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Stewart number

A dimensionless number, defined by the identity

where B0 and ω0 are the characteristic values of the magnetic induction and the velocity of the fluid; l0 is the characteristic dimension; σ and ρ are the specific electrical conductivity and the density of the fluid.
Comment on terms. The dimensional variables appearing in the dimensionless numbers Ha, ReM, PrM, and S are given in the SI system of units.

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