On the evolution of shock-waves in mathematical models of the aorta-Reference-Cited by-同舟云学术

On the evolution of shock-waves in mathematical models of the aorta

Published:1981-01 Issue:3 Volume:22 Page:257-269
ISSN:0334-2700
Container-title:The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
language:en
Short-container-title:J. Aust. Math. Soc. Series B, Appl. Math

Author:

Forbes L. K.

Abstract

AbstractThe one-dimensional, non-linear theory of pulse propagation in large arteries is examined in the light of the analogy which exists with gas dynamics. Numerical evidence for the existence of shock-waves in current one-dimensional blood-flow models is presented. Some methods of suppressing shock-wave development in these models are indicated.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics

Reference18 articles.

1. Nonlinear wave propagation in viscoelastic tubes: Application to aortic rupture

2. Steady Flow in Collapsible Tubes

3. Unsteady flow in a collapsible tube subjected to external pressure or body forces

4. A mathematical model for nonlinear analysis of flow pulses utilizing an integral technique

5. A note on the solution of the one-dimensional unsteady equations of arterial blood flow by the method of characteristics

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Nonlinear pressure–velocity waveforms in large arteries, shock waves and wave separation;Wave Motion;2019-01

2. Nonlinear behaviour of interacting mid-latitude atmospheric vortices;Journal of Engineering Mathematics;2016-08-20

3. Outflow Boundary Conditions for Blood Flow in Arterial Trees;PLOS ONE;2015-05-22

4. Shock waves in flow of an incompressible liquid in collapsing pipes: Application to large blood vessels;Fluid Dynamics;1988

5. Damping mechanisms and shock-like transitions in the human arterial tree;ZAMP Zeitschrift f�r angewandte Mathematik und Physik;1985-03