This article is cited in 10 papers

Some exact solutions of the problem of liquid flow in the contracting or expanding vessel

A. S. Mozokhina, S. I. Mukhin

Lomonosov Moscow State University

Abstract: Some exact analytical solutions of the quasi-onedimensional hemodynamic equations in the contracting or expanding vessel are considered in the article. Such equations appear in the modeling of lymph flow in the lymphatic system. Solutions of the linearised problem in the case of periodical changing of the vessel lumen with small amplitude are presented. Also the solution of the not linear problem is obtained in the case when crosssection area depends only on time. Analytical solutions are reproduced numerically.

Keywords: hemodynamic equations, quasi-onedimensional approach, contractions, analytical solutions.

Received: 20.06.2017
Revised: 29.05.2018
Accepted: 18.06.2018

DOI: 10.1134/S0234087919030092

 English version: Mathematical Models and Computer Simulations, 2019, 11:6, 894–904

Bibliographic databases:

•