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Free convection in a porous wavy cavity filled with a nanofluid using Buongiorno's mathematical model with thermal dispersion effect

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  • Sheremet, Mikhail A.
  • Revnic, Cornelia
  • Pop, Ioan

Abstract

A numerical study of natural convection inside a porous wavy cavity filled with a nanofluid under the effect of thermal dispersion has been carried out using the Forchheimer–Buongiorno approach. The left boundary of the cavity is a wavy isothermal wall while the rest are flat isothermal walls. All boundaries are assumed to be impermeable to the base fluid and nanoparticles. The governing equations formulated in dimensionless stream function, temperature and nanoparticle volume fraction variables have been solved using implicit finite difference schemes of the second order accuracy. The effects of the Rayleigh number, undulation number, thermal dispersion parameter and flow inertia parameter on the average Nusselt number along the hot bottom wall, as well as on the streamlines, isotherms and isoconcentrations have been analyzed. It has been revealed the heat transfer enhancement with Rayleigh number, undulation number and dispersion parameter. While convective flow is attenuated with a growth of undulation number, dispersion parameter and flow inertia parameter. More essential homogenization of nanoparticles distribution inside the cavity occurs with an increase in Rayleigh number and a decrease in undulation number.

Suggested Citation

  • Sheremet, Mikhail A. & Revnic, Cornelia & Pop, Ioan, 2017. "Free convection in a porous wavy cavity filled with a nanofluid using Buongiorno's mathematical model with thermal dispersion effect," Applied Mathematics and Computation, Elsevier, vol. 299(C), pages 1-15.
    • Handle: RePEc:eee:apmaco:v:299:y:2017:i:c:p:1-15
    DOI: 10.1016/j.amc.2016.11.032
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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. Haddad, Zoubida & Oztop, Hakan F. & Abu-Nada, Eiyad & Mataoui, Amina, 2012. "A review on natural convective heat transfer of nanofluids," Renewable and Sustainable Energy Reviews, Elsevier, vol. 16(7), pages 5363-5378.
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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. Aly, Abdelraheem M. & Raizah, Z.A.S., 2020. "Incompressible smoothed particle hydrodynamics simulation of natural convection in a nanofluid-filled complex wavy porous cavity with inner solid particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    3. S. A. M. Mehryan & Kaamran Raahemifar & Leila Sasani Gargari & Ahmad Hajjar & Mohamad El Kadri & Obai Younis & Mohammad Ghalambaz, 2021. "Latent Heat Phase Change Heat Transfer of a Nanoliquid with Nano–Encapsulated Phase Change Materials in a Wavy-Wall Enclosure with an Active Rotating Cylinder," Sustainability, MDPI, vol. 13(5), pages 1-20, March.
    4. Khademi, Ramin & Razminia, Abolhassan & Shiryaev, Vladimir I., 2020. "Conjugate-mixed convection of nanofluid flow over an inclined flat plate in porous media," Applied Mathematics and Computation, Elsevier, vol. 366(C).
    5. Azizul, Fatin M. & Alsabery, Ammar I. & Hashim, Ishak & Chamkha, Ali J., 2021. "Impact of heat source on combined convection flow inside wavy-walled cavity filled with nanofluids via heatline concept," Applied Mathematics and Computation, Elsevier, vol. 393(C).
    6. Jawali C. Umavathi & Mikhail A. Sheremet, 2023. "Linear Model for Two-Layer Porous Bed Suspended with Nano Sized Particles," Energies, MDPI, vol. 16(4), pages 1-24, February.
    7. Yu, Qiang, 2021. "A decoupled wavelet approach for multiple physical flow fields of binary nanofluid in double-diffusive convection," Applied Mathematics and Computation, Elsevier, vol. 404(C).

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