Effect of Nanofluid on Heat Transfer Enhancement for Mixed Convection Flow Over a Corrugated Surface

Nepal Chandra Roy 1  and Sadia Siddiqa 2
  • 1 Department of Mathematics, University of Dhaka, Dhaka, Bangladesh
  • 2 Department of Mathematics, COMSATS University Islamabad (CUI), Attock Campus, Attock, Pakistan
Nepal Chandra Roy and Sadia Siddiqa
  • Corresponding author
  • Department of Mathematics, 66715COMSATS University Islamabad (CUI), Attock Campus, Attock, Pakistan
  • Email
  • Search for other articles:
  • degruyter.comGoogle Scholar

Abstract

A mathematical model for mixed convection flow of a nanofluid along a vertical wavy surface has been studied. Numerical results reveal the effects of the volume fraction of nanoparticles, the axial distribution, the Richardson number, and the amplitude/wavelength ratio on the heat transfer of Al2O3-water nanofluid. By increasing the volume fraction of nanoparticles, the local Nusselt number and the thermal boundary layer increases significantly. In case of Ri=1.0, the inclusion of 2 % and 5 % nanoparticles in the pure fluid augments the local Nusselt number, measured at the axial position 6.0, by 6.6 % and 16.3 % for a flat plate and by 5.9 % and 14.5 %, and 5.4 % and 13.3 % for the wavy surfaces with an amplitude/wavelength ratio of 0.1 and 0.2, respectively. However, when the Richardson number is increased, the local Nusselt number is found to increase but the thermal boundary layer decreases. For small values of the amplitude/wavelength ratio, the two harmonics pattern of the energy field cannot be detected by the local Nusselt number curve, however the isotherms clearly demonstrate this characteristic. The pressure leads to the first harmonic, and the buoyancy, diffusion, and inertia forces produce the second harmonic.

  • [1]

    S. G. Moulic and L. S. Yao, Mixed convection along a wavy surface, Trans. ASME J. Heat Transf. 111 (1989), 974–979.

    • Crossref
    • Export Citation
  • [2]

    L. S. Yao, Two-dimensional mixed convection along a flat plate, Trans. ASME J. Heat Transf. 109 (1987), 440–445.

    • Crossref
    • Export Citation
  • [3]

    S. H. Bhavnani and A. E. Bergles, Natural convection heat transfer from sinusoidal wavy surfaces, Wärme- und Stoffübertragung 26 (1991), 341–349.

    • Crossref
    • Export Citation
  • [4]

    L. S. Yao, Natural convection along a vertical wavy surface, Trans. ASME J. Heat Transf. 105 (1983), 465–468.

    • Crossref
    • Export Citation
  • [5]

    S. G. Moulic and L. S. Yao, Natural convection along a vertical wavy surface with uniform heat flux, Trans. ASME J. Heat Transf. 111 (1989), 1106–1108.

    • Crossref
    • Export Citation
  • [6]

    I. Pop and T. Y. Na, Natural convection from a wavy cone, Appl. Sci. Res. 54 (1995), 125–136.

    • Crossref
    • Export Citation
  • [7]

    I. Pop and T. Y. Na, Natural convection over a vertical wavy frustum of a cone, J. Nonlinear Mech. 34 (1999), 925–934.

    • Crossref
    • Export Citation
  • [8]

    C. K. Chen and Y. K. Yang, Entropy generation of radiation effect on laminar mixed convection along a wavy surface, Heat Mass Transf. 47 (2011), 385–395.

    • Crossref
    • Export Citation
  • [9]

    L. S. Yao, Natural convection along a vertical complex wavy surface, Int. J. Heat Mass Transf. 49 (2006), 281–286.

    • Crossref
    • Export Citation
  • [10]

    S. Siddiqa, N. Begum, M. A. Hossain and R. S. R. Gorla, Numerical solutions of free convection flow of nanofluids along a radiating sinusoidal wavy surface, Int. J. Heat Mass Transf. 126 (2018), 899–907.

    • Crossref
    • Export Citation
  • [11]

    M. Hassan, M. Marin, A. Alsharif and R. Ellahi, Convective heat transfer flow of nanofluid in a porous medium over wavy surface, Phys. Lett. A 382 (2018), no. 38, 2749–2753.

    • Crossref
    • Export Citation
  • [12]

    D. Srinivasacharya and P. V. Kumar, Effect of thermal radiation on mixed convection of a nanofluid from an inclined wavy surface embedded in a non-Darcy porous medium with wall heat flux, Propuls. Power Res. 7 (2018), no. 2, 147–157.

    • Crossref
    • Export Citation
  • [13]

    S. Siddiqa, M. Sulaiman, M. A. Hossain, S. Islam and R. S. R. Gorla, Gyrotactic bioconvection flow of a nanofluid past a vertical wavy surface, Int. J. Therm. Sci. 108 (2016), 244–250.

    • Crossref
    • Export Citation
  • [14]

    A. Mahdy and S. E. Ahmed, Laminar free convection over a vertical wavy surface embedded in a porous medium saturated with a nanofluid, Transp. Porous Media 91 (2012), no. 2, 423–435.

    • Crossref
    • Export Citation
  • [15]

    E. Abu-Nada, Z. Masoud and A. Hijazi, Natural convection heat transfer enhancement in horizontal concentric annuli using nanofluids, Int. Commun. Heat Mass Transf. 35 (2008), 657–665.

    • Crossref
    • Export Citation
  • [16]

    J. Maxwell, A treatise on electricity and magnetism, Second ed., Oxford University Press, Cambridge, UK, 1904.

Purchase article
Get instant unlimited access to the article.
$42.00
Log in
Already have access? Please log in.


or
Log in with your institution

Journal + Issues

The Journal of Non-Equilibrium Thermodynamics serves as an international publication organ for new ideas, insights and results on non-equilibrium phenomena in science, engineering and related natural systems. The central aim of the journal is to provide a bridge between science and engineering and to promote scientific exchange on non-equilibrium phenomena and on analytic or numeric modeling for their interpretation.

Search