Abstract
On the basis of a three-dimensional formulation of the problem of pulsating flow in a tapered leaking elastic tube, a system of two ordinary differential equations for the entry flow rate and the hydrodynamic pressure is deduced by an appropriate space-averaging procedure. All approximations of the procedure are accomplished in accordance with the corresponding estimations of the arterial blood flow as a model process. The entry flow rate and pressure are time-period-averaged and the obtained system of equations is investigated for stability. Two steady states of the system are obtained: one stable and one unstable. In conclusion a physical interpretation of stable and unstable solutions is given in the context of haemodynamics.
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