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dc.contributor.authorAlfosail, Feras
dc.contributor.authorNayfeh, Ali H.
dc.contributor.authorYounis, Mohammad I.
dc.date.accessioned2016-11-03T08:31:29Z
dc.date.available2016-11-03T08:31:29Z
dc.date.issued2016-05-28
dc.identifier.citationAlfosail FK, Nayfeh AH, Younis MI (2016) An analytic solution of the static problem of inclined risers conveying fluid. Meccanica. Available: http://dx.doi.org/10.1007/s11012-016-0459-2.
dc.identifier.issn0025-6455
dc.identifier.issn1572-9648
dc.identifier.doi10.1007/s11012-016-0459-2
dc.identifier.urihttp://hdl.handle.net/10754/621529
dc.description.abstractWe use the method of matched asymptotic expansion to develop an analytic solution to the static problem of clamped–clamped inclined risers conveying fluid. The inclined riser is modeled as an Euler–Bernoulli beam taking into account its self-weight, mid-plane stretching, an applied axial tension, and the internal fluid velocity. The solution consists of three parts: an outer solution valid away from the two boundaries and two inner solutions valid near the two ends. The three solutions are then matched and combined into a so-called composite expansion. A Newton–Raphson method is used to determine the value of the mid-plane stretching corresponding to each applied tension and internal velocity. The analytic solution is in good agreement with those obtained with other solution methods for large values of applied tensions. Therefore, it can be used to replace other mathematical solution methods that suffer numerical limitations and high computational cost. © 2016 Springer Science+Business Media Dordrecht
dc.description.sponsorshipKing Abdullah University of Science and Technology
dc.publisherSpringer Nature
dc.subjectBoundary layer perturbation
dc.subjectInclined riser
dc.subjectMatched asymptotic expansion
dc.subjectMid-plane stretching
dc.titleAn analytic solution of the static problem of inclined risers conveying fluid
dc.typeArticle
dc.contributor.departmentMechanical Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalMeccanica
dc.contributor.institutionDepartment of Engineering Science and Mechanics, MC 0219, Virginia Polytechnic Institute and State University, Blacksburg, VA, United States
dc.contributor.institutionDepartment of Mechanical Engineering, University of Jordan, Amman, Jordan
kaust.personAlfosail, Feras
kaust.personYounis, Mohammad I.
dc.date.published-online2016-05-28
dc.date.published-print2017-03


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