THERMAL SCIENCE

International Scientific Journal

Redouane Nouri

,

Mourad Kaddiri

,

Youssef Tizakast

,

Hamza Daghab

NON-NEWTONIAN NATURAL CONVECTION IN A SQUARE BOX SUBMITTED TO HORIZONTAL HEAT FLUX AND MAGNETIC FIELD

ABSTRACT
The current work numerically investigates free convection in a square box filled with a non-Newtonian conductive fluid, which is numerically analyzed and is subjected to a steady heat flux at the normal walls, while the horizontal walls are thought of as adiabatic. To examine the impacts of the regulating parameters, including Rayleigh number, behavior index, n, and Hartmann number, on fluid-flow and heat transfer, the governing equations are solved numerically by applying the finite volume method. The results are shown and analyzed in terms of streamlines, isotherms, flow intensity, medium Nusselt, and velocity profiles.
KEYWORDS
natural convection, non-Newtonian fluids, finite volume method, magnetic field
PAPER SUBMITTED: 2023-10-30
PAPER REVISED: 2024-01-24
PAPER ACCEPTED: 2024-02-01
PUBLISHED ONLINE: 2024-04-14
DOI REFERENCE: https://doi.org/10.2298/TSCI231030079N
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 4, PAGES [3049 - 3061]
REFERENCES
  1. Alegria, P., et al., Experimental Development of a Novel Thermoelectric Generator without Moving Parts to Harness Shallow Hot Dry Rock Fields, Applied Thermal Engineering, 200 (2022), 117619
  2. Hejri, S., Malekshah, E. H., Cooling of an Electronic Processor Based on Numerical Analysis on Natural-Convection and Entropy Production over a Dissipating Fin Equipped with Copper Oxide/Water Nanofluid with Koo-Kleinstreuer-Li Model, Thermal Science and Engineering Progress, 23 (2021), 100916
  3. Vives, C., Perry, C., Effects of Magnetically Damped Convection during the Controlled Solidification of Metals and Alloys, International Journal of Heat and Mass Transfer, 30 (1987), 3, pp. 479-496
  4. de Vahl Davis, G., Natural-convection of Air in a Square Cavity: A Bench Mark Numerical Solution, International Journal for Numerical Methods in Fluids, 3 (1983), 3, pp. 249-264
  5. Ouertatani, N., et al., Numerical Simulation of 2-D Rayleigh-Benard Convection in an Enclosure, Comptes Rendus Mécanique, 336 (2008), 5, pp. 464-470
  6. Turan, O., et al., Laminar Natural-Convection of Bingham Fluids in a Square Enclosure with Differentially Heated Side Walls, Journal of Non-Newtonian Fluid Mechanics, 165 (2010), 15-16, pp. 901-913
  7. Turan, O., et al., Laminar Natural-Convection of Power-Law Fluids in a Square Enclosure with Differentially Heated Side Walls Subjected to Constant Temperatures, Journal of Non-Newtonian Fluid Mechanics, 166 (2011), 17-18, pp. 1049-1063
  8. Turan, O., et al., Laminar Natural-Convection of Power-Law Fluids in a Square Enclosure with Differentially Heated Sidewalls Subjected to Constant Wall Heat Flux, Journal of Heat Transfer, 134 (2012), 12
  9. Ozoe, H., Okada, K., The Effect of the Direction of the External Magnetic Field on the 3-D Natural-Convection in a Cubical Enclosure, International Journal of Heat and Mass Transfer, 32 (1989), 10, pp. 1939-1954
  10. Venkatachalappa, M., Subbaraya, C. K., Natural-Convection in a Rectangular Enclosure in the Presence of a Magnetic Field with Uniform Heat Flux from the Side Walls, Acta Mechanica, 96 (1993), 1, pp. 13-26
  11. Alchaar, S., P., et al., Natural-Convection Heat Transfer in a Rectangular Enclosure with a Transverse Magnetic Field, ASME Journal of Heat and Mass Transfer, 117 (1995), 3, pp. 668-673
  12. Al‐Najem, N. M., et al., Numerical Study of Laminar Natural-Convection in Tilted Enclosure with Transverse Magnetic Field, International Journal of Numerical Methods for Heat and Fluid-Flow, 8 (1998), 6, pp. 651-672
  13. Jalil, J. M., Al-Tae, K. A., The Effect of no Uniform Magnetic Field on Natural-Convection in an Enclosure, Numerical Heat Transfer - Part A: Applications, 51 (2007), 9, 899917
  14. Ece, M. C., Buyuk, E., Natural-Convection Flow under a Magnetic Field in an Inclined Square Enclosure Differentialy Heated on Adjacent Walls, Meccanica, 42 (2007), 5, pp. 435-449
  15. Ghasemi, B., et al., Magnetic Field Effect on Natural-Convection in A Nanofluid-Filled Square Enclosure, International Journal of Thermal Sciences, 50 (2011), 9, pp. 1748-1756
  16. Jalil, J. M., et al., Natural-Convection in an Enclosure with a Partially Active Magnetic Field, Numerical Heat Transfer - Part A: Applications, 64 (2013), 1, pp. 72-91
  17. Bondareva, N. S., Sheremet, M. A., Influence of Uniform Magnetic Field on Laminar Regimes of Natural-Convection in an Enclosure, Thermophysics and Aeromechanics, 22 (2015), 2, pp. 203-216
  18. Kefayati, G. H. R., Mesoscopic Simulation of Magnetic Field Effect on Natural-Convection of Power-Law Fluids in a Partially Heated Cavity, Chemical Engineering Research and Design, 94 (2015), Feb., pp. 337-354
  19. Dimitrienko, Y. I., Li, S., Numerical Simulation of MHD Natural-Convection Heat Transfer in a Square Cavity Filled with Carreau Fluids under Magnetic Fields in Different Directions, Computational and Applied Mathematics, 39 (2020), 4, pp. 1-26
  20. Liao, C.-C., et al., Analysis of Heat Transfer Transition of Thermally Driven Flow within a Square Enclosure under Effects of Inclined Magnetic Field, International Communications in Heat and Mass Transfer, 130 (2022), 105817
  21. Makayssi, T., et al., Numerical Study of Magnetic Field Effect on Natural-Convection Heat and Mass Transfers in a Square Enclosure Containing non-Newtonian Fluid and Submitted to Horizontal Temperature and Concentration Gradients, The European Physical Journal Plus, 136 (2021), 10, 996
  22. Kefayati, G. H. R., The FDLBM Simulation of Magnetic Field Effect on Natural-Convection of non-Newtonian Power-Law Fluids in a Linearly Heated Cavity, Powder Technology, 256 (2014), Apr., pp. 87-99
  23. Chtaibi, K., et al., Numerical Simulations of the Lorentz Force Effect on Thermal Convection in an Inclined Square Cavity Filled with a Non-Newtonian Fluid, Proceedings, 19th International Days on Thermal Science and Energy, Proceedings, Cham: Springer Nature Switzerland, Tangire, Marocco, 2022, pp. 196-206
  24. Nouri, R., et al., Rayleigh-Benard Convection Inside Square Cavities Filled with Thermodependent Non-Newtonian Fluids and Subjected to External Magnetic Field, Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 110 (2023),2, pp. 138-156
  25. Patankar, S., Heat Transfer and Fluid-Flow, Hemisphere, New York, USA, 1980
  26. Raghay, S., Hakim, A., Numerical Simulation of White-Metzner Fluid in a 4: 1 Contraction, International Journal for Numerical Methods in Fluids, 35 (2001), 5, pp. 559-573
  27. Doormaal, V., et al., Enhancements of the SIMPLE Method for Predicting Incompressible Fluid-Flows, Numerical Heat Transfer, 7 (1984), 2, pp. 147-163
  28. Patankar, S.V., Numerical Heat Transfer and Fluid-Flow, Hemisphere, Washington, DC, USA,1980
  29. Mohsen, P., et al., The Effect of a Magnetic Field on Buoyancy-Driven Convection in Differentially Heated Square Cavity, Proceedings, 14th Symposium on Electromagnetic Launch Technology, IEEE, Victoria, Canada, 2008
  30. Turan, O., et al., Laminar Natural-Convection of Power-Law Fluids in a Square Enclosure with Differentially Heated Side Walls Subjected to Constant Temperatures, Journal of Non-Newtonian Fluid Mechanics, 166 (2011), 17-18, pp. 1049-1063
  31. de Vahl Davis, G., IP0538 J., Natural-Convection in a Square Cavity: A Comparison Exercise, International Journal for Numerical Methods in Fluids, 3 (1983), 3, pp. 227-248
PDF VERSION [DOWNLOAD]
Non-newtonian natural convection in a square box submitted to horizontal heat flux and magnetic field

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence