Global smooth axisymmetric subsonic flows with nonzero swirl in an infinitely long axisymmetric nozzle
In this paper, we consider steady full Euler system in three-dimensional axisymmetric nozzles. The existence and uniqueness of global smooth subsonic compressible flows with nonzero swirl component are established. With the upstream shear flow conditions and the solid wall boundary conditions, we ob...
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| Veröffentlicht in: | Zeitschrift für angewandte Mathematik und Physik 2018-10, Vol.69 (5), p.1-17, Article 135 |
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| container_title | Zeitschrift für angewandte Mathematik und Physik |
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| creator | Duan, Ben Weng, Shangkun |
| description | In this paper, we consider steady full Euler system in three-dimensional axisymmetric nozzles. The existence and uniqueness of global smooth subsonic compressible flows with nonzero swirl component are established. With the upstream shear flow conditions and the solid wall boundary conditions, we obtain the asymptotic behavior and the critical mass flux. For general infinitely long axisymmetric nozzles, it is worth noting that this is a first result containing non-trivial swirl velocity. |
| doi_str_mv | 10.1007/s00033-018-1029-3 |
| format | Article |
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The existence and uniqueness of global smooth subsonic compressible flows with nonzero swirl component are established. With the upstream shear flow conditions and the solid wall boundary conditions, we obtain the asymptotic behavior and the critical mass flux. 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Angew. Math. Phys</addtitle><description>In this paper, we consider steady full Euler system in three-dimensional axisymmetric nozzles. The existence and uniqueness of global smooth subsonic compressible flows with nonzero swirl component are established. With the upstream shear flow conditions and the solid wall boundary conditions, we obtain the asymptotic behavior and the critical mass flux. For general infinitely long axisymmetric nozzles, it is worth noting that this is a first result containing non-trivial swirl velocity.</description><subject>Asymptotic properties</subject><subject>Axisymmetric flow</subject><subject>Boundary conditions</subject><subject>Compressibility</subject><subject>Critical mass</subject><subject>Engineering</subject><subject>Mathematical Methods in Physics</subject><subject>Nozzles</subject><subject>Shear flow</subject><subject>Theoretical and Applied Mechanics</subject><issn>0044-2275</issn><issn>1420-9039</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp1kE1LAzEQhoMoWKs_wFvAc3SSyX4dpWgVCl70HLZptqZkk5psqe2vN7KCePAyM4fnfQceQq453HKA6i4BACIDXjMOomF4QiZcCmANYHNKJgBSMiGq4pxcpLTJdMUBJ6Sbu7BsHU19CMM7bT9tOvS9GaLVNO2WKfh8dC7sE93bDPjgjyYGmvY2Omo9bX2enfV2MO5AXfDrvyU-HI_OXJKzrnXJXP3sKXl7fHidPbHFy_x5dr9gGnk5MFHrFRRS102LshbYaCGEKYumxEpWqI2WuhMVX4HBYikRueGyKLEseGmELnFKbsbebQwfO5MGtQm76PNLJTgvJdZZR6b4SOkYUoqmU9to-zYeFAf1rVONOlXWqb51KswZMWZSZv3axN_m_0NfT1J4YA</recordid><startdate>20181001</startdate><enddate>20181001</enddate><creator>Duan, Ben</creator><creator>Weng, Shangkun</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20181001</creationdate><title>Global smooth axisymmetric subsonic flows with nonzero swirl in an infinitely long axisymmetric nozzle</title><author>Duan, Ben ; Weng, Shangkun</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-28cd054c89a348239c222e659637473cec4cf271d0e35b4331e145636516e2c63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Asymptotic properties</topic><topic>Axisymmetric flow</topic><topic>Boundary conditions</topic><topic>Compressibility</topic><topic>Critical mass</topic><topic>Engineering</topic><topic>Mathematical Methods in Physics</topic><topic>Nozzles</topic><topic>Shear flow</topic><topic>Theoretical and Applied Mechanics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Duan, Ben</creatorcontrib><creatorcontrib>Weng, Shangkun</creatorcontrib><collection>CrossRef</collection><jtitle>Zeitschrift für angewandte Mathematik und Physik</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Duan, Ben</au><au>Weng, Shangkun</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Global smooth axisymmetric subsonic flows with nonzero swirl in an infinitely long axisymmetric nozzle</atitle><jtitle>Zeitschrift für angewandte Mathematik und Physik</jtitle><stitle>Z. Angew. Math. Phys</stitle><date>2018-10-01</date><risdate>2018</risdate><volume>69</volume><issue>5</issue><spage>1</spage><epage>17</epage><pages>1-17</pages><artnum>135</artnum><issn>0044-2275</issn><eissn>1420-9039</eissn><abstract>In this paper, we consider steady full Euler system in three-dimensional axisymmetric nozzles. The existence and uniqueness of global smooth subsonic compressible flows with nonzero swirl component are established. With the upstream shear flow conditions and the solid wall boundary conditions, we obtain the asymptotic behavior and the critical mass flux. For general infinitely long axisymmetric nozzles, it is worth noting that this is a first result containing non-trivial swirl velocity.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s00033-018-1029-3</doi><tpages>17</tpages></addata></record> |
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| source | Springer Nature - Complete Springer Journals |
| subjects | Asymptotic properties Axisymmetric flow Boundary conditions Compressibility Critical mass Engineering Mathematical Methods in Physics Nozzles Shear flow Theoretical and Applied Mechanics |
| title | Global smooth axisymmetric subsonic flows with nonzero swirl in an infinitely long axisymmetric nozzle |
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