International Scientific Journal


A 3-D original numerical study of entropy generation in the case of liquid metal laminar natural convection in a differentially heated cubic cavity and in the presence of an external magnetic field orthogonal to the isothermal walls is carried out. The effect of this field on the various types of irreversibilities is analyzed. It was observed that in the presence of a magnetic field the generated entropy is distributed on the entire cavity and that the magnetic field limits the 3-D character of the distribution of the generated entropy.
PAPER REVISED: 2009-10-27
PAPER ACCEPTED: 2009-11-25
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THERMAL SCIENCE YEAR 2010, VOLUME 14, ISSUE Issue 2, PAGES [341 - 352]
  1. Magherbi, M., et al., Second Law Analysis in Convective Heat and Mass Transfer, Entropy, 8 (2006), 1, pp. 1-17
  2. Erbay, L. B., Altaç, Z., Sülüs, B., An Analysis of the Entropy Generation in a Square Enclosure, Entropy, 5 (2003), 5, pp. 496-505
  3. Baytas, A. C., Entropy Generation for Natural Convection in an Inclined Porous Cavity, Int. J. Heat Mass Transfer, 43 (2000), 12, pp. 2089-2099
  4. Magherbi, M., Abbassi, H., Ben Brahim, A., Entropy Generation at the Onset of Natural Convection, Int. J. Heat Mass Transfer, 46 (2003), 18, pp. 3441-3450
  5. Ilis, G., Mobedi, M., Sunden, B., Effect of Aspect Ratio on Entropy Generation in a Rectangular Cavity with Differentially Heated Vertical Walls, Int. Comm. Heat and Mass Transfer, 35 (2008), 6, pp. 696-703
  6. Varol, Y., Oztop, H. F., Koca, A., Entropy Production Due to Free Convection in Partially Heated Isosceles Triangular Enclosures, Applied Thermal Engineering, 28 (2008), 11-12, pp. 1502-1513
  7. Dagtekin, I., Oztop, H. F., Bahloul, A., Entropy Generation for Natural Convection in G-Shaped Enclosures, Int. Comm. Heat and Mass Transfer, 34 (2007), 4, pp. 502-510
  8. Famouri, M., Hooman, K., Entropy Generation for Natural Convection by Heated Partitions in a Cavity, Int. Comm. Heat and Mass Transfer, 35 (2008), 4, pp. 492-502
  9. Mahmud, S., Fraser, R., Magnetohydrodynamic Free Convection and Entropy Generation in a Square Porous Cavity, Int. J. Heat Mass Transfer, 47 (2004), 14-16, pp. 3245-3256
  10. Ibáñez, G., Cuevas, S., de Haro, M. L., Optimization of a Magnetohydrodynamic Flow Based on the Entropy Generation Minimization Method, Int. Comm. Heat and Mass Transfer, 33 (2006), 3, pp. 295-301
  11. Mahmud, S., Tasnim, S. H., Mamun, M. A. H., Thermodynamic Analysis of Mixed Convection in a Channel with Transverse Hydromagnetic Effect, Int. J. Thermal Science, 42 (2003), 8, pp. 731-740
  12. Tasnim, S. H., Shohel, M., Mamun, M. A. H., Entropy Generation in a Porous Channel with Hydromagnetic Effect, Exergy, 2 (2002), 4, pp. 300-308
  13. Aïboud-Saouli, S., et al., Second-Law Analysis of Laminar Fluid Flow in a Heated Channel with Hydromagnetic and Viscous Dissipation Effects, Applied Energy, 84 (2007), 3, pp. 279-289
  14. Kolsi, L., et al., Effect of an External Magnetic Field on the 3-D Unsteady Natural Convection in a Cubical Enclosure, Numerical Heat Transfer, Part A, 51 (2007), 10, pp. 1003-1021
  15. Borjini, M. N., et al., Hydromagnetic Double-Diffusive Laminar Natural Convection in a Radiatively Participating Fluid, Numerical Heat Transfer A, 48 (2005), 5, pp. 483-506
  16. Ben Hadid, H., Henry, D., Numerical Study of Convection in the Horizontal Bridgman Configuration under the Action of a Constant Magnetic Field, Part 2, Three Dimensional Flow, J. Fluid Mech., 333 (1996), 1, pp. 57-83
  17. Mossner, R., Muller, U., A Numerical Investigation of Three-Dimensional Magnetoconvection in Rectangular Cavities, Int. J. Heat Mass Transfer, 42 (1999), 6, pp. 1111-1121
  18. Di Piazza, I., Ciofalo, M., MHD Free Convection in a Liquid-Metal Filled Cubic Enclosure-I-Differential Heating, Int. J. Heat Mass Transfer, 45 (2002), 7, pp. 1477-1492
  19. Tagawa, T., Ozoe, H., The Natural Convection of Liquid Metal in a Cubical Enclosure with Various Electro-Conductivities of the Wall under the Magnetic Field, Int. J. Heat Mass Transfer, 41 (1998), 13, pp. 1917-1928
  20. Kenjere{,S., Hanjali}, K., Numerical Simulation of Magnetic Control of Heat Transfer in Thermal Convection, Int. J. Heat Fluid Flow, 25 (2004), 3, pp. 559-568
  21. Ozoe, H., Okada, K., Experimental Heat Transfer Rates of Natural Convection of Molten Gallium Suppressed under an External Magnetic Field in either x, y or z Direction, Int. J. Heat Mass Transfer, 114 (1992), 1, pp. 107-114
  22. Ozoe,H., Okada, K., The Effect of the Direction of the External Magnetic Field on the Three-Dimensional Natural Convection in a Cubical Enclosure, Int. J. Heat Mass Transfer, 32 (1989), 10, pp. 1939-1954
  23. Saris, 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: Fundamentals, 50 (2006), 2, pp. 157-180

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