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Schmidt number - Wikipedia, the free encyclopedia

Schmidt number

From Wikipedia, the free encyclopedia

The Schmidt number is a dimensionless number approximating the ratio of momentum diffusivity (viscosity) and mass diffusivity, and is used to characterize fluid flows in which there are simultaneous momentum and mass diffusion convection processes. It was named after Ernst Schmidt.

Schmidt number is the ratio of the shear component for diffusivity viscosity/density to the diffusivity for mass transfer D. It physically relates the relative thickness of the hydrodynamic layer and mass-transfer boundary layer.

It is defined [1] as:

\mathit{Sc} = \frac{\nu}{D}

where:

The heat transfer analog of the Schmidt number is the Prandtl number.

[edit] Notes

  1. ^ Incropera & De Witt, 1990, Fundamentals of Heat and Mass Trasfer, 3rd Edition, Eq. 6.71, p. 345
 v  d  e Dimensionless numbers in fluid dynamics
ArchimedesBagnoldBondBrinkmanCapillaryDamköhlerDeborahEckertEkmanEulerFroudeGalileiGrashofHagenKnudsenLaplaceLewisMachMarangoniNusseltOhnesorgePécletPrandtlRayleighReynoldsRichardsonRossbySchmidtSherwoodStantonStokesStrouhalWeberWeissenbergWomersley
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