Magnetic field influence on double-diffusive natural convection in a square cavity – A numerical study

References

• A. Abidi, L. Kolsi, M. N. Borjini, H. Ben Aissia, and M. J. Safi, Effect of Heat and Mass Transfer Through Diffusive Walls on Three-Dimensional Double-Diffusive Natural Convection, Numer. Heat Transfer Part A Appl., vol. 53, no. 12, pp. 1357–1376, 2008.
   Web of Science ®Google Scholar
• B. Ghernaout, S. Bouabdallah, A. Benchatti, and R. Bessaih, Effect of the Buoyancy Ratio on Oscillatory Double-Diffusive Convection in Binary Mixture, Numer. Heat Transfer Part A Appl., vol. 66, no. 8, pp. 928–946, 2014.
   Web of Science ®Google Scholar
• Y. S. Li, J. M. Zhan, and Y. Y. Luo, Unsteady Phenomena in the Double-Diffusive Convection Flows at High Rayleigh Number, Numer. Heat Transfer Part A Appl., vol. 54, no. 11, pp. 1061–1083, 2008.
   Web of Science ®Google Scholar
• P. W. Shipp, M. Shoukri, and M. B. Carver, Effect of Thermal Rayleigh and Lewis Numbers on Double-Diffusive Natural Convection in a Closed Annulus, Numer. Heat Transfer Part A Appl., vol. 24, no. 4, pp. 451–465, 1998.
   Web of Science ®Google Scholar
• S. Mergui and D. Gobin, Transient Double Diffusive Convection in a Vertical Enclosure with Asymmetrical Boundary Conditions, ASME J. Heat Transfer, vol. 122, no. 3, pp. 598–601, 2016.
   Web of Science ®Google Scholar
• C. Beghein, F. Haghighat, and F. Allard, Numerical Study of Double-Diffusive Natural Convection in a Square Cavity, Int. J. Heat Mass Transfer, vol. 35, pp. 833–846, 1992.
   Web of Science ®Google Scholar
• T. Nishimura, M. Wakamatsu, and A. M. Morega, Oscillatory Double Diffusive Convection in a Rectangular Enclosure with Combined Horizontal Temperature Concentration Gradients, Int. J. Heat Mass Transfer, vol. 41, pp. 1601–1611, 1998.
   Web of Science ®Google Scholar
• A. M. Al-Amiri, K. M. Khanafar, and I. Pop, Numerical Simulation of a Combined Thermal Mass Transport in a Square Lid-Driven Cavity, Int. J. Therm. Sci., vol. 46, pp. 662–671, 2007.
   Web of Science ®Google Scholar
• S. Chen, J. Tolke, and M. Krafczyk, Numerical Investigation Of Double-Diffusive (Natural) Convection in Vertical Annuluses with Opposing Temperature Concentration Gradients, Int. J Heat Fluid Flow, vol. 31, pp. 217–226, 2010.
   Web of Science ®Google Scholar
• D. Senthil Kumar, K. Murugesan, and H. R. Thomas, Numerical Simulation of Double Diffusive Mixed Convection in a Lid-Driven Square Cavity Using Velocity-Vorticity Formulation, J. Numer. Heat Transfer Part A Appl., vol. 54, no. 9, pp. 837–865, 2008.
   Web of Science ®Google Scholar
• D. Senthil Kumar, K. Murugesan, and Akhilesh Gupta, Thermo-Solutal Buoyancy Induced Mixed Convection in a Backward Facing Step Channel using Velocity–Vorticity Formulation, J. Heat Transfer Part A Appl., vol. 56, no. 7, pp. 604–630, 2009.
   Web of Science ®Google Scholar
• D. S. Kumar, K. Murugesan, and H. R. Thomas, Effect of the Aspect Ratio of a Heated Block on the Interaction between Inertial Thermosolutal Buoyancy Forces in a Lid- Driven Cavity, Numer. Heat Transfer Part A Appl., vol. 60, no. 7, pp. 604–628, 2011.
   Web of Science ®Google Scholar
• T. R. Mahapatra, D. Pal, and S. Mondal, Effects of Buoyancy Ratio on Double-Diffusive Natural Convection in a Lid-Driven Cavity, Int. J. Heat Mass Transfer, vol. 57, pp. 771–785, 2013.
   Web of Science ®Google Scholar
• C. Zhi-Wu, Z. Jie-Min, L. Yok-Sheung, L. Ying-Ying, and C. Shuqun, Double-Diffusive Buoyancy Convection in a Square Cuboid with Horizontal Temperature Concentration Gradients, Int. J. Heat Mass Transfer, vol. 60, pp. 422–431, 2013.
   Web of Science ®Google Scholar
• Q. Qin, X. ZA, and Z. F. Tian, High Accuracy Numerical Investigation of Double-Diffusive Convection in a Rectangular Enclosure with Horizontal Temperature Concentration Gradients, Int. J. Heat Mass Transfer, vol. 71, pp. 405–423, 2014.
   Web of Science ®Google Scholar
• M. Corcione, S. Grignaffini, and A. Quintino, Correlations for the Double-Diffusive Natural Convection in Square Enclosures Induced by Opposite Temperature Concentration Gradients, Int. J. Heat Mass Transfer, vol. 81, pp. 811–819, 2015.
   Web of Science ®Google Scholar
• M. Nazari, L. Louhghalam, and M. H. Kayhani, Lattice Boltzmann Simulation of Double Diffusive Natural Convection in a Square Cavity with a Hot Square Obstacle, Chin. J. Chem. Eng., vol. 23, pp. 22–30, 2015.
   Web of Science ®Google Scholar
• S. K. Jenaa, S. K. Mahapatra, A. Sarkar, and A. J. Chamkhac, Thermo-Solutal Buoyancy-Opposed Free Convection of a Binary Ostwald–De Waele Fluid Inside a Cavity Having Partially-Active Vertical Walls, J. Taiwan Inst. Chem. Eng., vol. 51, pp. 9–19, 2015.
   Web of Science ®Google Scholar
• S. Chen, B. Yang, X. Xiao, and C. Zheng, Analysis of Entropy Generation in Double-Diffusive Natural Convection of Nanofluid, Int. J. Heat Mass Transfer, vol. 87, pp. 447–463, 2015.
   Web of Science ®Google Scholar
• Q. Ren and C. L. Chan, Numerical Study of Double-Diffusive Convection in a Vertical Cavity with Soret Dufour Effects by Lattice Boltzmann Method on GPU, Int. J. Heat Mass Transfer, vol. 93, pp. 538–553, 2016.
   Web of Science ®Google Scholar
• M. Bhuvaneswari, S. Sivasankaran, and Y. J. Kim, Numerical Study on Double Diffusive Mixed Convection with a Soret Effect in a Two-Sided Lid-Driven Cavity, J. Numer. Heat Transfer Part A Appl., vol. 59, no. 7, pp. 543–560, 2011.
   Web of Science ®Google Scholar
• A. Abidi, L. Kolsi, M. N. Borjini, and H. Ben Aissia, Effect of Radiative Heat Transfer on Three-Dimensional Double Diffusive Natural Convection, Numer. Heat Transfer Part A Appl., vol. 60, no. 9, pp. 785–809, 2011.
   Web of Science ®Google Scholar
• S. Meftah, A. Ibrahim, D. Lemonnier, and A. Benbrik, Coupled Radiation and Double Diffusive Convection in Nongray Air-CO2 and Air-H2O Mixtures in Cooperating Situations, Numer. Heat Transfer Part A Appl., vol. 56, no. 1, pp. 1–19, 2009.
   Web of Science ®Google Scholar
• M. Cherifia, S. Laouar-Meftaha, A. Benbrika, D. Lemonnierb, and D. Sauryb, Interaction of Radiation with Double-Diffusive Natural Convection in a Three-Dimensional Cubic Cavity Filled with a Non-Gray Gas Mixture in Cooperating Cases, Numer. Heat Transfer Part A Appl., vol. 69, no. 5, pp. 479–496, 2016.
   Web of Science ®Google Scholar
• S. Siddiqa, M. A. Hossain, and S. C. Saha, Double Diffusive Magneto-Convection Fluid Flow in a Strong Cross Magnetic Field with Uniform Surface Heat Mass Flux, ASME J. Heat Transfer, vol. 134, no. 11, pp. 114506–1, 2012.
   Web of Science ®Google Scholar
• T. Tagawa, R. Shigemitsu, and H. Ozoe, Magnetizing Force Modeled Numerically Solved for Natural Convection of Air in a Cubic Enclosure: Effect of the Direction of the Magnetic Field, Int. J. Heat Mass Transfer, vol. 45, pp. 267–277, 2002.
   Web of Science ®Google Scholar
• M. N. Borjini, L. Kolsi, N. Daous, and H. B. Aissia, Hydromagnetic Double-Diffusive Laminar Natural Convection in a Radiatively Participating Fluid, Numer. Heat Transfer Part A Appl., vol. 48, no. 5, pp. 483–506, 2005.
   Web of Science ®Google Scholar
• M. Borhan Uddina, M. M. Rahmanbc, and M. A. H. Khanc, Hydromagnetic Double-Diffusive Unsteady Mixed Convection in a Trapezoidal Enclosure Due to Uniform, and Nonuniform Heating at the Bottom Side, Numer. Heat Transfer Part A Appl., vol. 68, no. 2, 2015.
   Web of Science ®Google Scholar
• B. Xu B, B. Q. Li, and D. E. Stock, An Experimental Study of Thermally Induced Convection of Molten Gallium in Magnetic Fields, Int. J. Heat Mass Transfer, vol. 49, pp. 2009–2019, 2006.
   Web of Science ®Google Scholar
• H. Ozoe H and K. Okada, The Effect of the Direction of the External Magnetic Field on the Three-Dimensional Natural Convection in a Cubic Enclosure, Int. J. Heat Mass Transfer, vol. 32, pp. 1939–1953, 1989.
   Web of Science ®Google Scholar
• D. Chatterjeea, MHD Mixed Convection in a Lid-Driven Cavity Including a Heated Source, Numer. Heat Transfer Part A Appl., vol. 64, no. 3, pp. 530–550, 2013.
   Web of Science ®Google Scholar
• M. Pirmohammadi and M. Ghassemi, Effect of Magnetic Field on Convection Heat Transfer Inside a Tilted Square Enclosure, Int. Commun. Heat Mass Transfer, vol. 36, pp. 776–780, 2009.
   Web of Science ®Google Scholar
• M. Sathiyamoorthy and A. Chamkha, Effect of Magnetic Field on Natural Convection Flow in a Liquid Gallium Filled Square Cavity for Linearly Heated Side Wall(s), Int. J. Thermal Sci., vol. 49, 1856–1865, 2010.
   Web of Science ®Google Scholar
• G. H. R Kefayati, M. Gorji, D. D. Ganji, and H. Sajjadi, Investigation of Prtl Number Effect on Natural Convection MHD in an Open Cavity by Lattice Boltzmann Method, Eng. Comput., vol. 30, pp. 97–116, 2013.
   Web of Science ®Google Scholar
• M. Venkatachalappa, D. Younghae, and M. Sankar, Effect of Magnetic Field on the Heat Mass Transfer in a Vertical Annulus, Int. J. Eng. Sci., vol. 49, pp. 262–278, 2011.
   Web of Science ®Google Scholar
• A. J. Chamkha and H. Al-Naser, Hydromagnetic Double-Diffusive Convection in a Rectangular Enclosure with Uniform Side Heat Mass Fluxes Opposing Temperature Concentration Gradients, Int. J. Thermal Sci., vol. 41, pp. 936–948, 2002.
   Web of Science ®Google Scholar
• A. J. Chamkha and H. Al-Naser, Hydromagnetic Double-Diffusive Convection in a Rectangular Enclosure with Opposing Temperature Concentration Gradients, Int. J. Heat Mass Transfer, vol. 45, pp. 2465–2483, 2002.
   Web of Science ®Google Scholar
• M. A. Teamah, Numerical Simulation of Double Diffusive Natural Convection in Rectangular Enclosure in the Presences of Magnetic Field Heat Source, Int. J. Thermal Sci., vol. 47, pp. 237–248, 2008.
   Web of Science ®Google Scholar
• C. Ma, Lattice BGK Simulations of Double Diffusive Natural Convection in a Rectangular Enclosure in the Presences of Magnetic Field Heat Source, Nonlinear Anal. Real World Appl., vol. 10, pp. 2666–2678, 2009.
   Web of Science ®Google Scholar