Numerical analysis of three-dimensional MHD natural convection flow in a short horizontal cylindrical annulus

作者: Wei Wang , Ben-Wen Li , Philip-Leslie Varghese , Xue-Yuan Leng , Xi-Yan Tian

DOI: 10.1016/J.ICHEATMASSTRANSFER.2018.09.009

关键词: MechanicsMagnetic fieldMagnetohydrodynamicsSymmetry breakingAnnulus (firestop)PhysicsLaminar flowNumerical analysisElectric potentialFinite volume method

摘要: Abstract A numerical study of three-dimensional (3D) MHD laminar flow in a short horizontal cylindrical annulus has been performed to characterize the impacts uniform axial magnetic field on both hydrodynamic and thermal behaviors. This configuration corresponds annular mold containing molten iron or low carbon steel electromagnetic casting (EMC). Complex nonlinear governing equations are solved numerically by means finite volume method based artificial compressibility algorithm. The induced electric potential caused is considered. Results show that typical 3D steady spiral arises symmetry breaking occurs under weak Ha  − 3 8 π ≤ φ ), significantly affected field. results present work can be useful producing high-quality products control.

参考文章(32)
Masoud Afrand, Sara Rostami, Mohammad Akbari, Somchai Wongwises, Mohammad Hemmat Esfe, Arash Karimipour, None, Effect of induced electric field on magneto-natural convection in a vertical cylindrical annulus filled with liquid potassium International Journal of Heat and Mass Transfer. ,vol. 90, pp. 418- 426 ,(2015) , 10.1016/J.IJHEATMASSTRANSFER.2015.06.059
Masoud Afrand, Said Farahat, Alireza Hossein Nezhad, Ghanbar Ali Sheikhzadeh, Faramarz Sarhaddi, 3-D numerical investigation of natural convection in a tilted cylindrical annulus containing molten potassium and controlling it using various magnetic fields International Journal of Applied Electromagnetics and Mechanics. ,vol. 46, pp. 809- 821 ,(2014) , 10.3233/JAE-141975
S.C. Kakarantzas, I.E. Sarris, N.S. Vlachos, Natural convection of liquid metal in a vertical annulus with lateral and volumetric heating in the presence of a horizontal magnetic field International Journal of Heat and Mass Transfer. ,vol. 54, pp. 3347- 3356 ,(2011) , 10.1016/J.IJHEATMASSTRANSFER.2011.03.051
Giuseppe Petrone, Eric Chénier, Guy Lauriat, Stability analysis of natural convective flows in horizontal annuli: Effects of the axial and radial aspect ratios Physics of Fluids. ,vol. 18, pp. 104107- ,(2006) , 10.1063/1.2364027
Mark P. Dyko, Kambiz Vafai, On the presence of odd transverse convective rolls in narrow-gap horizontal annuli Physics of Fluids. ,vol. 14, pp. 1291- 1294 ,(2002) , 10.1063/1.1445423
Tatsuo Sawada, Hiroshige Kikura, Atsushi Saito, Takahiko Tanahashi, Natural convection of a magnetic fluid in concentric horizontal annuli under nonuniform magnetic fields Experimental Thermal and Fluid Science. ,vol. 7, pp. 212- 220 ,(1993) , 10.1016/0894-1777(93)90004-3
Rao Yan-Fei, Miki Yasutomi, Fukuda Kenji, Takata Yasuyuki, Hasegawa Shu, Flow patterns of natural convection in horizontal cylindrical annuli International Journal of Heat and Mass Transfer. ,vol. 28, pp. 705- 714 ,(1985) , 10.1016/0017-9310(85)90193-0
I. E. Sarris, G. K. Zikos, A. P. Grecos, N. S. Vlachos, On the Limits of Validity of the Low Magnetic Reynolds Number Approximation in MHD Natural-Convection Heat Transfer Numerical Heat Transfer Part B-fundamentals. ,vol. 50, pp. 157- 180 ,(2006) , 10.1080/10407790500459403
Masoud Afrand, Said Farahat, Alireza Hossein Nezhad, Ghanbar Ali Sheikhzadeh, Faramarz Sarhaddi, NUMERICAL SIMULATION OF ELECTRICALLY CONDUCTING FLUID FLOW AND FREE CONVECTIVE HEAT TRANSFER IN AN ANNULUS ON APPLYING A MAGNETIC FIELD Heat Transfer Research. ,vol. 45, pp. 749- 766 ,(2014) , 10.1615/HEATTRANSRES.2014007285
Takata Yasuyuki, Iwashige Kengo, Fukuda Kenji, Hasegawa Shu, Three-dimensional natural convection in an inclined cylindrical annulus International Journal of Heat and Mass Transfer. ,vol. 27, pp. 747- 754 ,(1984) , 10.1016/0017-9310(84)90144-3