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Mixed convection in a lid-driven square cavity filled by a nanofluid: Buongiorno's mathematical model

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  • Sheremet, M.A.
  • Pop, I.

Abstract

Steady laminar mixed convection inside a lid-driven square cavity filled with water based nanofluid is studied numerically. The cavity is subjected to the moving upper and lower walls. The top and bottom moving walls are maintained at constant temperatures and nanoparticle volume fractions. The vertical walls of the cavity are thermally insulated. The appliance of the numerical analysis was finite difference method with upwind scheme treatments of the convective terms included in the momentum and energy equations. The governing parameters are the Reynolds, Grashof, Prandtl and Lewis numbers along with the buoyancy-ratio, the Brownian motion, the thermophoresis and the moving parameters. The effects of these parameters on the local Nusselt, local Sherwood, the mean Nusselt and Sherwood numbers, as well as on the developments of streamlines, isotherms and isoconcentrations have been analyzed. The results have shown that these parameters have substantial effects on the flow and heat transfer characteristics. The comparison with known results from the open literature shows excellent agreement.

Suggested Citation

  • Sheremet, M.A. & Pop, I., 2015. "Mixed convection in a lid-driven square cavity filled by a nanofluid: Buongiorno's mathematical model," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 792-808.
    • Handle: RePEc:eee:apmaco:v:266:y:2015:i:c:p:792-808
    DOI: 10.1016/j.amc.2015.05.145
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    References listed on IDEAS

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    1. Radu Dan Rugescu (ed.), 2013. "Application of Solar Energy," Books, IntechOpen, number 2655.
    2. Saidur, R. & Leong, K.Y. & Mohammad, H.A., 2011. "A review on applications and challenges of nanofluids," Renewable and Sustainable Energy Reviews, Elsevier, vol. 15(3), pages 1646-1668, April.
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    Cited by:

    1. Pal, S.K. & Bhattacharyya, S. & Pop, I., 2019. "A numerical study on non-homogeneous model for the conjugate-mixed convection of a Cu-water nanofluid in an enclosure with thick wavy wall," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 219-234.
    2. Sheikholeslami, M. & Vajravelu, K., 2017. "Nanofluid flow and heat transfer in a cavity with variable magnetic field," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 272-282.
    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. Mohamed F. El-Amin & Usama Khaled & Abderrahmane Beroual, 2018. "Numerical Study of the Magnetic Field Effect on Ferromagnetic Fluid Flow and Heat Transfer in a Square Porous Cavity," Energies, MDPI, vol. 11(11), pages 1-21, November.
    5. Goutam Saha & Ahmed A.Y. Al-Waaly & Manosh C. Paul & Suvash C. Saha, 2023. "Heat Transfer in Cavities: Configurative Systematic Review," Energies, MDPI, vol. 16(5), pages 1-53, February.
    6. Hatem Gasmi & Umair Khan & Aurang Zaib & Anuar Ishak & Sayed M. Eldin & Zehba Raizah, 2022. "Analysis of Mixed Convection on Two-Phase Nanofluid Flow Past a Vertical Plate in Brinkman-Extended Darcy Porous Medium with Nield Conditions," Mathematics, MDPI, vol. 10(20), pages 1-17, October.
    7. Amzad Hossain & Md. Mamun Molla & Md. Kamrujjaman & Muhammad Mohebujjaman & Suvash C. Saha, 2023. "MHD Mixed Convection of Non-Newtonian Bingham Nanofluid in a Wavy Enclosure with Temperature-Dependent Thermophysical Properties: A Sensitivity Analysis by Response Surface Methodology," Energies, MDPI, vol. 16(11), pages 1-39, May.

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