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Atangana–Baleanu fractional model for electro-osmotic flow of viscoelastic fluids

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  • Ali, Farhad
  • Iftikhar, Muhammad
  • Khan, Ilyas
  • Sheikh, Nadeem Ahmad

Abstract

The main goal of the current research paper is to examine the magnetohydrodynamics (MHD) free convection flow of generalized Walters’-B fluid with the effect of electro-osmosis. Electro-osmosis is the motion of liquid across a porous material which is generated by the applied potential on a net mobile electric charge in a solution. The classical Walters’-B fluid model is transformed to generalize Walters’-B fluid model using the new idea of Atangana–Baleanu time fractional derivative. Exact solutions for the velocity and temperature profiles of the stated problem are obtained using the Laplace transform technique. Some interesting and important results have been obtained from the current study. The effects of various embedded parameters like Walters’-B parameter Γ, Prandtl number Pr, Grashof number Gr, Keff and electro-osmosis parameter Es have been plotted graphically using Mathcad software. It is worth nothing that for increasing values of Es, velocity decreases. Furthermore, a decrease in velocity is observed for increasing value of Walters’-B fluid parameter Γ.

Suggested Citation

  • Ali, Farhad & Iftikhar, Muhammad & Khan, Ilyas & Sheikh, Nadeem Ahmad, 2019. "Atangana–Baleanu fractional model for electro-osmotic flow of viscoelastic fluids," Chaos, Solitons & Fractals, Elsevier, vol. 124(C), pages 125-133.
    • Handle: RePEc:eee:chsofr:v:124:y:2019:i:c:p:125-133
    DOI: 10.1016/j.chaos.2019.05.001
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    References listed on IDEAS

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    1. Atangana, Abdon & Koca, Ilknur, 2016. "Chaos in a simple nonlinear system with Atangana–Baleanu derivatives with fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 89(C), pages 447-454.
    2. Lokenath Debnath, 2003. "Recent applications of fractional calculus to science and engineering," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-30, January.
    3. Abid Hussanan & Ilyas Khan & Sharidan Shafie, 2013. "An Exact Analysis of Heat and Mass Transfer Past a Vertical Plate with Newtonian Heating," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-9, June.
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    Cited by:

    1. Wei, Qing & Zhou, Hongwei & Yang, Shuai, 2020. "Non-Darcy flow models in porous media via Atangana-Baleanu derivative," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    2. Muñoz-Vázquez, Aldo Jonathan & Sánchez-Torres, Juan Diego & Defoort, Michael & Boulaaras, Salah, 2021. "Predefined-time convergence in fractional-order systems," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    3. Tabatabaei, S. Sepehr & Dehghan, Mohammad Reza & Talebi, Heidar Ali, 2022. "Real-time prediction of soft tissue deformation; a non-integer order modeling scheme and a practical verification for the theoretical concept," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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