Schmidt Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Schmidt Number

Schmidt number ( \(Sc\) ) (dimensionless number) in fluid mechanics used in analyzing fluid flows where there is an interface between two different fluids. 

Schmidt Number formula

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

\(\large{ Sc =   \frac {  \mu  }  { \rho D_m   }    }\)         

Where:

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

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

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

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

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

Solve for:

\(\large{ \nu =  Sc  D_m     }\) 

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

 

Tags: Equations for Flow