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Flow and Heat Transfer Past a Stretching/Shrinking Sheet Using Modified Buongiorno Nanoliquid Model

Author

Listed:
  • Natalia C. Roşca

    (Department of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania)

  • Alin V. Roşca

    (Department of Statistics-Forecasts Mathematics, Faculty of Economics and Business Administration, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania)

  • Emad H. Aly

    (Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo 11757, Egypt)

  • Ioan Pop

    (Department of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania)

Abstract

This paper studies the boundary layer flow and heat transfer characteristics past a permeable isothermal stretching/shrinking surface using both nanofluid and hybrid nanofluid flows (called modified Buongiorno nonliquid model). Using appropriate similarity variables, the PDEs are transformed into ODEs to be solved numerically using the function bvp4c from MATLAB. It was found that the solutions of the resulting system have two branches, upper and lower branch solutions, in a certain range of the suction, stretching/shrinking and hybrid nanofluids parameters. Both the analytic and numerical results are obtained for the skin friction coefficient, local Nusselt number, and velocity and temperature distributions, for several values of the governing parameters. It results in the governing parameters considerably affecting the flow and heat transfer characteristics.

Suggested Citation

  • Natalia C. Roşca & Alin V. Roşca & Emad H. Aly & Ioan Pop, 2021. "Flow and Heat Transfer Past a Stretching/Shrinking Sheet Using Modified Buongiorno Nanoliquid Model," Mathematics, MDPI, vol. 9(23), pages 1-12, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:23:p:3047-:d:689392
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    References listed on IDEAS

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    1. Emad H. Aly, 2015. "Radiation and MHD Boundary Layer Stagnation-Point of Nanofluid Flow towards a Stretching Sheet Embedded in a Porous Medium: Analysis of Suction/Injection and Heat Generation/Absorption with Effect of ," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-20, September.
    2. Ranga Babu, J.A. & Kumar, K. Kiran & Srinivasa Rao, S., 2017. "State-of-art review on hybrid nanofluids," Renewable and Sustainable Energy Reviews, Elsevier, vol. 77(C), pages 551-565.
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    1. Araceli Queiruga-Dios & María Jesus Santos Sánchez & Fatih Yilmaz & Deolinda M. L. Dias Rasteiro & Jesús Martín-Vaquero & Víctor Gayoso Martínez, 2022. "Mathematics and Its Applications in Science and Engineering," Mathematics, MDPI, vol. 10(19), pages 1-2, September.

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