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Stuart number

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Title: Stuart number  
Author: World Heritage Encyclopedia
Language: English
Subject: Dimensionless quantity, Magnetohydrodynamics, Shields parameter, Magnetic Prandtl number, Brinkman number
Publisher: World Heritage Encyclopedia

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]


\mathrm{N} = \frac {B^2 L_c \sigma}{\rho U} = \frac{\mathrm{Ha}^2}{\mathrm{Re}}


  1. ^ 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.
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