# Schmidt Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Schmidt Number (1892-1975) is a dimensionless number in fluid mechanics used in analyzing fluid flows where there is an interface between two different fluids.

## formula

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

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

Where:

$$Sc$$ = Schmidt Number

$$\nu$$ (Greek symbol nu) = kinetic viscosity

$$D_m$$ = mass diffusivity

$$\mu$$ (Greek symbol mu) = dynamic viscosity

$$\rho$$ (Greek symbol rho) = density

Solve for:

$$\nu = Sc D_m$$

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