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Theoretical study of MHD electro-osmotically flow of third-grade fluid in micro channel

Author

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  • Nazeer, Mubbashar
  • Hussain, Farooq
  • Khan, M. Ijaz
  • Asad-ur-Rehman,
  • El-Zahar, Essam Roshdy
  • Chu, Yu-Ming
  • Malik, M.Y.

Abstract

The electro-osmatic flow of non-newtonian fluid in a micro-channel is investigated in this article. The governing equations are derived with the help of a stress tensor then later transformed into dimensionless form with non-dimensional quantities. The perturbation method is used to obtain the approximate analytical solution of the given problem. The viscosity of the fluid is taken as a variable in terms of temperature. The validity of the perturbation solution is provided. The Pseudo-spectral collocation method is used to calculate the error in the perturbation solution of velocity and temperature. The magnitude of error in velocity and temperature is 10−4 and 10−2, respectively. The impact of emerging parameters on velocity and heat profiles is also presented. The computational results reveal that the velocity profile diminishing via non-Newtonian parameter Γ1, electro-kinetic parameter Γ2, magnetic field parameter M and viscosity parameter D while an opposite behavior is noted in the velocity versus pressure gradient parameter Γ3, viscosity parameter E and wall's temperature θw, respectively. Further, the temperature profile increases against the enhancement of Brinkman number, Joule heating parameter, pressure gradient parameter, wall's temperature, viscosity parameter D while reverse behavior is observed via electro-kinetic and magnetic field parameters. This study will help to understand the basic idea of MHD electro osmotic flow of non-Newtonian fluid bounded within a microchannel under the influence of variable viscosity. Further, this research can be useful to design the different types of biomedical lab-on-a-chip and thermal microfluidic devices. The developed devices can be helpful in DNA analysis and biomedical diagnosis etc.

Suggested Citation

  • Nazeer, Mubbashar & Hussain, Farooq & Khan, M. Ijaz & Asad-ur-Rehman, & El-Zahar, Essam Roshdy & Chu, Yu-Ming & Malik, M.Y., 2022. "Theoretical study of MHD electro-osmotically flow of third-grade fluid in micro channel," Applied Mathematics and Computation, Elsevier, vol. 420(C).
  • Handle: RePEc:eee:apmaco:v:420:y:2022:i:c:s0096300321009516
    DOI: 10.1016/j.amc.2021.126868
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    References listed on IDEAS

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    1. Ranjit, N.K. & Shit, G.C., 2017. "Entropy generation on electro-osmotic flow pumping by a uniform peristaltic wave under magnetic environment," Energy, Elsevier, vol. 128(C), pages 649-660.
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    Cited by:

    1. Kumar, Vinay & Murthy, S.V.S.S.N.V.G. Krishna & Kumar, B.V. Rathish, 2023. "Multi-force effect on fluid flow, heat and mass transfer, and entropy generation in a stratified fluid-saturated porous enclosure," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 328-367.
    2. Raja, M. Asif Zahoor & Shoaib, M. & Zubair, Ghania & Khan, M. Ijaz & Punith Gowda, R.J. & Prasannakumara, B.C. & Guedri, Kamel, 2022. "Intelligent neuro-computing for entropy generated Darcy–Forchheimer​ mixed convective fluid flow," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 201(C), pages 193-214.

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