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Elsasser number

The Elsasser number, Λ, is a dimensionless number in magnetohydrodynamics that represents the ratio of magnetic forces to the Coriolis force.[1]

where σ is the conductivity of the fluid, B is the magnetic field, ρ is the density of the fluid, and Ω is the rate of rotation of the body.

Applications

This number is useful when studying the linear stability of an accretion disc to the magnetorotational instability.[2]

Notes

  1. ^ Gubbins & Herrero-Bervera (2007), p. 299.
  2. ^ Lesur, Geoffroy R. J. (February 2021). "Magnetohydrodynamics of protoplanetary discs". Journal of Plasma Physics. 87 (1): 205870101. arXiv:2007.15967. doi:10.1017/S0022377820001002. ISSN 0022-3778.

References

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