Physics:Stuart number
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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
- [math]\displaystyle{ \mathrm{N} = \frac {B^2 L_c \sigma}{\rho U} = \frac{\mathrm{Ha}^2}{\mathrm{Re}} }[/math]
- 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 439 (1): 367–394, doi:10.1017/S0022112001004621, Bibcode: 2001JFM...439..367L
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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