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Analysis of laminar magnetohydrodynamic flow in the wake past a spheroid

Published online by Cambridge University Press:  26 August 2025

Tong-Tong Liu ,
Jun-Hua Pan Open the ORCID record for Jun-Hua Pan [Opens in a new window]  and
Ming-Jiu Ni Open the ORCID record for Ming-Jiu Ni [Opens in a new window]
Tong-Tong Liu
Affiliation:
School of Engineering Science, University of Chinese Academy of Sciences, Beijing 101408, PR China
Jun-Hua Pan*
Affiliation:
School of Engineering Science, University of Chinese Academy of Sciences, Beijing 101408, PR China State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics and University of Chinese Academy of Sciences, Beijing 100190, PR China
Ming-Jiu Ni*
Affiliation:
School of Engineering Science, University of Chinese Academy of Sciences, Beijing 101408, PR China State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics and University of Chinese Academy of Sciences, Beijing 100190, PR China
*
Corresponding authors: Ming-Jiu Ni, mjni@ucas.ac.cn; Jun-Hua Pan, panjunhua@ucas.ac.cn
Corresponding authors: Ming-Jiu Ni, mjni@ucas.ac.cn; Jun-Hua Pan, panjunhua@ucas.ac.cn
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Abstract

This study employs a direct numerical simulation method to investigate the wake pattern evolutions of flows past an insulated spheroid and provides expressions of force and torque coefficients influenced by a streamwise magnetic field in an incompressible, conducting, viscous fluid. A total of 1150 cases are examined covering a parameter range of Reynolds number $50 \leqslant \textit{Re} \leqslant 250$, aspect ratio $1.5 \leqslant \beta \leqslant 6$, inclination angle $0^\circ \leqslant \theta \leqslant 90^\circ$, and interaction parameter $0 \leqslant N \leqslant 10$, where $\beta$ and $N$, respectively, reflect the anisotropy of the spheroid and the strength of magnetic field. Nine wake patterns are classified based on wake structure features and summarised in three maps of regimes according to the inclination angle. The transition mechanisms among these wake patterns are also investigated under the influence of a streamwise magnetic field. Furthermore, expressions for drag, lift and torque coefficients are derived with the help of three fundamental physical criteria. Results indicate that the force and torque expressions give a good prediction within the present parameter space $\{\textit{Re}, \beta , \theta , N\}$.

JFM classification

MHD and Electrohydrodynamics: MHD and Electrohydrodynamics Multiphase and Particle-laden Flows: Particle/fluid flow

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Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 1017 , 25 August 2025 , A43
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Copyright
© The Author(s), 2025. Published by Cambridge University Press

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Footnotes

†

These authors contributed equally to this work and should be considered co-first authors.

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