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Gas dynamics</topic><topic>Gas dynamics equations</topic><topic>Independent variables</topic><topic>Landau–Teller equation</topic><topic>Lie groups</topic><topic>Mathematical analysis</topic><topic>Self-similar solution</topic><topic>Self-similarity</topic><topic>Shock waves</topic><topic>Strong point explosion</topic><topic>Unsteady flow</topic><topic>Wave fronts</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Siriwat, P.</creatorcontrib><creatorcontrib>Grigoriev, Yu.N.</creatorcontrib><creatorcontrib>Meleshko, S.V.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>International journal of non-linear mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Siriwat, P.</au><au>Grigoriev, Yu.N.</au><au>Meleshko, S.V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Strong point explosion in vibrationally exciting gas</atitle><jtitle>International journal of non-linear mechanics</jtitle><date>2021-01</date><risdate>2021</risdate><volume>128</volume><spage>103615</spage><pages>103615-</pages><artnum>103615</artnum><issn>0020-7462</issn><eissn>1878-5638</eissn><abstract>For problems with strong shock waves a modification of the Landau–Teller equation in the system of two-temperature gas dynamics is proposed. This allows for extending the admitted Lie algebra of the system by the generator of simultaneous scaling of the independent variables. On this basis a class of self-similar solutions of the one-dimensional unsteady flows of a vibrationally excited gas is obtained. Using the problem of a strong point explosion as an example, it is shown that the modified system gives a physically consistent solution, correctly reproducing the well-known effect of the divergence of static and vibrational temperatures behind the wave front.
•A modification of the characteristic relaxation time in the two-temperature gas dynamics is proposed.•A class of self-similar solutions for one-dimensional unsteady flows of a vibrationally excited gas was obtained.•Generalization of the point strong explosion is found.</abstract><cop>New York</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.ijnonlinmec.2020.103615</doi><orcidid>https://orcid.org/0000-0002-3205-5650</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0020-7462 |
| ispartof | International journal of non-linear mechanics, 2021-01, Vol.128, p.103615, Article 103615 |
| issn | 0020-7462 1878-5638 |
| language | eng |
| recordid | cdi_proquest_journals_2477708799 |
| source | Elsevier ScienceDirect Journals |
| subjects | Gas dynamics Gas dynamics equations Independent variables Landau–Teller equation Lie groups Mathematical analysis Self-similar solution Self-similarity Shock waves Strong point explosion Unsteady flow Wave fronts |
| title | Strong point explosion in vibrationally exciting gas |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-28T14%3A41%3A47IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Strong%20point%20explosion%20in%20vibrationally%20exciting%20gas&rft.jtitle=International%20journal%20of%20non-linear%20mechanics&rft.au=Siriwat,%20P.&rft.date=2021-01&rft.volume=128&rft.spage=103615&rft.pages=103615-&rft.artnum=103615&rft.issn=0020-7462&rft.eissn=1878-5638&rft_id=info:doi/10.1016/j.ijnonlinmec.2020.103615&rft_dat=%3Cproquest_cross%3E2477708799%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2477708799&rft_id=info:pmid/&rft_els_id=S0020746220302778&rfr_iscdi=true |