Womersley Number
Womersley number, abbreviated as a, a dimensionless number, is the pulsatile flow frequency in relation to viscous effects.
Womersley Number formula
\(\large{ a = l \; \sqrt{ \frac{ \omega \; \rho }{ \mu } } }\) |
Where:
\(\large{ a }\) = Womersley number
\(\large{ l }\) = approperate length scale (for example the radius of a pipe)
\(\large{ \omega }\) (Greek symbol omega) = angular frequency of oscillation
\(\large{ \rho }\) (Greek symbol rho) = density
\(\large{ \mu }\) (Greek symbol mu) = dynamic viscosity of fluid