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Reseach Article

Numerical Investigation of Mixed Convection Heat Transfer of Nanofluid in a Lid Driven Square Cavity with Three Triangular Heating Blocks

by Zoubair Boulahia, Abderrahim Wakif, Rachid Sehaqui
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 143 - Number 6
Year of Publication: 2016
Authors: Zoubair Boulahia, Abderrahim Wakif, Rachid Sehaqui
10.5120/ijca2016910227

Zoubair Boulahia, Abderrahim Wakif, Rachid Sehaqui . Numerical Investigation of Mixed Convection Heat Transfer of Nanofluid in a Lid Driven Square Cavity with Three Triangular Heating Blocks. International Journal of Computer Applications. 143, 6 ( Jun 2016), 37-45. DOI=10.5120/ijca2016910227

@article{ 10.5120/ijca2016910227,
author = { Zoubair Boulahia, Abderrahim Wakif, Rachid Sehaqui },
title = { Numerical Investigation of Mixed Convection Heat Transfer of Nanofluid in a Lid Driven Square Cavity with Three Triangular Heating Blocks },
journal = { International Journal of Computer Applications },
issue_date = { Jun 2016 },
volume = { 143 },
number = { 6 },
month = { Jun },
year = { 2016 },
issn = { 0975-8887 },
pages = { 37-45 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume143/number6/25083-2016910227/ },
doi = { 10.5120/ijca2016910227 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:45:38.754325+05:30
%A Zoubair Boulahia
%A Abderrahim Wakif
%A Rachid Sehaqui
%T Numerical Investigation of Mixed Convection Heat Transfer of Nanofluid in a Lid Driven Square Cavity with Three Triangular Heating Blocks
%J International Journal of Computer Applications
%@ 0975-8887
%V 143
%N 6
%P 37-45
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The present investigation addressed mixed convection heat transfer of nanofluid in a lid driven square cavity with three triangular heating blocks. Finite volume discretization method with SIMPLE algorithm is employed for solving the two-dimensional Navier-Stokes and energy balance equations. The method used is validated against previous works. Two cases were considered depending on the position of three triangular heating blocks. Effects of pertinent parameters such as; position of triangular heating blocks, the Richardson number (0.1≤ Ri ≤ 100), the Prandtl number of the pure water (Pr = 6.2) and the volume fraction of nanoparticles (0 ≤ φ ≤ 0.05) on the flow and Nusselt number are investigated. The results of this study illustrate that, by reducing Richardson number and increasing the volume fraction of nanoparticles, the average Nusselt number increases. It is also found that there is an optimal position of triangular heating blocks where the heat transfer rate is maximized.

References
  1. M. Kalteh, K. Javaherdeh, T. Azarbarzin, Numerical solution of nanofluid mixed convection heat transfer in a lid-driven square cavity with a triangular heat source, Powder Technol. 253 (2014) 780–788..
  2. A.W. Islam, M.a.R. Sharif, E.S. Carlson, Mixed convection in a lid driven square cavity with an isothermally heated square blockage inside, Int. J. Heat Mass Transf. 55 (2012) 5244–5255.
  3. K. Khanafer, S.M. Aithal, Laminar mixed convection flow and heat transfer characteristics in a lid driven cavity with a circular cylinder, Int. J. Heat Mass Transf. 66 (2013) 200–209.
  4. H.F Oztop, I. Dagtekin, A. Bahloul, Comparison of position of a heated thin plate located in a cavity for natural convection, Int. Commun. Heat Mass Transfer 31 (2004) 121–132.
  5. Sheikholeslami M, Gorji-Bandpy M, Vajravelu K. Lattice Boltzmann simulation of magnetohydrodynamic natural convection heat transfer of Al2O3-water nanofluid in a horizontal cylindrical enclosure with an inner triangular cylinder. Int J Heat Mass Transfer 2015;80:16–25.
  6. M. El Abdallaoui, M. Hasnaoui and A. Amahmid, Numerical simulation of natural convection between a decentered triangular heating cylinder and a square outer cylinder filled with a pure fluid or a nanofluid using the lattice Boltzmann method, Powder Technol. 277 (2015) 193–205
  7. M. El Abdallaoui, M. Hasnaoui and A. Amahmid, Lattice-Boltzmann modeling of natural convection between a square outer cylinder and an inner isosceles triangular heating body, Num. Heat Transfer, Part A, vol. 66, pp. 1076-1096, 2014.
  8. H.F. Oztop, Z. Zhao, B. Yu, Fluid flow due to combined convection in lid-driven enclosure having circular body, Int. J. Heat Fluid Flow 30 (2009) 886–901.
  9. I. Pishkar, B. Ghasemi, Cooling enhancement of two fins in a horizontal channel by nanofluid mixed convection, Int. J. Therm. Sci. 59 (2012) 141–151.
  10. M. Corcione, Empirical correlating equations for predicting the effective thermal conductivity and dynamic viscosity of nanofluids, Energy Convers. Manag. 52 (2011) 789–793
  11. Z. Haddad, H.F. Oztop, E. Abu-Nada, A. Mataoui, A review on natural convective heat transfer of nanofluids, Renewable Sustainable Energy Rev. 16 (2012) 5363–5378.
  12. M. Corcione, Heat transfer features of buoyancy-driven nanofluids inside rectangular enclosures differentially heated at the sidewalls, Int. J. Therm. Sci. 49 (2010) 1536–1546.
  13. R. Iwatsu, J.M. Hyun, K. Kuwahara, Mixed convection in a driven cavity with a stable vertical temperature gradient, Int. J. Heat Mass Transfer 36 (1993) 1601–1608.
  14. H. Moumni, H. Welhezi, R. Djebali, E. Sediki, Accurate finite volume investigation of nanofluid mixed convection in two-sided lid driven cavity including discrete heat sources, Appl. Math. Model. (2014).
  15. C.L. Chen, S.C. Chang, C.K. Chen, C.K. Chang, Lattice boltzmann simulation for mixed convection of nanofluids in a square enclosure, Appl. Math. Model. 39 (2015) 2436–2451
  16. Z. Boulahia, A. Wakif, and R. Sehaqui, “Natural Convection Heat Transfer of the nanofluids in a Square Enclosure with an Inside Cold Obstacle,” International Journal of Innovation and Scientific Research, vol. 21, no. 2, pp. 367–375, April 2016
  17. M. Muthtamilselvan, D.H. Doh, Mixed convection of heat generating nanofluid in a lid-driven cavity with uniform and non-uniform heating of bottom wall, Appl. Math. Model. 38 (2014) 3164–3174.
  18. Z. Boulahia and R. Sehaqui, "Numerical Simulation of Natural Convection of Nanofluid in a Square Cavity Including a Square Heater", International Journal of Science and Research (IJSR), ijsr.net, Volume 4 Issue 12, December 2015, 1718 – 1722
  19. D.B. Spalding, A novel finite difference formulation for differential expressions involving both first and second derivatives, Int. J. Numer. Methods Eng. 4 (1972) 551–559.
  20. Z. Boulahia, A. Wakif, and R. Sehaqui, “Numerical Study of Mixed Convection of the Nanofluids in Two-Sided Lid-Driven Square Cavity with a Pair of Triangular Heating Cylinders,” Journal of Engineering, vol. 2016, Article ID 8962091, 8 pages, 2016.
  21. F.P. Incropera, D.P. DeWitt, Introduction to Heat Transfer, Wiley, New York, 2002.
  22. S.V. Patankar, Numerical Heat Transfer and Fluid Flow, McGraw-Hill, Washington, 1980.
Index Terms

Computer Science
Information Sciences

Keywords

Mixed convection Lid driven Cavity Triangular block Nanofluid.