Electrically Conducting Fluid Flow and Electric Potential in a Square Cavity Subjected to a Point Magnetic Source

Date

2022-01-01

Author

Şenel, Pelin
Tezer, Münevver

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Magnetohydrodynamics (MHD) flow in cavities subjected to both the magnetisation and the Lorentz forces due to a point magnetic source is studied. The governing PDEs are derived and iteratively solved by the dual reciprocity boundary elements method (DRBEM) with linear elements. It is shown that the magnetic field decelerates the axial flow around the point magnetic source, and a further increase in Ha causes a reverse flow in the pipe axis direction. An increase in Re, Ha, or Mn reduces the electric potential in magnitude. The planar velocity values decrease at the same rate as the Re increment. The influence of the magnetisation force lessens in high Re cases without alternating the axial velocity and the electric potential within the pipe. This study is the first to give the effects of both the magnetisation and the Lorentz forces on the fluid behaviour in terms of velocity, pressure, and electric potential.

Subject Keywords

MHD, point magnetic source, electric potential, DRBEM, magnetic number, Hartmann number, Reynolds number, SIMULATION, FIELD, DRBEM, electric potential, Hartmann number, magnetic number, MHD, point magnetic source, Reynolds number

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85141354143&origin=inward
https://hdl.handle.net/11511/101420

Journal

International Journal of Computational Fluid Dynamics

DOI

https://doi.org/10.1080/10618562.2022.2127695

Collections

Department of Mathematics, Article

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Citation Formats

P. Şenel and M. Tezer, “Electrically Conducting Fluid Flow and Electric Potential in a Square Cavity Subjected to a Point Magnetic Source,” International Journal of Computational Fluid Dynamics, vol. 36, no. 5, pp. 424–439, 2022, Accessed: 00, 2023. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85141354143&origin=inward.