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Effects of Non-Homogeneous Nanofluid Model on Natural Convection in a Square Cavity in the Presence of Conducting Solid Block and Corner Heater

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  • Ammar I. Alsabery

    (Refrigeration & Air-conditioning Technical Engineering Department, College of Technical Engineering, The Islamic University, Najaf 54001, Iraq
    School of Mathematical Sciences, Faculty of Science & Technology, Universiti Kebangsaan Malaysia, Bangi Selangor 43600, Malaysia)

  • Tahar Tayebi

    (Faculty of Sciences and Technology, Mohamed El Bachir El Ibrahimi University, Bordj Bou Arreridj, El-Anasser 34295, Algeria
    Energy Physics Laboratory, Department of Physics, Faculty of Science, Mentouri Brothers Constantine 1 University, Constantine 16261, Algeria)

  • Ali J. Chamkha

    (Department of Mechanical Engineering, Prince Sultan Endowment for Energy and the Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Saudi Arabia
    RAK Research and Innovation Center, American University of Ras Al Khaimah, P.O. Box 10021, Ras Al Khaimah 86416, UAE)

  • Ishak Hashim

    (School of Mathematical Sciences, Faculty of Science & Technology, Universiti Kebangsaan Malaysia, Bangi Selangor 43600, Malaysia)

Abstract

This study investigates numerically the effect of the two-phase nanofluid model due to natural convection within a square cavity along with the existence of a conducting solid block, and a corner heater using the finite difference method (FDM). The top horizontal wall is retained at a cold temperature that is fixed as constant, while the isothermal heater is positioned at the bottom left corner within the square cavity. The remaining fractions of the right vertical wall and the heated wall are set to be adiabatic. The water-based nanofluid, together with Al 2 O 3 nanoparticles, have been evaluated by determining the following parameters: the volume fraction of nanoparticles, thickness of solid block, Rayleigh number, and the solid block thermal conductivity. As a result, the comparative evaluation with outputs reported in publications and prior experimental works has pointed out exceptional agreement with the findings retrieved in this study. The experimental outcomes are graphically illustrated in terms of the average and local Nusselt numbers, isotherms, distribution of nanoparticles, and the streamlines. The findings indicate that an elevation of the thermal conductivity in blocks with a similar size successfully increases the transfer rate of heat, wherein the dominance of conduction has been observed.

Suggested Citation

  • Ammar I. Alsabery & Tahar Tayebi & Ali J. Chamkha & Ishak Hashim, 2018. "Effects of Non-Homogeneous Nanofluid Model on Natural Convection in a Square Cavity in the Presence of Conducting Solid Block and Corner Heater," Energies, MDPI, vol. 11(10), pages 1-27, September.
  • Handle: RePEc:gam:jeners:v:11:y:2018:i:10:p:2507-:d:171194
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    References listed on IDEAS

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    1. Azharul Karim & M. Masum Billah & M. T. Talukder Newton & M. Mustafizur Rahman, 2017. "Influence of the Periodicity of Sinusoidal Boundary Condition on the Unsteady Mixed Convection within a Square Enclosure Using an Ag–Water Nanofluid," Energies, MDPI, vol. 10(12), pages 1-21, December.
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    Cited by:

    1. Mohamed Sannad & Ahmed Kadhim Hussein & Awatef Abidi & Raad Z. Homod & Uddhaba Biswal & Bagh Ali & Lioua Kolsi & Obai Younis, 2022. "Numerical Study of MHD Natural Convection inside a Cubical Cavity Loaded with Copper-Water Nanofluid by Using a Non-Homogeneous Dynamic Mathematical Model," Mathematics, MDPI, vol. 10(12), pages 1-28, June.
    2. Husain, Shahid & Adil, Md & Arqam, Mohammad & Shabani, Bahman, 2021. "A review on the thermal performance of natural convection in vertical annulus and its applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 150(C).
    3. Muhammad Adil Sadiq & Ammar I. Alsabery & Ishak Hashim, 2018. "MHD Mixed Convection in a Lid-Driven Cavity with a Bottom Trapezoidal Body: Two-Phase Nanofluid Model," Energies, MDPI, vol. 11(11), pages 1-19, October.
    4. Al-Rashed, Abdullah A.A.A., 2019. "Optimization of heat transfer and pressure drop of nano-antifreeze using statistical method of response surface methodology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 531-542.

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