Water hammer with fluid–structure interaction in thick-walled pipes
A one-dimensional mathematical model is presented which describes the acoustic behaviour of thick-walled liquid-filled pipes. The model is based on conventional water-hammer and beam theories. Fluid–structure interaction (FSI) is taken into account. The equations governing straight pipes are derived...
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Veröffentlicht in: | Computers & structures 2007-06, Vol.85 (11), p.844-851 |
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description | A one-dimensional mathematical model is presented which describes the acoustic behaviour of thick-walled liquid-filled pipes. The model is based on conventional water-hammer and beam theories. Fluid–structure interaction (FSI) is taken into account. The equations governing straight pipes are derived by the cross-sectional integration of axisymmetric two-dimensional basic equations. The resulting FSI four-equation model has small correction terms and factors accounting for the wall thickness. Exact solutions of this model show that these corrections are important only for very thick pipes, with, say, a radius/thickness ratio smaller than 2. |
doi_str_mv | 10.1016/j.compstruc.2007.01.008 |
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The model is based on conventional water-hammer and beam theories. Fluid–structure interaction (FSI) is taken into account. The equations governing straight pipes are derived by the cross-sectional integration of axisymmetric two-dimensional basic equations. The resulting FSI four-equation model has small correction terms and factors accounting for the wall thickness. Exact solutions of this model show that these corrections are important only for very thick pipes, with, say, a radius/thickness ratio smaller than 2.</description><identifier>ISSN: 0045-7949</identifier><identifier>EISSN: 1879-2243</identifier><identifier>DOI: 10.1016/j.compstruc.2007.01.008</identifier><language>eng</language><publisher>Oxford: Elsevier Ltd</publisher><subject>Applied sciences ; Compressible flows; shock and detonation phenomena ; Exact sciences and technology ; Flows in ducts, channels, nozzles, and conduits ; Fluid dynamics ; Fluid transients ; Fluid–structure interaction (FSI) ; Fundamental areas of phenomenology (including applications) ; Mechanical engineering. Machine design ; Physics ; Pipe flow ; Pipe vibration ; Pipings, valves, fittings ; Shock-wave interactions and shock effects ; Solid mechanics ; Steel design ; Structural and continuum mechanics ; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) ; Water hammer ; Wave speed</subject><ispartof>Computers & structures, 2007-06, Vol.85 (11), p.844-851</ispartof><rights>2007 Elsevier Ltd</rights><rights>2007 INIST-CNRS</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c425t-89b993a27b7cf7290dce716708d2cea87dda5f152f3147a95bd00155dbfcbea53</citedby><cites>FETCH-LOGICAL-c425t-89b993a27b7cf7290dce716708d2cea87dda5f152f3147a95bd00155dbfcbea53</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0045794907000144$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>309,310,314,776,780,785,786,3537,23909,23910,25118,27901,27902,65306</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=18842998$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Tijsseling, A.S.</creatorcontrib><title>Water hammer with fluid–structure interaction in thick-walled pipes</title><title>Computers & structures</title><description>A one-dimensional mathematical model is presented which describes the acoustic behaviour of thick-walled liquid-filled pipes. The model is based on conventional water-hammer and beam theories. Fluid–structure interaction (FSI) is taken into account. The equations governing straight pipes are derived by the cross-sectional integration of axisymmetric two-dimensional basic equations. The resulting FSI four-equation model has small correction terms and factors accounting for the wall thickness. Exact solutions of this model show that these corrections are important only for very thick pipes, with, say, a radius/thickness ratio smaller than 2.</description><subject>Applied sciences</subject><subject>Compressible flows; shock and detonation phenomena</subject><subject>Exact sciences and technology</subject><subject>Flows in ducts, channels, nozzles, and conduits</subject><subject>Fluid dynamics</subject><subject>Fluid transients</subject><subject>Fluid–structure interaction (FSI)</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Mechanical engineering. Machine design</subject><subject>Physics</subject><subject>Pipe flow</subject><subject>Pipe vibration</subject><subject>Pipings, valves, fittings</subject><subject>Shock-wave interactions and shock effects</subject><subject>Solid mechanics</subject><subject>Steel design</subject><subject>Structural and continuum mechanics</subject><subject>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</subject><subject>Water hammer</subject><subject>Wave speed</subject><issn>0045-7949</issn><issn>1879-2243</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><recordid>eNqFkLtOxDAURC0EEsvjG0gDXcK1k6ztcrXiJSHRgCgtx77ReskL2wHR8Q_8IV9ClkVQUs0tzszoDiEnFDIKdH6-zkzfDiH60WQMgGdAMwCxQ2ZUcJkyVuS7ZAZQlCmXhdwnByGsAWBeAMzIxaOO6JOVbttJXl1cJXUzOvv5_vEdGUePiesmRpvo-m66k7hy5il91U2DNhncgOGI7NW6CXj8o4fk4fLifnmd3t5d3SwXt6kpWBlTISspc814xU3NmQRrkNM5B2GZQS24tbqsacnqnBZcy7KyALQsbVWbCnWZH5Kzbe7g--cRQ1StCwabRnfYj0Hl019CyPkE8i1ofB-Cx1oN3rXavykKajObWqvf2dRmNgVUTebJefpToYPRTe11Z1z4swtRMCk33GLL4fTvi0OvgnHYGbTOo4nK9u7fri-xe4on</recordid><startdate>20070601</startdate><enddate>20070601</enddate><creator>Tijsseling, A.S.</creator><general>Elsevier Ltd</general><general>Elsevier Science</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20070601</creationdate><title>Water hammer with fluid–structure interaction in thick-walled pipes</title><author>Tijsseling, A.S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c425t-89b993a27b7cf7290dce716708d2cea87dda5f152f3147a95bd00155dbfcbea53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><topic>Applied sciences</topic><topic>Compressible flows; shock and detonation phenomena</topic><topic>Exact sciences and technology</topic><topic>Flows in ducts, channels, nozzles, and conduits</topic><topic>Fluid dynamics</topic><topic>Fluid transients</topic><topic>Fluid–structure interaction (FSI)</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Mechanical engineering. Machine design</topic><topic>Physics</topic><topic>Pipe flow</topic><topic>Pipe vibration</topic><topic>Pipings, valves, fittings</topic><topic>Shock-wave interactions and shock effects</topic><topic>Solid mechanics</topic><topic>Steel design</topic><topic>Structural and continuum mechanics</topic><topic>Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)</topic><topic>Water hammer</topic><topic>Wave speed</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Tijsseling, A.S.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems 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>Computers & structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Tijsseling, A.S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Water hammer with fluid–structure interaction in thick-walled pipes</atitle><jtitle>Computers & structures</jtitle><date>2007-06-01</date><risdate>2007</risdate><volume>85</volume><issue>11</issue><spage>844</spage><epage>851</epage><pages>844-851</pages><issn>0045-7949</issn><eissn>1879-2243</eissn><abstract>A one-dimensional mathematical model is presented which describes the acoustic behaviour of thick-walled liquid-filled pipes. The model is based on conventional water-hammer and beam theories. Fluid–structure interaction (FSI) is taken into account. The equations governing straight pipes are derived by the cross-sectional integration of axisymmetric two-dimensional basic equations. The resulting FSI four-equation model has small correction terms and factors accounting for the wall thickness. Exact solutions of this model show that these corrections are important only for very thick pipes, with, say, a radius/thickness ratio smaller than 2.</abstract><cop>Oxford</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.compstruc.2007.01.008</doi><tpages>8</tpages><oa>free_for_read</oa></addata></record> |
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subjects | Applied sciences Compressible flows shock and detonation phenomena Exact sciences and technology Flows in ducts, channels, nozzles, and conduits Fluid dynamics Fluid transients Fluid–structure interaction (FSI) Fundamental areas of phenomenology (including applications) Mechanical engineering. Machine design Physics Pipe flow Pipe vibration Pipings, valves, fittings Shock-wave interactions and shock effects Solid mechanics Steel design Structural and continuum mechanics Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) Water hammer Wave speed |
title | Water hammer with fluid–structure interaction in thick-walled pipes |
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