One-dimensional mathematical model of the flow through a collapsible tube with applications to blood flow through human vessels

Abstract eng:
The simulation of the fluid flow through elastic pipes has a great application in a blood flow through human vessels – investigation of such phenomena as an atheriosclerosis generation in artery walls, the Korotkoff's sounds generation or modeling of vascular mechanical substitutes (the so called "stents") and is therefore widely studied. In this text we model the flow through collapsible pipes by the time-dependent, spatially one-dimensional model consisting of the balances of mass, momentum, and the coresponding material law. The experimental research of the problem is our aim as well – we introduce the new experimental set-up for testing the flow throw collapsible tube samples, which has been currently finished at ČVUT Praha.

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