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Flow Past a Permeable Stretching/Shrinking Sheet in a Nanofluid Using Two-Phase Model

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  • Khairy Zaimi
  • Anuar Ishak
  • Ioan Pop

Abstract

The steady two-dimensional flow and heat transfer over a stretching/shrinking sheet in a nanofluid is investigated using Buongiorno’s nanofluid model. Different from the previously published papers, in the present study we consider the case when the nanofluid particle fraction on the boundary is passively rather than actively controlled, which make the model more physically realistic. The governing partial differential equations are transformed into nonlinear ordinary differential equations by a similarity transformation, before being solved numerically by a shooting method. The effects of some governing parameters on the fluid flow and heat transfer characteristics are graphically presented and discussed. Dual solutions are found to exist in a certain range of the suction and stretching/shrinking parameters. Results also indicate that both the skin friction coefficient and the local Nusselt number increase with increasing values of the suction parameter.

Suggested Citation

  • Khairy Zaimi & Anuar Ishak & Ioan Pop, 2014. "Flow Past a Permeable Stretching/Shrinking Sheet in a Nanofluid Using Two-Phase Model," PLOS ONE, Public Library of Science, vol. 9(11), pages 1-6, November.
    • Handle: RePEc:plo:pone00:0111743
    DOI: 10.1371/journal.pone.0111743
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    Cited by:

    1. Sithole, Hloniphile & Mondal, Hiranmoy & Goqo, Sicelo & Sibanda, Precious & Motsa, Sandile, 2018. "Numerical simulation of couple stress nanofluid flow in magneto-porous medium with thermal radiation and a chemical reaction," Applied Mathematics and Computation, Elsevier, vol. 339(C), pages 820-836.
    2. Siti Nur Alwani Salleh & Norfifah Bachok & Norihan Md Arifin & Fadzilah Md Ali & Ioan Pop, 2018. "Magnetohydrodynamics Flow Past a Moving Vertical Thin Needle in a Nanofluid with Stability Analysis," Energies, MDPI, vol. 11(12), pages 1-15, November.

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