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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 71, 2017 - Issue 1
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Original Articles

MHD phase change heat transfer in an inclined enclosure: Effect of a magnetic field and cavity inclination

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Pages 91-109 | Received 09 Jun 2016, Accepted 16 Sep 2016, Published online: 06 Jan 2017

References

  • O. Bertrand, B. Binet, H. Combeau, S. Couturier, Y. Delannoy, D. Gobin, M. Lacroix, P. Le Quéré, M. Médale, and J. Mencinger, Melting Driven by Natural Convection A Comparison Exercise: First Results, Int. J. Therm. Sci., vol. 38, no. 1, pp. 5–26, 1999.
  • A. Brent, V. Voller, and K. t. J. Reid, Enthalpy-Porosity Technique for Modeling Convection-Diffusion Phase Change: Application to the Melting of a Pure Metal, Numer. Heat Transfer Part A, vol. 13, no. 3, pp. 297–318, 1988.
  • L. Kumar, B. Manjunath, R. Patel, S. Markandeya, R. Agrawal, A. Agrawal, Y. Kashyap, P. Sarkar, A. Sinha, and K. Iyer, Experimental Investigations on Melting of Lead in a Cuboid with Constant Heat Flux Boundary Condition Using Thermal Neutron Radiography, Int. J. Therm. Sci., vol. 61, pp. 15–27, 2012.
  • Q. Duan, F. Tan, and K. Leong, A Numerical Study of Solidification of n-Hexadecane Based on the Enthalpy Formulation, J. Mater. Process. Technol., vol. 120, no. 1, pp. 249–258, 2002.
  • E. Semma, M. El Ganaoui, and R. Bennacer, A. Mohamad, Investigation of Flows in Solidification by Using the Lattice Boltzmann Method, Int. J. Therm. Sci., vol. 47, no. 3, pp. 201–208, 2008.
  • S. Wang, A. Faghri, and T. L. Bergman, A Comprehensive Numerical Model for Melting with Natural Convection, Int. J. Heat Mass Transfer, vol. 53, no. 9, pp. 1986–2000, 2010.
  • A. J. Chamkha, S. E. Ahmed, and A. S. Aloraier, Melting and Radiation Effects on Mixed Convection from a Vertical Surface Embedded in a Non-Newtonian Fluid Saturated Non-Darcy Porous Medium for Aiding and Opposing Eternal Flows, Int. J. Phys. Sci., vol. 5, no. 7, pp. 1212–1224, 2010.
  • S. Tiwari, S. Qiu, and M. Mahdavi, Numerical Study of Finned Heat Pipe-Assisted Thermal Energy Storage System with High Temperature Phase Change Material, Energy Convers. Manage., vol. 89, pp. 833–842, 2015.
  • A. Joulin, Z. Younsi, L. Zalewski, D. R. Rousse, and S. Lassue, A Numerical Study of the Melting of Phase Change Material Heated from a Vertical Wall of a Rectangular Enclosure, Int. J. Comput. Fluid Dyn., vol. 23, no. 7, pp. 553–566, 2009.
  • J. Khodadadi and S. Hosseinizadeh, Nanoparticle-Enhanced Phase Change Materials (NEPCM) with Great Potential for Improved Thermal Energy Storage, Int. Commun. Heat Mass Transfer, vol. 34, no. 5, pp. 534–543, 2007.
  • S. Kashani, A. Ranjbar, M. Abdollahzadeh, and S. Sebti, Solidification of Nano-Enhanced Phase Change Material (NEPCM) in a Wavy Cavity, Heat Mass Transfer, vol. 48, no. 7, pp. 1155–1166, 2012.
  • C. Zhang, L. Zheng, Y. Jiang, and X. Zhang, Unsteady Natural Convection Heat Transfer of Nanofluid in an Annulus with a Sinusoidally Heated Source, Numer. Heat Transfer. Part A, vol. 69, no. 1, pp. 97–108, 2016.
  • M. Sheikholeslami and A. J. Chamkha, Flow and Convective Heat Transfer of a Ferro-Nanofluid in a Double-Sided Lid-Driven Cavity with a Wavy Wall in the Presence of a Variable Magnetic Field, Numer. Heat Transfer Part A, vol. 69, no. 10, pp. 1186–1200, 2016.
  • M. Sheikholeslami, M. Azimi, and D. D. Ganji, Application of Differential Transformation Method for Nanofluid Flow in a Semi-Permeable Channel Considering Magnetic Field Effect, Int. J. Comput. Methods Eng. Sci. Mech., vol. 16, no. 4, pp. 246–255, 2015.
  • B. Xu, B. Li, and D. Stock, An Experimental Study of Thermally Induced Convection of Molten Gallium in Magnetic Fields, Int. J. Heat Mass Transfer, vol. 49, no. 13, pp. 2009–2019, 2006.
  • 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. Therm. Sci., vol. 49, no. 9, pp. 1856–1865, 2010.
  • S. K. Jena, V. K. R. Yettella, C. P. R. Sandeep, S. K. Mahapatra, and A. J. Chamkha, Three-Dimensional Rayleigh–Bénard Convection of Molten Gallium in a Rotating Cuboid Under the Influence of a Vertical Magnetic Field, Int. J. Heat Mass Transfer, vol. 78, pp. 341–353, 2014.
  • Y. Feng, H. Li, L. Li, F. Zhan, Investigation of the Effect of Magnetic Field on Melting of Solid Gallium in a Bottom-Heated Rectangular Cavity Using the Lattice Boltzmann Method, Numer. Heat Transfer Part A, vol. 69, pp. 1263–1279, 2016.
  • M. Sathiyamoorthy and A. J. Chamkha, Natural Convection Flow Under Magnetic Field in a Square Cavity for Uniformly (or) Linearly Heated Adjacent Walls, Int. J. Numer. Methods Heat Fluid Flow, vol. 22, no. 5, pp. 677–698, 2012.
  • D. Halliday, R. Resnick, and J. Walker, Fundamentals of Physics Extended, John Wiley & Sons, New York, NY, 2010.
  • B. Sreenivasan, P. A. Davidson, J. Etay, On the Control of Surface Waves by a Vertical Magnetic Field, Phys. Fluids (1994-present), vol. 17, no. 11, pp. 117101, 2005.
  • J. N. Reddy, An Introduction to the Finite Element Method, McGraw-Hill, New York, 1993.
  • T. Basak, S. Roy, and A. Balakrishnan, Effects of Thermal Boundary Conditions on Natural Convection Flows Within a Square Cavity, Int. J. Heat Mass Transfer, vol. 49, no. 23, pp. 4525–4535, 2006.
  • T. Basak, S. Roy, T. Paul, and I. Pop, Natural Convection in a Square Cavity Filled with a Porous Medium: Effects of Various Thermal Boundary Conditions, Int. J. Heat Mass Transfer, vol. 49, no. 7, pp. 1430–1441, 2006.
  • C. Gau and R. Viskanta, Melting and Solidification of a Pure Metal on a Vertical Wall, J. Heat Transfer, vol. 108, no. 1, pp. 174–181, 1986.
  • R. Viswanath and Y. Jaluria, A Comparison of Different Solution Methodologies for Melting and Solidification Problems in Enclosures, Numer. Heat Transfer Part B, vol. 24, no. 1, pp. 77–105, 1993.
  • C. Desai and K. Vafai, A Unified Examination of the Melting Process within a Two-Dimensional Rectangular Cavity, J. Heat Transfer, vol. 115, no. 4, pp. 1072–1075, 1993.
  • A. Al-Mudhaf, and A. J. Chamkha, Natural Convection of Liquid Metals in an Inclined Enclosure in the Presence of a Magnetic Field, Int. J. Fluid Mech. Res., vol. 31, no. 3, 2004.

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