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The '''Stuart number''' ('''N'''), also known as magnetic interaction parameter, is a [[dimensionless number]] of [[fluid]]s, 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. <ref>{{Literatur|Autor=D. Lee, H. Choi, |Titel=Magnetohydrodynamic turbulent flow in a channel at low magnetic Reynolds number|Sammelwerk=Journal of Fluid Mechanics|Band=439|Jahr=2001|Seiten=367–394|DOI=10.1017/S0022112001004621}}</ref>

==Definition==
:<math> \mathrm{N} = \frac {B^2 L_c \sigma}{\rho U} = \frac{\mathrm{Ha}^2}{\mathrm{Re}} </math> 

* ''B'' – [[magnetic flux density]]
* ''L<sub>c</sub>'' – [[characteristic length]]
* ''&sigma;'' – [[electric conductivity]]
* ''&mu;'' – dynamic [[viscosity]], sometimes denoted as ''&eta;''
* Ha – [[Hartmann number]]
* Re – [[Reynolds number]]

==References==
{{Reflist}}

==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.&nbsp;127.
* P. A. Davidson: ''An Introduction to Magnetohydrodynamics.'' Cambridge University Press, Cambridge 2001, ISBN 0-521-79149-9, S.&nbsp;97.

{{NonDimFluMech}}

[[Category:Dimensionless numbers of thermodynamics]]
[[Category:Fluid dynamics]]
[[Category:Magnetohydrodynamics]]