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. 

Schmidt Number formula

(Eq. 1)  \(\large{ Sc =   \frac {  \nu  }  {  D_m   }    }\)         

(Eq. 2)  \(\large{ Sc =   \frac {  \mu  }  { \rho \; D_m   }    }\)         

Where:

\(\large{ Sc }\) = Schmidt number

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

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

\(\large{ \nu }\)  (Greek symbol nu) = kinetic viscosity

\(\large{ D_m }\) = mass diffusivity

Solve for:

\(\large{ \nu =  Sc \; D_m     }\)

\(\large{ D_m =   \frac {  \nu  }  {  Sc   }    }\)

 

Tags: Equations for Flow