On the validity of the low magnetic Reynolds number approximation in MHD natural convection heat transfer

dc.contributor.author	Σαρρής, Ιωάννης Ε.	el
dc.contributor.author	Ζήκος, Γ.Κ.	el
dc.contributor.author	Γραίκος, Α.Π.	el
dc.contributor.author	Βλάχος, Νικόλας Σ.	el
dc.date.accessioned	2015-05-04T19:31:04Z
dc.date.available	2015-05-04T19:31:04Z
dc.date.issued	2015-05-04
dc.identifier.uri	http://hdl.handle.net/11400/9698
dc.rights	Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.source	http://www.tandfonline.com/	en
dc.subject	magnetohydrodynamic
dc.subject	Grashof number
dc.subject	Hartmann number
dc.subject	Prandtl number
dc.subject	μαγνητοϋδροδυναμική
dc.subject	Grashof αριθμός
dc.subject	Hartmann αριθμός
dc.subject	Prandtl αριθμός
dc.title	On the validity of the low magnetic Reynolds number approximation in MHD natural convection heat transfer	en
heal.type	journalArticle
heal.classification	Technology
heal.classification	Engineering
heal.classification	Τεχνολογία
heal.classification	Μηχανική
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh85133147
heal.classificationURI	http://zbw.eu/stw/descriptor/19795-3
heal.classificationURI	N/A-Τεχνολογία
heal.classificationURI	N/A-Μηχανική
heal.identifier.secondary	DOI:10.1080/10407790500459403
heal.language	en
heal.access	free
heal.publicationDate	2006
heal.bibliographicCitation	SARRIS, I.E., ZIKOS, G.K., GRECOS, A.P. & VLACHOS, N.S. (2006). On the validity of the low magnetic Reynolds number approximation in MHD natural convection heat transfer. Numerical Heat Transfer, Part B: Fundamentals. [Online] 50 (2). p.157-180. Available from: http://www.tandfonline.com/[Accessed 24/02/2007]	en
heal.abstract	In the majority of magnetohydrodynamic (MHD) natural-convection simulations, the Lorentz force due to the magnetic field is suppressed into a damping term resisting the fluid motion. The primary benefit of this hypothesis, commonly called the low-R m approximation, is a considerable reduction of the number of equations required to be solved. The limitations in predicting the flow and heat transfer characteristics and the related errors of this approximation are the subject of the present study. Results corresponding to numerical solutions of the full MHD equations, as the magnetic Reynolds number decreases to a value of 10−3, are compared with those of the low-R m approximation. The influence of the most important parameters of MHD natural-convection problems (such as the Grashof, Hartmann, and Prandtl numbers) are discussed according to the magnetic model used. The natural-convection heat transfer in a square enclosure heated laterally, and subject to a transverse uniform magnetic field, is chosen as a case study. The results show clearly an increasing difference between the solutions of the full MHD equations and low-R m approximation with increasing Hartmann number. This difference decreases for higher Grashof numbers, while for Prandtl numbers reaching lower values like those of liquid metals, the difference increases.	en
heal.publisher	Taylor & Francis	en
heal.journalName	Numerical Heat Transfer, Part B: Fundamentals	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true