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Year 2021, Volume: 24 Issue: 4, 1 - 15, 01.12.2021

Rabah Bouchaır Abderrahim Bourouıs Abdeslam Omara

https://doi.org/10.5541/ijot.860595

Abstract

References

  • K. H. Hameed, H. A. Farooq, M. Hatami, D. Jing, “Effect of two baffles on MHD natural convection in U-shape superposed by solid nanoparticle having different shapes,” Journal of Applied and Computational Mechanics, 6, 1200-1209, 2020.
  • Y. Menni, A. Azzi, A. J. Chamkha, “A review of solar energy collectors: models and applications,” Journal of Applied and Computational Mechanics, 4, 375-401, 2018.
  • G.M. Oreper, J. Szekely, “The effect of an externally imposed magnetic field on buoyancy driven flow in a rectangular cavity,” Journal of Crystal Growth, 64, 505-515, 1983.
  • H. Ozoe, E. Maruo, “Magnetic and gravitational natural convection of melt silicon-tow-dimensional numerical computations for the rate of heat transfer,” JSME International Journal, 30,774-784, 1987.
  • J. P. Garandet, T. Alboussiere, “Buoyancy driven convection in a rectangular enclosure with a transverse magnetic field,” Int. J. Heat Mass Transfer,” 35, 741-748, 1992.
  • K. Okada, H. Ozoe, “Experimental heat transfer rates of natural convection of molten gallium suppressed under an external magnetic field in either the X,Y, or Z direction,” Journal of Heat Transfer, 114, 107-114, 1992.
  • A. F. Emery, “The effect of a magnetic field upon the free convection of a conducting fluid,” Journal of Heat Transfer, 85, 119-124, 1963.
  • M. Venkatachalappa, C. K. Subbaraya, “Natural convection in a rectangular enclosure in the presence of a magnetic field with uniform heat flux from the side walls,” Acta Mechanica, 96, 13-26, 1993.
  • S. Alchaar, P. Vasseur, E. Bilgen, “Natural convection heat transfer in a rectangular enclosure with a transverse magnetic field,” Journal of Heat Transfer, 117, 668-673, 1995.
  • N. Rudraiah, R. M. Barron, M. Venkatachalappa, C. K. Subbaraya, “ Effect of a magnetic field on free convection in a rectangular enclosure,” Int. J. Engng. Sci., 33, 1075-1084, 1995.
  • N.M. Al-Najem, K.M. Khanafer, M.M. El-Refaee, “Numerical study of laminar natural convection in tilted enclosure with transverse magnetic field,” International Journal of Numerical Methods for Heat & Fluid Flow, 8 , 651–672, 1998.
  • M. C. Ece, E. Büyük, “Natural-convection flow under a magnetic field in an inclined rectangular enclosure heated and cooled on adjacent walls,” Fluid Dynamics Research, 38, 564-590, 2006.
  • M. Sathiyamoorthy, A. J. Chamkha, “Natural convection flow under magnetic field in a square cavity for uniformly (or) linearly heated adjacent walls,” International Journal of Numerical Methods for Heat & Fluid Flow, 22, 677-698, 2012.
  • M. Sathiyamoorthy, A. J. Chamkha, “Effect of magnetic field on natural convection flow in a liquid gallium filled square cavity for linearly heated side wall(s),” International Journal of Thermal Sciences, 49, 1856-1865, 2010.
  • M. Bhuvaneswari, S. Sivasankaran Y. J Kim, “Magneto-convection in a square enclosure with sinusoidal temperature distributions on both side walls,” Numerical Heat Transfer, Part A, 59,167-184, 2011.
  • M. Hasanuzzaman, H. F. Öztop, M.M. Rahman, N.A. Rahim, R. Saidur Y. Varol, “Magnetohydrodynamic natural convection in trapezoidal cavities,” Int. Communications in Heat and Mass Transfer, 39, 1384-1394,2012.
  • M.S. Hossain, M.A. Alim, “MHD free convection within trapezoidal cavity with non-uniformly heated bottom wall,” International Journal of Heat and Mass Transfer, 69, 327-336, 2014.
  • M. Sheikholeslami, I. Hashim, S. Soleimani, “Numerical investigation of the effect of magnetic field on natural convection in a curved-shape enclosure,” Mathematical Problems in Engineering, 2013, 1-10, 2013.
  • A. Sahi, D. Sadaoui, N. Sadoun A. Djerrada, “Effects of magnetic field on natural convection heat transfer in a T-shaped cavity,” Mechanics & Industry, 18, 1-14, 2017.
  • A. Jahanbakhshi, A. A. Nadooshan, M. Bayareh, “Magnetic field effects on natural convection flow of a non-Newtonian fluid in an L-shaped enclosure,” Journal of Thermal Analysis and Calorimetry, 133, 1-10, 2018.
  • A. A. Mohamad, I. Sezai, “Natural convection In C-shaped thermosyphone,” Numerical Heat Transfer, Part A, 32, 311-323, 1997.
  • M. Izadi, R. Mohebbi, A. Chamkha, “Effects of cavity and heat source aspect ratios on natural convection of a nanofluid in a C-shaped cavity using Lattice Boltzmann method,” International Journal of Numerical Methods for Heat & Fluid Flow, 28, 1930-1955, 2018.
  • M. A. Mansour, M. A. Bakeir, A. Chamkha, “Natural convection inside a C-shaped nanofluid-filled enclosure with localized heat sources,” International Journal of Numerical Methods for Heat & Fluid Flow, 24, 1954 – 1978, 2014.
  • A. Yadollahi, A. Khalesidoost, A. Kasaeipoor, M. Hatami, D. Jing, “Physical investigation on silver-water nanofluid natural convection for an F-shaped cavity under the magnetic field effects,” Eur. Phys. J. Plus, 132, 340-3503, 2017.
  • B. Ghasemi, “Magnetohydrodynamic natural convection of nanofluids in U-shaped enclosures,” Numerical Heat Transfer, Part A, 63, 473-487, 2013.
  • M. Bayareh, M. A. Kianfar, A. Kasaeipoor, “Mixed convection heat transfer of water-alumina nanofluid in an inclined and baffled C-shaped enclosure,” Journal of Heat and Mass Transfer Research, 5, 129-138, 2018.
  • S.M. Shavik, M.N. Hassan, A.K.M. Morshed, M.Q. Islam, “Natural convection and entropy generation in a square inclined cavity with differetially heated vertical walls,” Procedia Engineering, 90, 557-562, 2014.
  • S. Parvin, A. Chamkha, “An analysis on free convection flow, heat transfer and entropy generation in an odd-shaped cavity filled with nanofluid,” International Communications in Heat and Mass Transfer, 54, 8–17, 2014.
  • A. Chamkha, F. Selimefendigil, H. Oztop, “MHD mixed convection and entropy generation in a lid-driven triangular cavity for various electrical conductivity models,” Entropy, 20, 1-17, 2018.
  • C. C. Cho, “Heat transfer and entropy generation of mixed convection flow in Cu-water nanofluid-filled lid-driven cavity with wavy surface,” International Journal of Heat and Mass Transfer, 119, 163–174, 2018.
  • H. Khakrah, P. Hooshmand, D. Ross, M. Jamshidian, “Numerical analysis of free convection and entropy generation in a cavity using compact finite-difference lattice Boltzmann method,” International Journal of Numerical Methods for Heat & Fluid Flow, 30, 977-995, 2020.
  • S.V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, New York, 1980.
  • R. Iwatsu, J. M. Hyun, K. Kuwahara, “Liquid mixed convection in a driven cavity with a stable vertical temperature gradient,” Int. J. Heat Mass Transfer, 36, 1601-1608, 1993.
  • S. Mojumder, S. Saha, S. Saha, M.A.H. Mamun, “Effect of magnetic field on natural convection in a C-shaped cavity filled with ferrofluid,” Procedia Engineering, 105, 96-104, 2015.

MHD Mixed Convection and Entropy Generation in a C-Shaped Enclosure Filled with an Electrically Conducting Fluid

Year 2021, Volume: 24 Issue: 4, 1 - 15, 01.12.2021

Rabah Bouchaır Abderrahim Bourouıs Abdeslam Omara

https://doi.org/10.5541/ijot.860595

Abstract

Magnetohydrodynamic (MHD) mixed convection and entropy generation in a C-shaped cavity filled by an electrically conducting fluid are investigated numerically using the finite volume method and the SIMPLE algorithm. In this work, we focus on the effect of the magnetic field on the characteristics of fluid flow, heat transfer and entropy generation for various values of Richardson number (Ri = 0.1, 1 and 10), Hartmann number (0 ≤ Ha ≤ 200), tilting angle (α); ranging from -45° to +45°, and aspect ratio (AR = 0.3, 0.5 and 0.7). The results show an increase in the average Nusselt number and the entropy generation by increasing the aspect ratio (AR), whereas they decrease when Ha number increases, independently of α and Ri. At high values of Ha number, the conduction state is the dominant mode of heat transfer regardless of Ri, AR and α. Moreover, the total entropy generation is mainly due to the irreversibility of heat transfer whatever the control parameters are.

Keywords

Mixed convection C-shaped enclosure magneto-hydrodynamic electrically conducting fluid finite volume method

References

  • K. H. Hameed, H. A. Farooq, M. Hatami, D. Jing, “Effect of two baffles on MHD natural convection in U-shape superposed by solid nanoparticle having different shapes,” Journal of Applied and Computational Mechanics, 6, 1200-1209, 2020.
  • Y. Menni, A. Azzi, A. J. Chamkha, “A review of solar energy collectors: models and applications,” Journal of Applied and Computational Mechanics, 4, 375-401, 2018.
  • G.M. Oreper, J. Szekely, “The effect of an externally imposed magnetic field on buoyancy driven flow in a rectangular cavity,” Journal of Crystal Growth, 64, 505-515, 1983.
  • H. Ozoe, E. Maruo, “Magnetic and gravitational natural convection of melt silicon-tow-dimensional numerical computations for the rate of heat transfer,” JSME International Journal, 30,774-784, 1987.
  • J. P. Garandet, T. Alboussiere, “Buoyancy driven convection in a rectangular enclosure with a transverse magnetic field,” Int. J. Heat Mass Transfer,” 35, 741-748, 1992.
  • K. Okada, H. Ozoe, “Experimental heat transfer rates of natural convection of molten gallium suppressed under an external magnetic field in either the X,Y, or Z direction,” Journal of Heat Transfer, 114, 107-114, 1992.
  • A. F. Emery, “The effect of a magnetic field upon the free convection of a conducting fluid,” Journal of Heat Transfer, 85, 119-124, 1963.
  • M. Venkatachalappa, C. K. Subbaraya, “Natural convection in a rectangular enclosure in the presence of a magnetic field with uniform heat flux from the side walls,” Acta Mechanica, 96, 13-26, 1993.
  • S. Alchaar, P. Vasseur, E. Bilgen, “Natural convection heat transfer in a rectangular enclosure with a transverse magnetic field,” Journal of Heat Transfer, 117, 668-673, 1995.
  • N. Rudraiah, R. M. Barron, M. Venkatachalappa, C. K. Subbaraya, “ Effect of a magnetic field on free convection in a rectangular enclosure,” Int. J. Engng. Sci., 33, 1075-1084, 1995.
  • N.M. Al-Najem, K.M. Khanafer, M.M. El-Refaee, “Numerical study of laminar natural convection in tilted enclosure with transverse magnetic field,” International Journal of Numerical Methods for Heat & Fluid Flow, 8 , 651–672, 1998.
  • M. C. Ece, E. Büyük, “Natural-convection flow under a magnetic field in an inclined rectangular enclosure heated and cooled on adjacent walls,” Fluid Dynamics Research, 38, 564-590, 2006.
  • M. Sathiyamoorthy, A. J. Chamkha, “Natural convection flow under magnetic field in a square cavity for uniformly (or) linearly heated adjacent walls,” International Journal of Numerical Methods for Heat & Fluid Flow, 22, 677-698, 2012.
  • M. Sathiyamoorthy, A. J. Chamkha, “Effect of magnetic field on natural convection flow in a liquid gallium filled square cavity for linearly heated side wall(s),” International Journal of Thermal Sciences, 49, 1856-1865, 2010.
  • M. Bhuvaneswari, S. Sivasankaran Y. J Kim, “Magneto-convection in a square enclosure with sinusoidal temperature distributions on both side walls,” Numerical Heat Transfer, Part A, 59,167-184, 2011.
  • M. Hasanuzzaman, H. F. Öztop, M.M. Rahman, N.A. Rahim, R. Saidur Y. Varol, “Magnetohydrodynamic natural convection in trapezoidal cavities,” Int. Communications in Heat and Mass Transfer, 39, 1384-1394,2012.
  • M.S. Hossain, M.A. Alim, “MHD free convection within trapezoidal cavity with non-uniformly heated bottom wall,” International Journal of Heat and Mass Transfer, 69, 327-336, 2014.
  • M. Sheikholeslami, I. Hashim, S. Soleimani, “Numerical investigation of the effect of magnetic field on natural convection in a curved-shape enclosure,” Mathematical Problems in Engineering, 2013, 1-10, 2013.
  • A. Sahi, D. Sadaoui, N. Sadoun A. Djerrada, “Effects of magnetic field on natural convection heat transfer in a T-shaped cavity,” Mechanics & Industry, 18, 1-14, 2017.
  • A. Jahanbakhshi, A. A. Nadooshan, M. Bayareh, “Magnetic field effects on natural convection flow of a non-Newtonian fluid in an L-shaped enclosure,” Journal of Thermal Analysis and Calorimetry, 133, 1-10, 2018.
  • A. A. Mohamad, I. Sezai, “Natural convection In C-shaped thermosyphone,” Numerical Heat Transfer, Part A, 32, 311-323, 1997.
  • M. Izadi, R. Mohebbi, A. Chamkha, “Effects of cavity and heat source aspect ratios on natural convection of a nanofluid in a C-shaped cavity using Lattice Boltzmann method,” International Journal of Numerical Methods for Heat & Fluid Flow, 28, 1930-1955, 2018.
  • M. A. Mansour, M. A. Bakeir, A. Chamkha, “Natural convection inside a C-shaped nanofluid-filled enclosure with localized heat sources,” International Journal of Numerical Methods for Heat & Fluid Flow, 24, 1954 – 1978, 2014.
  • A. Yadollahi, A. Khalesidoost, A. Kasaeipoor, M. Hatami, D. Jing, “Physical investigation on silver-water nanofluid natural convection for an F-shaped cavity under the magnetic field effects,” Eur. Phys. J. Plus, 132, 340-3503, 2017.
  • B. Ghasemi, “Magnetohydrodynamic natural convection of nanofluids in U-shaped enclosures,” Numerical Heat Transfer, Part A, 63, 473-487, 2013.
  • M. Bayareh, M. A. Kianfar, A. Kasaeipoor, “Mixed convection heat transfer of water-alumina nanofluid in an inclined and baffled C-shaped enclosure,” Journal of Heat and Mass Transfer Research, 5, 129-138, 2018.
  • S.M. Shavik, M.N. Hassan, A.K.M. Morshed, M.Q. Islam, “Natural convection and entropy generation in a square inclined cavity with differetially heated vertical walls,” Procedia Engineering, 90, 557-562, 2014.
  • S. Parvin, A. Chamkha, “An analysis on free convection flow, heat transfer and entropy generation in an odd-shaped cavity filled with nanofluid,” International Communications in Heat and Mass Transfer, 54, 8–17, 2014.
  • A. Chamkha, F. Selimefendigil, H. Oztop, “MHD mixed convection and entropy generation in a lid-driven triangular cavity for various electrical conductivity models,” Entropy, 20, 1-17, 2018.
  • C. C. Cho, “Heat transfer and entropy generation of mixed convection flow in Cu-water nanofluid-filled lid-driven cavity with wavy surface,” International Journal of Heat and Mass Transfer, 119, 163–174, 2018.
  • H. Khakrah, P. Hooshmand, D. Ross, M. Jamshidian, “Numerical analysis of free convection and entropy generation in a cavity using compact finite-difference lattice Boltzmann method,” International Journal of Numerical Methods for Heat & Fluid Flow, 30, 977-995, 2020.
  • S.V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, New York, 1980.
  • R. Iwatsu, J. M. Hyun, K. Kuwahara, “Liquid mixed convection in a driven cavity with a stable vertical temperature gradient,” Int. J. Heat Mass Transfer, 36, 1601-1608, 1993.
  • S. Mojumder, S. Saha, S. Saha, M.A.H. Mamun, “Effect of magnetic field on natural convection in a C-shaped cavity filled with ferrofluid,” Procedia Engineering, 105, 96-104, 2015.
There are 34 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Regular Original Research Article
Authors

Rabah Bouchaır This is me

Abderrahim Bourouıs

Abdeslam Omara This is me

Publication Date December 1, 2021
Published in Issue Year 2021 Volume: 24 Issue: 4

Cite

APA Bouchaır, R., Bourouıs, A., & Omara, A. (2021). MHD Mixed Convection and Entropy Generation in a C-Shaped Enclosure Filled with an Electrically Conducting Fluid. International Journal of Thermodynamics, 24(4), 1-15. https://doi.org/10.5541/ijot.860595
AMA Bouchaır R, Bourouıs A, Omara A. MHD Mixed Convection and Entropy Generation in a C-Shaped Enclosure Filled with an Electrically Conducting Fluid. International Journal of Thermodynamics. December 2021;24(4):1-15. doi:10.5541/ijot.860595
Chicago Bouchaır, Rabah, Abderrahim Bourouıs, and Abdeslam Omara. “MHD Mixed Convection and Entropy Generation in a C-Shaped Enclosure Filled With an Electrically Conducting Fluid”. International Journal of Thermodynamics 24, no. 4 (December 2021): 1-15. https://doi.org/10.5541/ijot.860595.
EndNote Bouchaır R, Bourouıs A, Omara A (December 1, 2021) MHD Mixed Convection and Entropy Generation in a C-Shaped Enclosure Filled with an Electrically Conducting Fluid. International Journal of Thermodynamics 24 4 1–15.
IEEE R. Bouchaır, A. Bourouıs, and A. Omara, “MHD Mixed Convection and Entropy Generation in a C-Shaped Enclosure Filled with an Electrically Conducting Fluid”, International Journal of Thermodynamics, vol. 24, no. 4, pp. 1–15, 2021, doi: 10.5541/ijot.860595.
ISNAD Bouchaır, Rabah et al. “MHD Mixed Convection and Entropy Generation in a C-Shaped Enclosure Filled With an Electrically Conducting Fluid”. International Journal of Thermodynamics 24/4 (December 2021), 1-15. https://doi.org/10.5541/ijot.860595.
JAMA Bouchaır R, Bourouıs A, Omara A. MHD Mixed Convection and Entropy Generation in a C-Shaped Enclosure Filled with an Electrically Conducting Fluid. International Journal of Thermodynamics. 2021;24:1–15.
MLA Bouchaır, Rabah et al. “MHD Mixed Convection and Entropy Generation in a C-Shaped Enclosure Filled With an Electrically Conducting Fluid”. International Journal of Thermodynamics, vol. 24, no. 4, 2021, pp. 1-15, doi:10.5541/ijot.860595.
Vancouver Bouchaır R, Bourouıs A, Omara A. MHD Mixed Convection and Entropy Generation in a C-Shaped Enclosure Filled with an Electrically Conducting Fluid. International Journal of Thermodynamics. 2021;24(4):1-15.
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