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The Womersley number is normally written in the powerless form = (). In the cardiovascular system, the pulsation frequency, density, and dynamic viscosity are constant, however the Characteristic length , which in the case of blood flow is the vessel diameter, changes by three orders of magnitudes (OoM) between the aorta and fine capillaries.
The Reynolds and Womersley Numbers are also used to calculate the thicknesses of the boundary layers that can form from the fluid flow’s viscous effects. The Reynolds number is used to calculate the convective inertial boundary layer thickness that can form, and the Womersley number is used to calculate the transient inertial boundary thickness that can form.
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John Ronald Womersley (20 June 1907 – 7 March 1958) was a British mathematician and computer scientist who made important contributions to computer development, and hemodynamics. [1] Nowadays he is principally remembered for his contribution to blood flow , fluid dynamics and the eponymous Womersley number , a dimensionless parameter ...
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