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Investigation of the Nernst–Planck model for a viscous fluid between squeezing plates of magnetic field of variable intensity

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  • Khan, Muhammad Sohail
  • Shah, Rehan Ali
  • Mei, Sun
  • Shah, Said Anwar
  • Khan, Aamir
  • Shabnam,

Abstract

This paper explores the significant effects of convective transport of ions in the presence of a variable magnetic field over three-dimensional pressure driven electro-viscous fluid flow. The physical phenomena is modeled using the basic governing equations of fluid flow, as well as the magnetic equations, the Poisson equations, the Nernst Planck equations, and the energy equations. The governing equations have been transferred to the system of ODEs through a well-known similarity transformation techniques, and then solved numerically by parametric continuation method for the different values of the controlling parameters. The results have been displayed quantitatively in the table as well as graphically. In addition, the entropy of the system is modeled and solved numerically to demonstrate the performance of the system. The behavior of the electroviscous fluid flow has been observed for various physical parameters such as velocity profile, temperature profile, magnetic field, entropy generation and found that the electroviscous fluid flow is a control phenomenon to normalize the flow properties. For the validity of the numerical scheme, the solution of the proposed model is compared with the solution by BVP4C.

Suggested Citation

  • Khan, Muhammad Sohail & Shah, Rehan Ali & Mei, Sun & Shah, Said Anwar & Khan, Aamir & Shabnam,, 2022. "Investigation of the Nernst–Planck model for a viscous fluid between squeezing plates of magnetic field of variable intensity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).
    • Handle: RePEc:eee:phsmap:v:594:y:2022:i:c:s0378437121009031
    DOI: 10.1016/j.physa.2021.126669
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    References listed on IDEAS

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    1. Sciacovelli, A. & Verda, V. & Sciubba, E., 2015. "Entropy generation analysis as a design tool—A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 43(C), pages 1167-1181.
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