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Numerical study of turbulent MHD convection of molten sodium with variable properties in a square cavity

ABSTRACT
In this study, the finite volume method is used to simulate the turbulent natural convection in a square partitioned cavity. In this paper a fluid flow with Pr = 0.01 and Rayleigh numbers Ra = 106 and 107 in the presence of a magnetic field is investigated. The fluid properties are function of temperature. A parametric study is carried out using following parameters: non-dimensional different partition position from 0.2 to 0.6, non-dimensional different partition height from 0.1 to 0.4 and different Hartmann numbers from 0 to 200. It is found that Nusselt number is a decreasing function of partition height (Hp) and Hartmann number and the non-dimensional position of partitions (Dp) affects on streamlines and isotherms. It is observed that at Ra=106 and Dp=0.6 the Nusselt number is maximum and as Ha increases the Nusselt number tends to a constant number. Also at Ra=107 and Dp=0.4 the variation of mean Nusselt number for different partition heights is more different than the other cases. Also the Nusselt number at Hp=0.4 is nearly half for Dp=0.4 in comparison with the other cases.
KEYWORDS
PAPER SUBMITTED: 2017-11-01
PAPER REVISED: 2018-02-04
PAPER ACCEPTED: 2018-03-03
PUBLISHED ONLINE: 2018-03-04
DOI REFERENCE: https://doi.org/10.2298/TSCI171115083P
REFERENCES
  1. Rudraiah, N., et al., Effect of a Magnetic Field on Free Convection in a Rectangular Cavity, International Journal of Engineering Science, 33(1995), pp. 1075-1084.
  2. Al-Najem, N.M., et al., Numerical Study of Laminar Natural Convection in Tilted Cavity with Transverse Magnetic Field, International Journal of Numerical Methods for Heat Fluid Flow, 8 (1998), pp.651-672.
  3. Bondareva, N.S., et al., Magnetic Field Effect on the Unsteady Natural Convection in a Right-Angle Trapezoidal Cavity Filled with a Nanofluid, International Journal of Numerical Methods for Heat Fluid Flow, 25(2015), pp. 1924-1946
  4. Sheremet, M.A., et al., Magnetic Field Effect on the Unsteady Natural Convection in a Wavy-Walled Cavity Filled with a Nanofluid: Buongiorno's Mathematical Model, Journal of the Taiwan Institute of Chemical Engineers, 61 (2016), pp. 211-22
  5. Pirmohammadi, M., Ghassemi, M., Effect of Magnetic Field on Convection Heat Transfer Inside a Tilted Square Enclosure, International Communications in Heat and Mass Transfer, 36 (2009), pp. 776-780.
  6. Pirmohammadi, M., et al., Numerical Study of Hydromagnetic Convection of an Electrically Conductive Fluid with Variable Properties inside an Enclosure, IEEE Transactions on Plasma Science, 39 (2011), pp.516 - 520.
  7. Jalil, J. M. , Al-Tae'y, K. A., The Effect of Nonuniform Magnetic Field on Natural Convection in an Enclosure, Numerical Heat Transfer, Part A , 51(2007), pp. 899-917
  8. Kakarantzas, S.C., et al., 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, 45(2011), pp. 3347-3356
  9. Liu, X., et al., Effects of Static Magnetic Fields on Thermal Fluctuations in the Melt of Industrial CZ-Si Crystal Growth", Journal of Crystal Growth, 360 (2012), pp. 38-42.
  10. Kakarantzas, S. C.,et al., Magnetohydrodynamic Natural Convection of Liquid Metal Between Coaxial Isothermal Cylinders due to Internal Heating, Numerical Heat Transfer, Part A, 65(2014), pp. 401-418
  11. Zhang, X., Zikanov, O., Two-Dimensional Turbulent Convection in a Toroidal Duct of a Liquid Metal Blanket, Journal of. Fluid Mechanics, 779 (2015), pp.36-52.
  12. Sajjadi, H., Kefayati, GH.R., MHD Turbulent and Laminar Natural Convection in a Square Cavity utilizing Lattice Boltzmann Method, Heat Transfer—Asian Research, 45 (2016),8, pp. 795-814
  13. Enayati, et al., Numerical Simulations of Transitional and Turbulent Natural Convection in Laterally Heated Cylindrical Enclosures for Crystal Growth, Numerical Heat Transfer, Part A, vol. 70(11), (2016), pp.1195-1212.
  14. Versteeg, H., Malalaskera, W., An Introduction to Computational Fluid Dynamics", Longman scientific & technical, 1995
  15. Sarris, I. E. , et al.,On the Limits of Validity of the Low Magnetic Reynolds Number Approximation in MHD Natural-Convection Heat Transfer, Numerical Heat Transfer (Part B),50 (2006), pp. 157-180
  16. HEIDARY H., et al., Magnetic Field Effect on Convective Heat Transfer in Corrugated Flow Channel, Thermal Science, 21, (2017),5, pp. 2105-2115
  17. Jayatilleke, C. L. V, The Influence of Prandtl Number and Surface Roughness on the Resistance of Laminar Sublayer to Momentum and Heat Transfer", heat and mass transfer, 1(1969) ,193
  18. Patankar, S.V., Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, DC, (1980)