On nonlinear waves of the blood flow through arteries

Autor:	Nikolova, Elena, Jordanov, Ivan P., Vitanov, Nikolay K.
Rok vydání:	2016
Předmět:	Physics - Fluid Dynamics Nonlinear Sciences - Pattern Formation and Solitons Physics - Biological Physics
Druh dokumentu:	Working Paper
Popis:	We discuss propagation of traveling waves in a blood filled elastic artery with an axially symmetric dilatation (an idealized aneurysm). The processes in the injured artery are modelled by equations for the motion of the wall of the artery and by equation for the motion of the fluid (the blood). For the case when long-wave approximation holds the model equations are reduced to a version of the perturbed Korteweg-deVries equation. Exact travelling-wave solutions of this equation are obtained by the modified method of simplest equation where the differential equation of Abel is used as a simplest equation. A particular case of the obtained exact solution is discussed from the point of view of arterial mechanics. Comment: 18 pages, no figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1701.02371 Zobrazit plný text záznamu View this record from Arxiv