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Numerical Computation of Dusty Hybrid Nanofluid Flow and Heat Transfer over a Deformable Sheet with Slip Effect

Author

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  • Nur Syazana Anuar

    (Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Selangor 43400, Malaysia)

  • Norfifah Bachok

    (Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Selangor 43400, Malaysia
    Institute for Mathematical Research, Universiti Putra Malaysia, Selangor 43400, Malaysia)

  • Ioan Pop

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

Abstract

The mathematical modeling of dusty Cu-Al 2 O 3 /water nanofluid flow driven by a permeable deformable sheet was explored numerically. Rather than no–slip conditions at the boundary, velocity slip and thermal slip were considered. To achieve the system of nonlinear ordinary differential equations (ODEs), we employed some appropriate transformations and solved them numerically using MATLAB software (built–in solver called bvp4c). The influences of relevant parameters on fluid flow and heat transfer characteristics are discussed and presented in graphs. The findings showed that double solutions appeared in the case of stretching and shrinking sheets which contributed to the analysis of stability. The stability analysis, therefore, confirmed that merely the first solution was a stable solution. The addition of nanometer-sized particles (Cu) was found to significantly strengthen the heat transfer rate of the dusty nanofluid. Meanwhile, an upsurge in the velocity and thermal slip was shown to decrease the local Nusselt number. The result also revealed that an increment of fluid particle interaction decreased the boundary layer thickness.

Suggested Citation

  • Nur Syazana Anuar & Norfifah Bachok & Ioan Pop, 2021. "Numerical Computation of Dusty Hybrid Nanofluid Flow and Heat Transfer over a Deformable Sheet with Slip Effect," Mathematics, MDPI, vol. 9(6), pages 1-18, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:6:p:643-:d:519365
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    References listed on IDEAS

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    1. Wubshet Ibrahim & Dachasa Gamachu, 2020. "Dusty Nanofluid Past a Centrifugally Stretching Surface," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-16, February.
    2. Gnaneswara Reddy, M. & Sudha Rani, M.V.V.N.L. & Ganesh Kumar, K. & Prasannakumar, B.C. & Lokesh, H.J., 2020. "Hybrid dusty fluid flow through a Cattaneo–Christov heat flux model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
    3. Mudassar Jalil & Saleem Asghar & Shagufta Yasmeen, 2017. "An Exact Solution of MHD Boundary Layer Flow of Dusty Fluid over a Stretching Surface," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-5, March.
    4. Khan, M. Riaz & Pan, Kejia & Khan, Arif Ullah & Nadeem, S., 2020. "Dual solutions for mixed convection flow of SiO2−Al2O3/water hybrid nanofluid near the stagnation point over a curved surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
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