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On Numerical Analysis of Carreau–Yasuda Nanofluid Flow over a Non-Linearly Stretching Sheet under Viscous Dissipation and Chemical Reaction Effects

Author

Listed:
  • Stanford Shateyi

    (Department of Mathematics and Applied Mathematics, School of Natural and Mathematical Sciences, University of Venda, P. Bag X5050, Thohoyandou 0950, South Africa)

  • Hillary Muzara

    (Department of Mathematics, University of Zimbabwe, Mt. Pleasant, 0001, P.O. Box MP167, Zimbabwe)

Abstract

This work reports the Carreau–Yasuda nanofluid flow over a non-linearly stretching sheet viscous dissipation and chemical reaction effects. The coupled system of non-linear partial differential equations are changed into a system of linear differential equations employing similarity equations. The spectral quasi-linearization method was used to solve the linear differential equations numerically. Error norms were used to authenticate the accuracy and convergence of the numerical method. The effects of some thermophysical parameters of interest in this current study on the non-dimensional fluid velocity, concentration and temperature, the skin friction, local Nusselt and Sherwood numbers are presented graphically. Tables were used to depict the effects of selected parameters on the skin friction and the Nusselt number.

Suggested Citation

  • Stanford Shateyi & Hillary Muzara, 2020. "On Numerical Analysis of Carreau–Yasuda Nanofluid Flow over a Non-Linearly Stretching Sheet under Viscous Dissipation and Chemical Reaction Effects," Mathematics, MDPI, vol. 8(7), pages 1-24, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1148-:d:384156
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    References listed on IDEAS

    as
    1. Liaquat Ali Lund & Zurni Omar & Ilyas Khan & Seifedine Kadry & Seungmin Rho & Irshad Ali Mari & Kottakkaran Sooppy Nisar, 2019. "Effect of Viscous Dissipation in Heat Transfer of MHD Flow of Micropolar Fluid Partial Slip Conditions: Dual Solutions and Stability Analysis," Energies, MDPI, vol. 12(24), pages 1-17, December.
    2. S. S. Motsa & P. G. Dlamini & M. Khumalo, 2014. "Spectral Relaxation Method and Spectral Quasilinearization Method for Solving Unsteady Boundary Layer Flow Problems," Advances in Mathematical Physics, Hindawi, vol. 2014, pages 1-12, June.
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