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 induction
- Lc – characteristic length
- σ – electric conductivity
- μ – dynamic viscosity, sometimes denoted as η
- Ha – Hartmann number
- Re – Reynolds number
References
- ↑ D. Lee, H. Choi, (2001), "Magnetohydrodynamic turbulent flow in a channel at low magnetic Reynolds number" (in German), Journal of Fluid Mechanics 439: pp. 367–394, doi:10.1017/S0022112001004621
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.