Caputo-Fabrizio Time Fractional Derivative Applied to Visco Elastic MHD Fluid Flow in the Porous Medium

  • Authors

    • Salah Uddin
    • M. Mohamad
    • M. A. H. Mohamad
    • Suliadi Sufahani
    • M. Ghazali Kamardan
    • Obaid Ullah Mehmood
    • Fazli Wahid
    • R. Roslan
    2018-11-30
    https://doi.org/10.14419/ijet.v7i4.30.28171
  • Laminar flow, Porosity, Hartmann number.

  • Abstract

    In this paper the laminar fluid flow in the axially symmetric porous cylindrical channel subjected to the magnetic field was studied. Fluid

    model was non-Newtonian and visco elastic. The effects of magnetic field and pressure gradient on the fluid velocity were studied by using a new trend of fractional derivative without singular kernel. The governing equations consisted of fractional partial differential equations based on the Caputo-Fabrizio new time-fractional derivatives NFDt. Velocity profiles for various fractional parameter a, Hartmann number, permeability parameter and elasticity were reported. The fluid velocity inside the cylindrical artery decreased with respect to Hartmann number, permeability parameter and elasticity. The results obtained from the fractional derivative model are significantly different from those of the ordinary model.

     

     

  • References

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  • How to Cite

    Uddin, S., Mohamad, M., A. H. Mohamad, M., Sufahani, S., Ghazali Kamardan, M., Ullah Mehmood, O., Wahid, F., & Roslan, R. (2018). Caputo-Fabrizio Time Fractional Derivative Applied to Visco Elastic MHD Fluid Flow in the Porous Medium. International Journal of Engineering & Technology, 7(4.30), 533-537. https://doi.org/10.14419/ijet.v7i4.30.28171

    Received date: 2019-03-03

    Accepted date: 2019-03-03

    Published date: 2018-11-30