Free convection from an arbitrarily inclined plate in a porous medium
dc.contributor.author | Na, Tsung-Yen | en_US |
dc.contributor.author | Pop, Ioan | en_US |
dc.date.accessioned | 2006-09-08T19:54:17Z | |
dc.date.available | 2006-09-08T19:54:17Z | |
dc.date.issued | 1996-11 | en_US |
dc.identifier.citation | Pop, I.; Na, Tsung-Yen; (1996). "Free convection from an arbitrarily inclined plate in a porous medium." Heat and Mass Transfer 32 (1-2): 55-59. <http://hdl.handle.net/2027.42/42038> | en_US |
dc.identifier.issn | 0947-7411 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/42038 | |
dc.description.abstract | A mathematical model for the flow and heat transfer in the free convection from an arbitrary inclined isothermal flat plate embedded in a porous medium is presented, in which the Darcy–Boussinesq approximation is adopted to account for bouyancy force. A novel inclination parameter ξ is proposed such that all cases of the horizontal, inclined and vertical plates can be described by a single set of transformed boundary layer equations. Moreover, the similarity equations for the limiting cases of the horizontal and vertical plates are recovered from the transformed equations by setting ξ=0 and ξ=1, respectively. Detailed results for the skin friction coefficient and Nusselt number as well as for the dimensionless velocity and temperature profiles are presented for a wide range of the parameter ξ. A comparison with similarity solution shows excellent agreement. Es wird ein mathematisches Modell zur Beschreibung des Strömungsverhaltens und des Wärmeübergangs bei freier Konvektion an einer beliebig geneigten, isothermen, ebenen Platte, die in ein poröses Medium eingebettet ist, vorgestellt, wobei die Auftriebskraft über die Darcy/Boussinesq-Approximation erfaßt wird. Durch die Einführung eines Neigungsparameters ζ lassen sich zwischen vertikal und horizontal beliebig orientierte Platten durch einen einzigen Satz transformierter Grenzschichtgleichungen beschreiben. Für die Grenzfälle ζ=0 (horizontal) und ζ=1 (vertikal) liefern die transformierten Gleichungen die bekannten Ähnlichkeitsbeziehungen. Für einen weiten Bereich des Parameters ζ werden Ergebnisse bezüglich Reibungsbeiwert und Nusselt-Zahl, so wie die dimensionslosen Geschwindigkeitsund Temperaturprofile mitgeteilt. Beim Vergleich mit Ähnlichkeitslösungen zeigt sich ausgezeichnete Übereinstimmung. | en_US |
dc.format.extent | 327946 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Springer-Verlag; Springer-Verlag Berlin Heidelberg | en_US |
dc.subject.other | Legacy | en_US |
dc.title | Free convection from an arbitrarily inclined plate in a porous medium | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Mechanical Engineering | en_US |
dc.subject.hlbtoplevel | Engineering | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mechanical Engineering University of Michigan – Dearborn Dearborn MI, 48128 USA, US | en_US |
dc.contributor.affiliationother | Faculty of Mathematics University of Cluj R-3400 Cluj, CP253 Romania, RO | en_US |
dc.contributor.affiliationumcampus | Dearborn | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/42038/1/231-32-1-2-55_60320055.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/s002310050091 | en_US |
dc.identifier.source | Heat and Mass Transfer | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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