# Schmidt Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Schmidt number, abbreviated as Sc, a dimensionless number, in fluid mechanics used in analyzing fluid flows where there is an interface between two different fluids.

## Schmidt Number formulas

$$\large{ Sc = \frac{ \nu }{ D_m } }$$

$$\large{ Sc = \frac{ \mu }{ \rho \; D_m } }$$

Symbol English Metric
$$\large{ Sc }$$ = Schmidt number $$\large{dimensionless}$$
$$\large{ \rho }$$  (Greek symbol rho) = density $$\large{\frac{lbm}{ft^3}}$$ $$\large{\frac{kg}{m^3}}$$
$$\large{ \mu }$$  (Greek symbol mu) = dynamic viscosity $$\large{\frac{lbf-sec}{ft^2}}$$ $$\large{ Pa-s }$$
$$\large{ \nu }$$  (Greek symbol nu) = kinematic viscosity $$\large{\frac{ft^2}{sec}}$$ $$\large{\frac{m^2}{s}}$$
$$\large{ D_m }$$ = mass diffusivity $$\large{\frac{ft^2}{sec}}$$ $$\large{\frac{m^2}{s}}$$

Tags: Flow Equations