Dean Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Dean Number

Dean number ( \(De\) ) (dimensionless number) is used in momentum transfer for the flow in curved pipes and channels.

Dean Number FORMULA

\( De = \sqrt {   \frac  { \frac {1} {2}  F_i F_c } { \eta }  }  =  Re \; \sqrt { \frac  { D }  { 2  r_c }  } \)          \( Dean \; number \;=\; \sqrt { \frac  { \frac {1} {2} \;\;x\;\; internal \; force \;\;x\;\;  centripetal \; force  } { vciscous \; force }  } \;=\;  Reynolds \; number \; \sqrt { \frac  { diameter }  { 2  \;\;x\;\;  radius \; of \; curviture }  } \)

Where:

\(De\) = Dean number

\(Re\) = Reynolds number

\(D\) = diameter

\(r_c\) = radius of curviture of the path of channel

\(F_c \) = centripetal force

\(F_i \) = internal force

\( \eta \) (Greek symbol eta) = vciscous force

 

Tags: Equations for Flow Equations for Fluid