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Title: On the validity of the low magnetic Reynolds number approximation in MHD natural convection heat transfer
Authors: Σαρρής, Ιωάννης Ε.
Ζήκος, Γ.Κ.
Γραίκος, Α.Π.
Βλάχος, Νικόλας Σ.
Item type: Journal article
Keywords: magnetohydrodynamic;Grashof number;Hartmann number;Prandtl number;μαγνητοϋδροδυναμική;Grashof αριθμός;Hartmann αριθμός;Prandtl αριθμός
Subjects: Technology
Issue Date: 4-May-2015
Date of availability: 4-May-2015
Publisher: Taylor & Francis
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.
Language: English
Citation: 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:[Accessed 24/02/2007]
Journal: Numerical Heat Transfer, Part B: Fundamentals
Type of Journal: With a review process (peer review)
Access scheme: Publicly accessible
License: Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες
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