A numerical scheme for unsteady flow of a viscous fluid between elliptic plates
dc.contributor.author | Aziz, A. | en_US |
dc.contributor.author | Na, Tsung-Yen | en_US |
dc.date.accessioned | 2006-04-07T18:05:27Z | |
dc.date.available | 2006-04-07T18:05:27Z | |
dc.date.issued | 1981-06 | en_US |
dc.identifier.citation | Aziz, A., Na, T. Y. (1981/06)."A numerical scheme for unsteady flow of a viscous fluid between elliptic plates." Journal of Computational and Applied Mathematics 7(2): 115-119. <http://hdl.handle.net/2027.42/24355> | en_US |
dc.identifier.uri | http://www.sciencedirect.com/science/article/B6TYH-488GDYG-1G/2/2011bd93923bdb7087753a12e4e62151 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/24355 | |
dc.description.abstract | A new continuation method has been developed to solve the nonlinear eigenvalue problem describing the unsteady, squeezing flow of a viscous fluid between elliptic plates. Unlike the numerical schemes previously used (e.g. homotopy algorithm), the present scheme is conceptually simple, noniterative, insensitive to the first approximation and works for all values of squeeze number S characterizing the flow. The numerical results compare extremely well with those obtained with sophisticated schemes. Since existing numerical data are limited to three sparsely spaced values of S, additional data are reported for systematically spaced values of squeeze number S and ellipticity parameter [beta]. Although the scheme has been applied to a specific problem, it appears potentially capable of handling a variety of nonlinear eigenvalue problems. | en_US |
dc.format.extent | 345117 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Elsevier | en_US |
dc.title | A numerical scheme for unsteady flow of a viscous fluid between elliptic plates | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mechanical Engineering, University of Michigan-Dearborn, Dearborn, Michigan 48128, USA | en_US |
dc.contributor.affiliationother | Department of Mechanical Engineering, College of Engineering, P. O. Box 800, Riyadh, Saudi Arabia | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/24355/1/0000624.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/0771-050X(81)90044-9 | en_US |
dc.identifier.source | Journal of Computational and Applied Mathematics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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