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

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

Physica A: Statistical Mechanics and its Applications, 2022, vol. 594, issue C

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.

Keywords: Entropy generation; Lorentz force; Squeezing flow; Bejan number; Electric potential; PCM; BVP4C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437121009031
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:594:y:2022:i:c:s0378437121009031

DOI: 10.1016/j.physa.2021.126669

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().