Fluid motion inside a spinning nutating cylinder
The incompressible three-dimensional Navier–Stokes equations are solved numerically for a fluid-filled cylindrical cannister that is spinning and nutating. The motion of the cannister is characteristic of that experienced by spin-stabilized artillery projectiles. Equations for the internal fluid mot...
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Veröffentlicht in: | Journal of fluid mechanics 1985-01, Vol.150, p.121-138 |
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container_title | Journal of fluid mechanics |
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creator | Vaughn, Harold R. Oberkampf, William L. Wolfe, Walter P. |
description | The incompressible three-dimensional Navier–Stokes equations are solved numerically for a fluid-filled cylindrical cannister that is spinning and nutating. The motion of the cannister is characteristic of that experienced by spin-stabilized artillery projectiles. Equations for the internal fluid motion are derived in a non-inertial aeroballistic coordinate system. Steady-state numerical solutions are obtained by an iterative finite-difference procedure. Flow fields and liquid induced moments have been calculated for viscosities in the range of 0.9 × 104−1 × 109 cSt. The nature of the three-dimensional fluid motion inside the cylinder is discussed, and the moments generated by the fluid are explained. The calculated moments generally agree with experimental measurements. |
doi_str_mv | 10.1017/S0022112085000052 |
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The motion of the cannister is characteristic of that experienced by spin-stabilized artillery projectiles. Equations for the internal fluid motion are derived in a non-inertial aeroballistic coordinate system. Steady-state numerical solutions are obtained by an iterative finite-difference procedure. Flow fields and liquid induced moments have been calculated for viscosities in the range of 0.9 × 104−1 × 109 cSt. The nature of the three-dimensional fluid motion inside the cylinder is discussed, and the moments generated by the fluid are explained. The calculated moments generally agree with experimental measurements.</description><identifier>ISSN: 0022-1120</identifier><identifier>EISSN: 1469-7645</identifier><identifier>DOI: 10.1017/S0022112085000052</identifier><identifier>CODEN: JFLSA7</identifier><language>eng</language><publisher>Cambridge, UK: Cambridge University Press</publisher><subject>cylinders ; Exact sciences and technology ; Fluid dynamics ; fluid mechanics ; Fundamental areas of phenomenology (including applications) ; incompressible flow ; Navier Stokes equations ; numerical analysis ; Physics ; rotating bodies ; Rotational flow and vorticity ; viscosity</subject><ispartof>Journal of fluid mechanics, 1985-01, Vol.150, p.121-138</ispartof><rights>1985 Cambridge University Press</rights><rights>1986 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c448t-ab1cf91b3095559b43cae742fb7d46895e9147f9bdb48481c8103c889fbb790f3</citedby><cites>FETCH-LOGICAL-c448t-ab1cf91b3095559b43cae742fb7d46895e9147f9bdb48481c8103c889fbb790f3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.cambridge.org/core/product/identifier/S0022112085000052/type/journal_article$$EHTML$$P50$$Gcambridge$$H</linktohtml><link.rule.ids>164,314,776,780,4010,27900,27901,27902,55603</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=8445209$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Vaughn, Harold R.</creatorcontrib><creatorcontrib>Oberkampf, William L.</creatorcontrib><creatorcontrib>Wolfe, Walter P.</creatorcontrib><title>Fluid motion inside a spinning nutating cylinder</title><title>Journal of fluid mechanics</title><addtitle>J. Fluid Mech</addtitle><description>The incompressible three-dimensional Navier–Stokes equations are solved numerically for a fluid-filled cylindrical cannister that is spinning and nutating. The motion of the cannister is characteristic of that experienced by spin-stabilized artillery projectiles. Equations for the internal fluid motion are derived in a non-inertial aeroballistic coordinate system. Steady-state numerical solutions are obtained by an iterative finite-difference procedure. Flow fields and liquid induced moments have been calculated for viscosities in the range of 0.9 × 104−1 × 109 cSt. The nature of the three-dimensional fluid motion inside the cylinder is discussed, and the moments generated by the fluid are explained. The calculated moments generally agree with experimental measurements.</description><subject>cylinders</subject><subject>Exact sciences and technology</subject><subject>Fluid dynamics</subject><subject>fluid mechanics</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>incompressible flow</subject><subject>Navier Stokes equations</subject><subject>numerical analysis</subject><subject>Physics</subject><subject>rotating bodies</subject><subject>Rotational flow and vorticity</subject><subject>viscosity</subject><issn>0022-1120</issn><issn>1469-7645</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1985</creationdate><recordtype>article</recordtype><recordid>eNqNkE9LAzEQxYMoWKsfwNseRE-rSTZ_j1psFQoiVj2GJJstqdtsTXbBfnu3tPQiFOcyA-83M48HwCWCtwgifvcGIcYIYSgo7IviIzBAhMmcM0KPwWAj5xv9FJyltIAQFVDyAYDjuvNltmxa34TMh-RLl-ksrXwIPsyz0LW63Qx2XftQungOTipdJ3ex60PwPn6cjZ7y6cvkeXQ_zS0hos21QbaSyPRfKKXSkMJqxwmuDC8JE5I6iQivpCkNEUQgKxAsrBCyMoZLWBVDcLO9u4rNd-dSq5Y-WVfXOrimS4oThgkXjPXk9UESE8oLyvB_QMZI72MI0Ba0sUkpukqtol_quFYIqk3c6k_c_c7V7rhOVtdV1MH6tF8UhFAMZY_lW8yn1v3sZR2_FOMFp4pNXtUnm3zImXxQRc8XOyt6aaIv504tmi6GPvoDZn4BqwGa9g</recordid><startdate>198501</startdate><enddate>198501</enddate><creator>Vaughn, Harold R.</creator><creator>Oberkampf, William L.</creator><creator>Wolfe, Walter P.</creator><general>Cambridge University Press</general><scope>BSCLL</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope><scope>7SC</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>7TC</scope></search><sort><creationdate>198501</creationdate><title>Fluid motion inside a spinning nutating cylinder</title><author>Vaughn, Harold R. ; Oberkampf, William L. ; Wolfe, Walter P.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c448t-ab1cf91b3095559b43cae742fb7d46895e9147f9bdb48481c8103c889fbb790f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1985</creationdate><topic>cylinders</topic><topic>Exact sciences and technology</topic><topic>Fluid dynamics</topic><topic>fluid mechanics</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>incompressible flow</topic><topic>Navier Stokes equations</topic><topic>numerical analysis</topic><topic>Physics</topic><topic>rotating bodies</topic><topic>Rotational flow and vorticity</topic><topic>viscosity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Vaughn, Harold R.</creatorcontrib><creatorcontrib>Oberkampf, William L.</creatorcontrib><creatorcontrib>Wolfe, Walter P.</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><collection>Computer and Information Systems Abstracts</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><collection>Mechanical Engineering Abstracts</collection><jtitle>Journal of fluid mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Vaughn, Harold R.</au><au>Oberkampf, William L.</au><au>Wolfe, Walter P.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fluid motion inside a spinning nutating cylinder</atitle><jtitle>Journal of fluid mechanics</jtitle><addtitle>J. Fluid Mech</addtitle><date>1985-01</date><risdate>1985</risdate><volume>150</volume><spage>121</spage><epage>138</epage><pages>121-138</pages><issn>0022-1120</issn><eissn>1469-7645</eissn><coden>JFLSA7</coden><abstract>The incompressible three-dimensional Navier–Stokes equations are solved numerically for a fluid-filled cylindrical cannister that is spinning and nutating. The motion of the cannister is characteristic of that experienced by spin-stabilized artillery projectiles. Equations for the internal fluid motion are derived in a non-inertial aeroballistic coordinate system. Steady-state numerical solutions are obtained by an iterative finite-difference procedure. Flow fields and liquid induced moments have been calculated for viscosities in the range of 0.9 × 104−1 × 109 cSt. The nature of the three-dimensional fluid motion inside the cylinder is discussed, and the moments generated by the fluid are explained. The calculated moments generally agree with experimental measurements.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/S0022112085000052</doi><tpages>18</tpages></addata></record> |
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subjects | cylinders Exact sciences and technology Fluid dynamics fluid mechanics Fundamental areas of phenomenology (including applications) incompressible flow Navier Stokes equations numerical analysis Physics rotating bodies Rotational flow and vorticity viscosity |
title | Fluid motion inside a spinning nutating cylinder |
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