# Churchill–Bernstein Equation - Mass Transfer Definition

Mass Transfer Definition

$mathrm{Sh} = 0.3 + frac{0.62mathrm{Re}_D^{1/2}mathrm{Sc}^{1/3}}{left^{1/4} ,}bigg^{4/5} quad mathrm{Sc},mathrm{Re}_D ge 0.2$

where:

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. The same restrictions described in the heat transfer definition are applied to the mass transfer definition. The Sherwood number can be used to find an overall mass transfer coefficient and applied to Fick's law of diffusion to find concentration profiles and mass transfer fluxes.