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Numerical Study of MHD Natural Convection inside a Cubical Cavity Loaded with Copper-Water Nanofluid by Using a Non-Homogeneous Dynamic Mathematical Model

Author

Listed:
  • Mohamed Sannad

    (National School of Applied Sciences, Ibn Zohr University, Agadir 1136, Morocco)

  • Ahmed Kadhim Hussein

    (Mechanical Engineering Department, College of Engineering, University of Babylon, Hilla 51001, Iraq)

  • Awatef Abidi

    (Physics Department, College of Sciences Abha, King Khalid University, Abha 61321, Saudi Arabia
    Research Laboratory of Metrology and Energy Systems, Energy Engineering Department, National Engineering School, Monastir University, Monastir 5033, Tunisia
    Higher School of Sciences and Technology of Hammam Sousse, Sousse University, Hammam Sousse 4011, Tunisia)

  • Raad Z. Homod

    (Department of Oil and Gas Engineering, Basrah University for Oil and Gas, Basrah 61019, Iraq)

  • Uddhaba Biswal

    (Department of Mathematics, National Institute of Technology Rourkela, Rourkela 769008, India)

  • Bagh Ali

    (Faculty of Computer Science and Information Technology, Superior University, Lahore 54000, Pakistan)

  • Lioua Kolsi

    (Department of Mechanical Engineering, College of Engineering, University of Hail, Hail 2440, Saudi Arabia
    Laboratory of Metrology and Energy Systems, Department of Energy Engineering, University of Monastir, Monastir 5000, Tunisia)

  • Obai Younis

    (Department of Mechanical Engineering, College of Engineering at Wadi Addwaser, Prince Sattam Bin Abdulaziz University, Wadi Addwaser 11991, Saudi Arabia
    Department of Mechanical Engineering, Faculty of Engineering, University of Khartoum, Khartoum 11111, Sudan)

Abstract

Free convective flow in a cubical cavity loaded with copper-water nanofluid was examined numerically by employing a non-homogeneous dynamic model, which is physically more realistic in representing nanofluids than homogenous ones. The cavity was introduced to a horizontal magnetic field from the left sidewall. Both the cavity’s vertical left and right sidewalls are preserved at an isothermal cold temperature (T c ). The cavity includes inside it four isothermal heating blocks in the middle of the top and bottom walls. The other cavity walls are assumed adiabatic. Simulations were performed for solid volume fraction ranging from (0 ≤ ϕ ≤ 0.06), Rayleigh number varied as (10 3 ≤ Ra ≤ 10 5 ), the Hartmann number varied as (0 ≤ Ha ≤ 60), and the diameter of nanoparticle varied as (10 nm ≤ d p ≤ 130 nm). It was found that at (d p = 10 nm), the average Nusselt number declines when Ha increases, whereas it increases as (Ra) and (ϕ) increase. Furthermore, the increasing impact of the magnetic field on the average Nusselt number is absent for (Ra = 10 3 ), and this can be seen for all values of (ϕ). However, when (d p ) is considered variable, the average Nusselt number was directly proportional to (Ra) and (ϕ) and inversely proportional to (d p ).

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:2072-:d:839463
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    References listed on IDEAS

    as
    1. Sheikholeslami, Mohsen & Bandpy, Mofid Gorji & Ashorynejad, Hamid Reza, 2015. "Lattice Boltzmann Method for simulation of magnetic field effect on hydrothermal behavior of nanofluid in a cubic cavity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 58-70.
    2. 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.
    3. Hussein, Ahmed Kadhim, 2015. "Applications of nanotechnology in renewable energies—A comprehensive overview and understanding," Renewable and Sustainable Energy Reviews, Elsevier, vol. 42(C), pages 460-476.
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    Cited by:

    1. Sardar Bilal & Imtiaz Ali Shah & Kaouther Ghachem & Abdelkarim Aydi & Lioua Kolsi, 2023. "Heat Transfer Enhancement of MHD Natural Convection in a Star-Shaped Enclosure, Using Heated Baffle and MWCNT–Water Nanofluid," Mathematics, MDPI, vol. 11(8), pages 1-18, April.

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