New analytic solutions for wave propagation in flexible, tapered vessels with reference to mammalian arteries

DOI10.1017/jfm.2011.424zbMath1241.76470OpenAlexW2096709440MaRDI QIDQ2893809

George Papadakis

Publication date: 26 June 2012

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10044/1/15389

zbMATH Keywords

blood flowflow-vessel interactions

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Physiological flows (76Z05) Physiological flow (92C35)

Related Items (3)

Analytic solution for pulse wave propagation in flexible tubes with application to a patient-specific arterial tree ⋮ Method of characteristics for transient, spherical flows ⋮ Transient solute transport with sorption in Poiseuille flow

Cites Work

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• One-dimensional modelling of a vascular network in space-time variables
• Mathematical modelling of arterial fluid dynamics
• A novel pressure-velocity formulation and solution method for fluid-structure interaction problems
• On the one-dimensional theory of blood flow in the larger vessels
• Predicting Arterial Flow and Pressure Dynamics Using a 1D Fluid Dynamics Model with a Viscoelastic Wall
• A wave propagation model of blood flow in large vessels using an approximate velocity profile function
• Coupling 3D and 1D fluid–structure‐interaction models for wave propagation in flexible vessels using a finite volume pressure‐correction scheme
• The Fluid Mechanics of Large Blood Vessels
• Finite Volume Methods for Hyperbolic Problems
• Pulse Wave Propagation in the Arterial Tree

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