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Schmidt number : ウィキペディア英語版
Schmidt number

Schmidt number (Sc) is a dimensionless number defined as 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 the German engineer Ernst Heinrich Wilhelm Schmidt (1892-1975).
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〔 Eq. 6.71.〕 as:
:\mathrm = \frac = \frac = \frac
where:
* \nu is the kinematic viscosity or (/\,) in units of (m2/s)
* D is the mass diffusivity (m2/s).
* is the dynamic viscosity of the fluid (Pa·s or N·s/m² or kg/m·s)
* \rho is the density of the fluid (kg/m³).
The heat transfer analog of the Schmidt number is the Prandtl number.
==Turbulent Schmidt Number==
The turbulent Schmidt number is commonly used in turbulence research and is defined as:
\mathrm_\mathrm = \frac
where:
* \nu_\mathrm is the eddy viscosity in units of (m2/s)
* K is the eddy diffusivity (m2/s).
The turbulent Schmidt number describes the ratio between the rates of turbulent transport of momentum and the turbulent transport of mass (or any passive scalar). It is related to the turbulent Prandtl number which is concerned with turbulent heat transfer rather than turbulent mass transfer.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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