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Impacts of Non-Uniform Border Temperature Variations on Time-Dependent Nanofluid Free Convection within a Trapezium: Buongiorno’s Nanofluid Model

Author

Listed:
  • Cornelia Revnic

    (Faculty of Pharmacy, University of Medicine and Pharmacy, 400012 Cluj-Napoca, Romania)

  • Mohammad Ghalambaz

    (Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam
    Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam)

  • Teodor Groşan

    (Department of Applied Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania)

  • Mikhail Sheremet

    (Department of Theoretical Mechanics, Tomsk State University, 634050 Tomsk, Russia)

  • Ioan Pop

    (Department of Applied Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania)

Abstract

The present study develops the influence of inclined border temperature variations on the isotherms, streamlines, and isoconcentrations for unsteady free convection in a trapezoidal region filled with the water-based nanofluid. The considered mathematical nanofluid approach was formulated based on the Buongiorno’s model. The set of governing partial differential equations formulated using non-dimensional primitive variables such as velocity, pressure, temperature, and nanoparticles concentration volume fraction was solved numerically using the finite element method for various magnitudes of control characteristics. It was revealed that control characteristics affected the liquid circulation and energy transport coefficients. The Nusselt number is a growing function of wave number, amplitude, and the Rayleigh number.

Suggested Citation

  • Cornelia Revnic & Mohammad Ghalambaz & Teodor Groşan & Mikhail Sheremet & Ioan Pop, 2019. "Impacts of Non-Uniform Border Temperature Variations on Time-Dependent Nanofluid Free Convection within a Trapezium: Buongiorno’s Nanofluid Model," Energies, MDPI, vol. 12(8), pages 1-14, April.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:8:p:1461-:d:223733
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    References listed on IDEAS

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    1. Rathish Kumar, B.V. & Kumar, Bipin, 2004. "Parallel computation of natural convection in trapezoidal porous enclosures," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 65(3), pages 221-229.
    2. Godson, Lazarus & Raja, B. & Mohan Lal, D. & Wongwises, S., 2010. "Enhancement of heat transfer using nanofluids--An overview," Renewable and Sustainable Energy Reviews, Elsevier, vol. 14(2), pages 629-641, February.
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