Many linear theories
oscillating blood flow in arteries have been
proposed, but that of Womersley remains the most commonly used.
frequency dependent parameter not originally defined by him, but later
known as the Womersley's parameter was introduced, as shown in eqn.
957) also utilized a linearized Navier-Stokes
equation, and an equation
freely moving elastic tube with
homogeneous and isotropic wall material.
He also made assumptions
that the pulse propagation wavelength is much greater than that
arterial lumen radius, or b>r, and that the propagating pressure pulse
takes the form of
the amplitude of the pressure pulse (p) and
velocity. He obtained
equation for the pulse wave velocity was derived, assuming
arterial wall and blood densities are equal,
where k, is
the Bessel function
are zero and first order Bessel functions of the first
are tabulated by Womersley and van