Stuart number
The Stuart number (N), also known as magnetic interaction parameter, is a dimensionless number of fluids, i.e. gases or liquids.
It is defined as the ratio of electromagnetic to inertial forces, which gives an estimate of the relative importance of a magnetic field on a flow. The Stuart number is relevant for flows of conducting fluids, e.g. in fusion reactors, steel casters or plasmas.[1]
Definition
- B – magnetic field
- Lc – characteristic length
- σ – electric conductivity
- U – characteristic velocity scale
- ρ – density
- Ha – Hartmann number
- Re – Reynolds number
References
- ^ D. Lee; H. Choi (2001), "Magnetohydrodynamic turbulent flow in a channel at low magnetic Reynolds number", Journal of Fluid Mechanics, vol. 439, no. 1, pp. 367–394, Bibcode:2001JFM...439..367L, doi:10.1017/S0022112001004621, S2CID 121865399
Further reading
- R. Moreau: Magnetohydrodynamics (= Fluid Mechanics and its Applications. Vol. 3). Kluwer Academic Publishers, Dordrecht u. a. 1990, ISBN 0-7923-0937-5, S. 127.
- P. A. Davidson: An Introduction to Magnetohydrodynamics. Cambridge University Press, Cambridge 2001, ISBN 0-521-79149-9, S. 97.
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