# Schmidt Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

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

## Formulas that use Schmidt Number

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

### Where:

$$\large{ Sc }$$ = Schmidt number

$$\large{ \rho }$$  (Greek symbol rho) = density

$$\large{ \mu }$$  (Greek symbol mu) = dynamic viscosity

$$\large{ \nu }$$  (Greek symbol nu) = kinematic viscosity

$$\large{ D_m }$$ = mass diffusivity

Tags: Equations for Flow