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Numerical study of different conduction models for Al2O3-water nanofluid with variable properties inside a trapezoidal enclosure

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Abstract

Natural convection in enclosures containing nanofluids is important in physical and environmental applications. Different models for conduction have been developed because of the importance of this phenomenon in natural convection in enclosures. In this study, effects of conduction models of Chon, Corcione, Khanafer, and Koo and Kleinstreuer on the natural convection inside a trapezoidal enclosure with hot and cold walls are evaluated numerically. The enclosure contains Al2O3-water nanofluid with variable properties. Effects of the conduction models on fluid flow, natural convection, variations in volume fraction, and diameter of nanoparticles in the models, as well as the variations in the Rayleigh number, are examined. Results show that at Rayleigh numbers of 105 and 106, the maximum and minimum values of the average Nusselt number are obtained using the models of Khanafer and Chon, respectively. In all models, the average Nusselt number presents upward and downward trends when the volume fraction of nanoparticles increases but decreases when the diameter of the nanoparticles increases. At Ra = 105 in all models, as the volume fraction of nanoparticles increases, the nanofluid provides a higher average Nusselt number compared with the base fluid. By contrast, at Ra = 106, at volume fractions larger than 0.01 and using the model of Chon, the average Nusselt number of the nanofluid is lower compared with that of the base fluid.

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Authors and Affiliations

  1. Departement of Mechanical Engineering, University of Kashan, Kashan, Iran

    Ali Akbar Abbasian Arani, Ali Akbar Azemati & Mohammad Rezaee

  2. Department of Mechanical Engineering, Abadan Branch, Islamic Azad University, Abadan, Iran

    Ali Akbar Azemati

  3. Department of Chemical Engineering, Abadan Branch, Islamic Azad University, Abadan, Iran

    Behzad Shirkavand Hadavand

Authors
  1. Ali Akbar Abbasian Arani
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  2. Ali Akbar Azemati
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  3. Mohammad Rezaee
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  4. Behzad Shirkavand Hadavand
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Corresponding author

Correspondence to Behzad Shirkavand Hadavand.

Additional information

Recommended by Associate Editor Jun Sang Lee

Ali Akbar Abbasian Arani received B.Sc. and M.Sc. degrees from Sharif University of Technology, Tehran, Iran, in 1991 and 1994, respectively, and his Ph.D. degree from the University of Bordeaux 1, France, in 2006. He is currently Associate Professor in the Mechanical Engineering Department at the University of Kashan, Iran. His research interests include fluid mechanics and heat transfer, nanofluids and energy conversion.

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Arani, A.A.A., Azemati, A.A., Rezaee, M. et al. Numerical study of different conduction models for Al2O3-water nanofluid with variable properties inside a trapezoidal enclosure. J Mech Sci Technol 31, 2433–2441 (2017). https://doi.org/10.1007/s12206-017-0441-5

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  • DOI: https://doi.org/10.1007/s12206-017-0441-5

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