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Diffusion and Convection of the Magnetic Field

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Magnetohydrodynamics

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 3))

Abstract

Two quite different mechanisms combine together to control the distribution of the magnetic field in a conducting material: diffusion, and convection. Their analysis, starting from the induction equation, is the subject of this chapter. A dimensionless number of fundamental importance, that we call the magnetic Reynolds number (Rm) enables the relative importance of each of them to be appreciated. In alternating regimes, identified by the skin effect, another dimensionless number, called the shielding parameter (R ω ) is also usefull; its value characterises the penetration of the magnetic field into the conducting domain.

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© 1990 Springer Science+Business Media Dordrecht

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Moreau, R. (1990). Diffusion and Convection of the Magnetic Field. In: Magnetohydrodynamics. Fluid Mechanics and Its Applications, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7883-7_2

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  • DOI: https://doi.org/10.1007/978-94-015-7883-7_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4077-0

  • Online ISBN: 978-94-015-7883-7

  • eBook Packages: Springer Book Archive

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