Dean number

The Dean number ( De also short ) is a dimensionless parameter of the fluid mechanics, the change of pressure drop in a circular curved pipe (manifold ) or channel describes as compared to a straight pipe. It is

With the volume flow and the pressure drop. The function can be determined, for example analytically from series expansions for laminar flow.

The Dean number also describes whether or how much to train due to the deflection of the fluid flow vortices in curved channels. For no secondary vortices are formed, for larger Dean numbers the faster core flow is forced by the centrifugal force at the outer tube wall and displaces the slower wall flow, so that form typical counter-rotating vortices ( Dean vortices ). Therefore, the Dean number also appears in the relationship between the centrifugal force on to the characteristic viscous frictional force in the tube, it is

The Reynolds number

Formula for determining the Dean number

This includes:

• Code ( Fluid Mechanics )