Abstract

The analysis of flow around a stenosis is a topic which has received considerable attention. This paper considers the problem from both the signal processing and modelling standpoints.The analysis of the disturbance velocity downstream of a stenosis shows that it comprises two components which are multiplied. Separation of the components by homomorphic filtering indicates that there is a low frequency modulating signal which is believed to be associated with shed vortex structures and a carrier which may be associated with arterial wall motion.Regarding the wall motion as an oscillatory disturbance to a 'jet like' flow downstream of a stenosis, the sensitivity and strongly nonlinear response of vortex shedding is studied experimentally. Based on these findings a phenomenological model is proposed describing the spatio-temporal flow phenomena in terms of a (forced) chain of mutually coupled nonlinear oscillators. This adequately describes essential features of vortex shedding from a stenosis and accounts for the modulated-carrier type disturbance velocity observed in vivo.

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