A two-chamber model of valveless pumping using the immersed boundary method

被引：3
|
作者：
Lee, Sunmi [1 ]
Jung, Eunok [1 ]
机构：
[1] Konkuk Univ, Dept Math, Seoul 143701, South Korea
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 206卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Valveless; Pump; Immersed boundary method; Fluid-stucture interaction;
D O I：
10.1016/j.amc.2008.09.047
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a new mathematical model of valveless pumping for a tube with two elastic chambers, which is motivated by the Liebau's two-tank model. The tube consists of partially soft and partially (almost) rigid and the periodic pumping is applied at an asymmetric location of the soft tube. The immersed boundary method is used to investigate the important characteristics of valveless pumping as the previous experiments and mathematical models have been discovered. We have observed the existence of a unidirectional mean flow and the dependence of mean flows on the frequency and the compression duration of the periodic pumping. We are able to explain the occurrence of local maximum or minimum mean flows due to the resonances of the system. (c) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：876 / 884
页数：9
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