Combined effect of magnetic field and thermal dispersion on a non-darcy mixed convection

El-Amin, Mohamed F.; Sun, Shuyu

doi:10.1007/s11630-011-0470-9

Cited by 7 publications

(1 citation statement)

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“…The influence of magnetic field on wake and vortex shedding were analyzed. El‐Amin and Sun investigated the influences of thermal dispersion and magnetic field on a hot semi‐infinite vertical porous plate embedded in a saturated Darcy–Forchheimer–Brinkman porous medium. Recently, Chatterjee et al studied the flow separation mechanism and the effect of a transverse magnetic field on it for the unconfined flow over circular and square types of obstacles.…”

Section: Introductionmentioning

confidence: 99%

Wall‐Confined Flow and Heat Transfer Around a Square Cylinder at Low Reynolds and Hartmann Numbers

Chatterjee

Chatterjee²,

Mondal

et al. 2013

Heat Trans. Asian Res.

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This article discusses the results obtained through a two‐dimensional numerical simulation following a finite volume approach on the forced convection heat transfer for the hydromagnetic flow around a square cylinder at low Reynolds and Hartmann numbers. The magnetohydrodynamic (MHD) flow of a viscous incompressible and electrically conducting fluid is assumed to take place in a rectangular channel subjected to externally imposed magnetic fields and the cylinder is fixed within the channel. The magnetic fields may be applied either along the streamwise or transverse directions. Simulations are performed for the range of kinetic Reynolds number 10 ≤ Re ≤ 60 with Hartmann number 0 ≤ Ha ≤ 15 and for different thermal Prandtl numbers, Pr = 0.02 (liquid metal), 0.71 (air), and 7 (water) for a blockage ratio β = 0.25. A steady flow can be expected for the above range of conditions. Besides the channel wall, the magnetic field imparts additional stability to the flow as a consequence of which the recirculation region behind the obstacle reduces with increasing magnetic field strength for a particular Re. The critical Hartmann numbers for the complete suppression of flow separation in the case of a transversely applied magnetic field are computed. The rate of heat transfer is found almost invariant at low Re whereas it increases moderately for higher Re with the applied magnetic field. The heat transfer increases in general with the Reynolds number for all Hartmann numbers. Finally, the influence of obstacle shape on the thermohydrodynamic quantities is noted. © 2013 Wiley Periodicals, Inc. Heat Trans Asian Res, 43(5): 459–475, 2014; Published online 3 October 2013 in Wiley Online Library (http://wileyonlinelibrary.com/journal/htj). DOI 10.1002/htj.21091

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Section: Introductionmentioning

confidence: 99%