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Finite Element Study for Magnetohydrodynamic (MHD) Tangent Hyperbolic Nanofluid Flow over a Faster/Slower Stretching Wedge with Activation Energy

Author

Listed:
  • Bagh Ali

    (Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710129, China
    Bagh Ali and Rizwan Ali Naqvi are Co-first author, these authors contributed equally to this work.)

  • Rizwan Ali Naqvi

    (Department of Intelligent Mechatronics, Sejong University, Seoul 100083, Korea
    Bagh Ali and Rizwan Ali Naqvi are Co-first author, these authors contributed equally to this work.)

  • Amna Mariam

    (School of Mathematics, National College of Business Administration and Economics Lahore Layyah Campus, Layyah 31200, Pakistan)

  • Liaqat Ali

    (School of Energy and Power, Xi’an Jiaotong University, No. 28 Xianning West Road, Xi’an 710049, China)

  • Omar M. Aldossary

    (Department of Physics and Astronomy, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

Abstract

The below work comprises the unsteady flow and enhanced thermal transportation for Carreau nanofluids across a stretching wedge. In addition, heat source, magnetic field, thermal radiation, activation energy, and convective boundary conditions are considered. Suitable similarity functions use to transmuted partial differential formulation into the ordinary differential form, which is solved numerically by the finite element method and coded in Matlab script. Parametric computations are made for faster stretch and slowly stretch to the surface of the wedge. The progressing value of parameter A (unsteadiness), material law index ϵ , and wedge angle reduce the flow velocity. The temperature in the boundary layer region rises directly with exceeding values of thermophoresis parameter Nt, Hartman number, Brownian motion parameter Nb, ϵ , Biot number Bi and radiation parameter Rd. The volume fraction of nanoparticles rises with activation energy parameter EE, but it receded against chemical reaction parameter Ω , and Lewis number Le. The reliability and validity of the current numerical solution are ascertained by establishing convergence criteria and agreement with existing specific solutions.

Suggested Citation

  • Bagh Ali & Rizwan Ali Naqvi & Amna Mariam & Liaqat Ali & Omar M. Aldossary, 2020. "Finite Element Study for Magnetohydrodynamic (MHD) Tangent Hyperbolic Nanofluid Flow over a Faster/Slower Stretching Wedge with Activation Energy," Mathematics, MDPI, vol. 9(1), pages 1-18, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2020:i:1:p:25-:d:467617
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    References listed on IDEAS

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    1. Wubshet Ibrahim & Gosa Gadisa, 2019. "Finite Element Method Solution of Boundary Layer Flow of Powell-Eyring Nanofluid over a Nonlinear Stretching Surface," Journal of Applied Mathematics, Hindawi, vol. 2019, pages 1-16, July.
    2. Merkin, J.H. & Pop, I., 2018. "Stagnation point flow past a stretching/shrinking sheet driven by Arrhenius kinetics," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 583-590.
    3. Bhatti, M.M. & Abbas, M. Ali & Rashidi, M.M., 2018. "A robust numerical method for solving stagnation point flow over a permeable shrinking sheet under the influence of MHD," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 381-389.
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