- PII
- S3034502225050134-1
- DOI
- 10.7868/S3034502225050134
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 65 / Issue number 5
- Pages
- 704-713
- Abstract
- The disturbances of the external magnetic field produced by a turbulent flow of a conducting incompressible liquid around a solid dielectric sphere are investigated. The fluid flow is calculated in the approximation of the RANS model, which takes into account the effects of turbulent viscosity. The COMSOL multiphysical simulation platform is used for numerical modelling of hydrodynamic and magnetic perturbations. The solution of the problem is obtained for an arbitrary orientation of the external magnetic field. The angular distribution and the decrease in amplitude of the magnetic disturbances with distance are studied numerically. The directions of maximum magnetic disturbances are determined. The area near the turbulent wake is investigated in detail. Approximate asymptotic laws of decrease of magnetic disturbances as a function of distance to the center of the ball are derived. The magnetic disturbances caused by laminar and turbulent regimes of the fluid flow around a sphere are compared.
- Keywords
- геомагнитные возмущения электропроводящая жидкость ламинарное течение турбулентное течение турбулентный след
- Date of publication
- 25.03.2026
- Year of publication
- 2026
- Number of purchasers
- 0
- Views
- 25
References
- 1. Дорман Л.Н., Михайлов Ю.М. Исследование электромагнитных явлений при обтекании тел в проводящей жидкости в магнитном поле // ЖЭТФ. Т. 43. C. 752–762. 1952.
- 2. Ландду Л.Д., Лифшиц Е.М. Электродинамика сплошных сред / М.: Наука, 620 с. 1982.
- 3. Ландду Л.Д., Лифшиц Е.М. Гидродинамика / М.: Наука, 736 с. 1986.
- 4. Сорокин В.М., Ященко А.К., Сурков В.В. Генерация геомагнитных возмущений в ионосфере волной цунами // Геомагнетизм и аэропомия. Т. 59. № 2. С. 236–248. 2019. https://doi.org/10.1134/S0016794019020135
- 5. Сретенский Л.Н. Теория волновых движений, 2-ое изд., перераб. и доп., М.: Наука, Глав. Ред. физ.-мат. лит., 816 с., 1977.
- 6. Сурков В.В., Сорокин В.М., Ященко А.К. Геомагнитные возмущения, вызванные движением шара в проводящей жидкости // Известия высших учебных заведений. Радиофизика. Т. 60. № 7. С. 617–626. 2017.
- 7. Arzhannikov A.V., Kotelnikov I.A. Excitation of ship waves by a submerged object: new solution to the classical problem // Phys. Rev. E. V. 94. 023103. 2016. https://doi.org/10.1103/PhysRevE.94.023103
- 8. Artru J., Ductc V., Kanamori H., Lognonne P., Murakami M. Ionospheric detection of gravity waves induced by tsunamis // Geophys. J. Int. V. 160. P. 840–848. 2005.
- 9. Havelock T.H. The wave pattern of a doublet in a stream // Proc. Roy. Soc. Lond. (A). V. 121. P. 515–523. 1928.
- 10. Manoj C., Maus S. Observation of magnetic fields generated by tsunamis // EOS. V. 92. № 2. P. 13–14. 2011.
- 11. Rodi W. Turbulence models and their application in hydraulics: A state-of-the-art review, 3rd ed., ed. Rodi W., Routledge, 2017.
- 12. Sanford T.B. Motionally induced electric and magnetic fields in the sea // J. Geophys. Res. V. 76. P. 3476–3492. 1971.
- 13. Sorokin V.M., Yashchenko A.K., Surkov V.V. Geomagnetic field perturbations resulted from tsunami wave impact on the ionosphere // Progress in Electromagnetics Research B. V. 85. P. 49–63. 2019. https://doi.org/10.2528/PIERB19050201
- 14. Surkov V., Hayakawa M. // Ultra and Extremely Low Frequency Electromagnetic Fields, Springer Geophysics Series, XVI, Springer, 486 p. 2014. https://doi.org/10.1007/978-4-431-54367-1
- 15. Surkov V.V., Sorokin V.M., Yashchenko A.K. Perturbations of ambient magnetic field resulted from a ball motion in a conductive liquid half-space // Progress in Electromagnetics Research B. V. 80. P. 113–131. 2018.
- 16. Toh H., Satake K., Hamano Y., Fujii Y., Goto T. Tsunami signals from the 2006 and 2007 Kuril earthquakes detected at a seafloor geomagnetic observatory // J. Geophys. Res. V. 116. № B2. 2011.
- 17. Wang B., Liu H. Space-time behaviour of magnetic anomalies induced by tsunami waves in open ocean // Proc. Roy. Soc. A. V. 469. № 257. 2013.
- 18. Weaver J.T. Magnetic variations associated with ocean waves and swells // J. Geophys. Res. V. 70. P. 1921–1929. 1965.
- 19. Yaakobi O., Zilman G., Miloh T. Detection of the electromagnetic field induced by the wake of a ship moving in a moderate sea state of finite depth // J. Eng. Math. V. 70. P. 17–27. 2011.
- 20. Zhang L., Utada H., Shimizu H., Baba K., Maeda T. Three-dimensional simulation of the electromagnetic fields induced by the 2011 Tohoku tsunami: Simulation of the EM fields of tsunami // J. Geophys. Res. V. 119. № 1. P. 150–168. 2014.
- 21. Zhu X.J., Du C.P., Xia M.Y. Modeling of magnetic field induced by ship wake // 2015 IEEE International Conference on Computational Electromagnetics, Hong Kong, China. P. 374–376. 2015. https://doi.org/10.1109/COMPEM.2015.7052667
