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Estimation of boundary-layer flow of a nanofluid past a stretching sheet: A revised model

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Abstract

The previous model for the boundary layer nanofluid flow past a stretching surface with a specified nanoparticle volume fraction on the surface is revisited. The major limitation of the previous model is the active control of the nanoparticle volume fraction on the surface. In a revised model proposed in this paper, the nanoparticle volume fraction on the surface is passively controlled, which accounts for the effects of both the Brownian motion and the thermophoresis under the boundary condition, whereas the Buongiorno’s model considers both effects in the governing equations. The assumption of zero nanoparticle flux on the surface makes the model physically more realistic. In the revised model, the dimensionless heat transfer rates are found to be higher whereas the dimensionless mass transfer rates are identically zero due to the passive boundary condition. It is also found that the Brownian motion parameter has a negligible effect on the Nusselt number.

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Authors and Affiliations

  1. School of Mathematical Sciences, Peking University, Beijing, 100871, China

    Naeema Ishfaq

  2. Department of Mathematics, University of Malakand, Dir (Lower), Khyber Pakhtunkhwa, Pakistan

    Zafar Hayat Khan

  3. Department of Mechanical and Industrial Engineering, College of Engineering, Majmaah University, Al Majma’ah, Saudi Arabia

    Waqar Ahmad Khan

  4. Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario, Canada

    Richard J. Culham

Authors
  1. Naeema Ishfaq
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  2. Zafar Hayat Khan
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  3. Waqar Ahmad Khan
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  4. Richard J. Culham
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Corresponding author

Correspondence to Zafar Hayat Khan.

Additional information

Project supported by the National Natural Science Foundation of China (Grant No. 11271023).

Biography: Naeema ISHFAQ (1986-), Female, Ph. D. Candidate

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Ishfaq, N., Khan, Z.H., Khan, W.A. et al. Estimation of boundary-layer flow of a nanofluid past a stretching sheet: A revised model. J Hydrodyn 28, 596–602 (2016). https://doi.org/10.1016/S1001-6058(16)60663-7

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  • DOI: https://doi.org/10.1016/S1001-6058(16)60663-7

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