Convergence of strong shock waves in non-ideal magnetogasdynamics
The problem of a strong cylindrical shock wave collapsing at the axis of symmetry is studied in non-ideal magnetogasdynamics. The perturbation approach used in this work provides a global solution to the shock implosion problem in non-ideal magnetogasdynamics in contrast to Guderley’s asymptotic sol...
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Veröffentlicht in: | Physics of fluids (1994) 2018-11, Vol.30 (11) |
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creator | Chauhan, Antim Arora, Rajan Tomar, Amit |
description | The problem of a strong cylindrical shock wave collapsing at the axis of symmetry is studied in non-ideal magnetogasdynamics. The perturbation approach used in this work provides a global solution to the shock implosion problem in non-ideal magnetogasdynamics in contrast to Guderley’s asymptotic solution that holds in the vicinity of the axis of implosion. We analyze the flow parameters by expanding the solution in powers of time and found the similarity exponents as well as the corresponding amplitudes in the vicinity of the shock-collapse. Along with the higher-order terms in Guderley’s asymptotic solution, the leading similarity exponents have been refined near the center of convergence. The flow parameters and the shock trajectory have been drawn in the region extending from the piston to the center of collapse for different values of the adiabatic coefficient, shock cowling number, and non-ideal parameter. |
doi_str_mv | 10.1063/1.5051589 |
format | Article |
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The perturbation approach used in this work provides a global solution to the shock implosion problem in non-ideal magnetogasdynamics in contrast to Guderley’s asymptotic solution that holds in the vicinity of the axis of implosion. We analyze the flow parameters by expanding the solution in powers of time and found the similarity exponents as well as the corresponding amplitudes in the vicinity of the shock-collapse. Along with the higher-order terms in Guderley’s asymptotic solution, the leading similarity exponents have been refined near the center of convergence. The flow parameters and the shock trajectory have been drawn in the region extending from the piston to the center of collapse for different values of the adiabatic coefficient, shock cowling number, and non-ideal parameter.</description><identifier>ISSN: 1070-6631</identifier><identifier>EISSN: 1089-7666</identifier><identifier>DOI: 10.1063/1.5051589</identifier><identifier>CODEN: PHFLE6</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Asymptotic methods ; Convergence ; Cowlings ; Cylindrical waves ; Exponents ; Fluid dynamics ; Parameters ; Physics ; Shock waves ; Similarity</subject><ispartof>Physics of fluids (1994), 2018-11, Vol.30 (11)</ispartof><rights>Author(s)</rights><rights>2018 Author(s). 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The perturbation approach used in this work provides a global solution to the shock implosion problem in non-ideal magnetogasdynamics in contrast to Guderley’s asymptotic solution that holds in the vicinity of the axis of implosion. We analyze the flow parameters by expanding the solution in powers of time and found the similarity exponents as well as the corresponding amplitudes in the vicinity of the shock-collapse. Along with the higher-order terms in Guderley’s asymptotic solution, the leading similarity exponents have been refined near the center of convergence. The flow parameters and the shock trajectory have been drawn in the region extending from the piston to the center of collapse for different values of the adiabatic coefficient, shock cowling number, and non-ideal parameter.</description><subject>Asymptotic methods</subject><subject>Convergence</subject><subject>Cowlings</subject><subject>Cylindrical waves</subject><subject>Exponents</subject><subject>Fluid dynamics</subject><subject>Parameters</subject><subject>Physics</subject><subject>Shock waves</subject><subject>Similarity</subject><issn>1070-6631</issn><issn>1089-7666</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp90MFKAzEQBuAgCtbqwTcIeFLYOkmaZHMsxapQ8KLnkM0m69Y2qcm20rd3S4seBC8zc_j4B36ErgmMCAh2T0YcOOGlOkEDAqUqpBDidH9LKIRg5Bxd5LwAAKaoGKDJNIatS40L1uHoce5SDA3O79F-4C-zdRm3AYcYirZ2ZolXpgmui43J9S6YVWvzJTrzZpnd1XEP0dvs4XX6VMxfHp-nk3lhGZVdIaVUxArHjaoBqOcVEYxVFSO-YowL0U9FawHOVwqYc4pKoJKY8RjU2BA2RDeH3HWKnxuXO72ImxT6l5oSxmUJoix7dXtQNsWck_N6ndqVSTtNQO8b0kQfG-rt3cFm23ama2P4wduYfqFe1_4__Df5GwK7csw</recordid><startdate>201811</startdate><enddate>201811</enddate><creator>Chauhan, Antim</creator><creator>Arora, Rajan</creator><creator>Tomar, Amit</creator><general>American Institute of Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>201811</creationdate><title>Convergence of strong shock waves in non-ideal magnetogasdynamics</title><author>Chauhan, Antim ; Arora, Rajan ; Tomar, Amit</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c327t-77791c6e5a9d002f5b1633bb31fb33566b3392d60efb903ee9270271a44094a13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Asymptotic methods</topic><topic>Convergence</topic><topic>Cowlings</topic><topic>Cylindrical waves</topic><topic>Exponents</topic><topic>Fluid dynamics</topic><topic>Parameters</topic><topic>Physics</topic><topic>Shock waves</topic><topic>Similarity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Chauhan, Antim</creatorcontrib><creatorcontrib>Arora, Rajan</creatorcontrib><creatorcontrib>Tomar, Amit</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physics of fluids (1994)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Chauhan, Antim</au><au>Arora, Rajan</au><au>Tomar, Amit</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Convergence of strong shock waves in non-ideal magnetogasdynamics</atitle><jtitle>Physics of fluids (1994)</jtitle><date>2018-11</date><risdate>2018</risdate><volume>30</volume><issue>11</issue><issn>1070-6631</issn><eissn>1089-7666</eissn><coden>PHFLE6</coden><abstract>The problem of a strong cylindrical shock wave collapsing at the axis of symmetry is studied in non-ideal magnetogasdynamics. The perturbation approach used in this work provides a global solution to the shock implosion problem in non-ideal magnetogasdynamics in contrast to Guderley’s asymptotic solution that holds in the vicinity of the axis of implosion. We analyze the flow parameters by expanding the solution in powers of time and found the similarity exponents as well as the corresponding amplitudes in the vicinity of the shock-collapse. Along with the higher-order terms in Guderley’s asymptotic solution, the leading similarity exponents have been refined near the center of convergence. The flow parameters and the shock trajectory have been drawn in the region extending from the piston to the center of collapse for different values of the adiabatic coefficient, shock cowling number, and non-ideal parameter.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/1.5051589</doi><tpages>10</tpages></addata></record> |
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subjects | Asymptotic methods Convergence Cowlings Cylindrical waves Exponents Fluid dynamics Parameters Physics Shock waves Similarity |
title | Convergence of strong shock waves in non-ideal magnetogasdynamics |
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