It is particularly valuable in situations where the Reynolds number and Schmidt number are readily available.
2.
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 ).
3.
Using the mass-heat transfer analogy, the Nusselt number is replaced by the Sherwood number, and the Prandtl number is replaced by the Schmidt number.
4.
The Schmidt number is the ratio of the shear component for diffusivity " viscosity / density " to the diffusivity for mass transfer " D ".
5.
When used in connection with mass transfer the Prandtl number is replaced by the Schmidt number, Sc, which expresses the ratio of the momentum diffusivity to the mass diffusivity.
6.
"' 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.
7.
For a correlation for a given geometry ( e . g . spheres, plates, cylinders, etc . ), a heat transfer correlation ( often more readily available from literature and experimental work, and easier to determine ) for the Nusselt number ( Nu ) in terms of the Reynolds number ( Re ) and the Prandtl number ( Pr ) can be used as a mass transfer correlation by replacing the Prandtl number with the analogous dimensionless number for mass transfer, the Schmidt number, and replacing the Nusselt number with the analogous dimensionless number for mass transfer, the Sherwood number.
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