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Effects of Nanolayer and Second Order Slip on Unsteady Nanofluid Flow Past a Wedge

Author

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  • Jing Zhu

    (Department of applied Mathematics, University of Science and Technology Beijing, Beijing 100083, China)

  • Jiahui Cao

    (Department of applied Mathematics, University of Science and Technology Beijing, Beijing 100083, China)

Abstract

This paper presents the study of unsteady nanofluids flow and heat transfer past a wedge with second order velocity slip and temperature jump. The model is modified by considering the existence of a nanolayer together with the effects of thermophoresis and Brownian motion. The fundamental equations were transformed into ordinary differential equations by a new set of similarity transformations and solved by using the homotopy analysis method (HAM). We determined that the error reached 10 −6 and the effectiveness of HAM was attained. The influence of second-order slip on the fluid skin-friction coefficient was analyzed and we determined that the Nusselt number decreases and skin friction coefficient rises with an increase in the thickness of the nanolayer.

Suggested Citation

  • Jing Zhu & Jiahui Cao, 2019. "Effects of Nanolayer and Second Order Slip on Unsteady Nanofluid Flow Past a Wedge," Mathematics, MDPI, vol. 7(11), pages 1-13, November.
  • Handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1043-:d:283143
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    References listed on IDEAS

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    1. Bigdeli, Masoud Bozorg & Fasano, Matteo & Cardellini, Annalisa & Chiavazzo, Eliodoro & Asinari, Pietro, 2016. "A review on the heat and mass transfer phenomena in nanofluid coolants with special focus on automotive applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 60(C), pages 1615-1633.
    2. Peter A. Thompson & Sandra M. Troian, 1997. "A general boundary condition for liquid flow at solid surfaces," Nature, Nature, vol. 389(6649), pages 360-362, September.
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