The Womersley number is often used to study blood circulation in biomechanics when there is pulsating flow through a circular tube of diameter d.
It is defined as Wo = 1/2 d√2πfrho/μ, where f is the frequency of the pressure in cycles per second. Like the Reynolds number, Wo is a ratio of inertia and viscous forces. Show that this number is dimensionless. The Womersley number is a dimensionless parameter that is used to study transient blood flow through the arteries