Physics:Stuart number
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Short description: Dimensionless parameter in fluid mechanics
The Stuart number (N), also known as magnetic interaction parameter, is a dimensionless number of fluids, i.e. gases or liquids. It is named after mathematician John Trevor Stuart.[1]
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.[2]
Definition
- B – magnetic field
- Lc – characteristic length
- σ – electric conductivity
- U – characteristic velocity scale
- ρ – density
- Ha – Hartmann number
- Re – Reynolds number
References
- ↑ Massey, Bernard Stanford (1986) (in en). Measures in Science and Engineering: Their Expression, Relation, and Interpretation. E. Horwood. ISBN 978-0-470-20331-6. https://books.google.com/books?id=ebEeAQAAIAAJ&q=Measures%20in%20science%20and%20engineering%20:%20their%20expression,%20relation,%20and%20interpretation%20by%20Massey,%20B.%20S.%20(Bernard%20Stanford).
- ↑ 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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