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Dynamical Motion Driven by Periodic Forcing on an Open Elastic Tube in Fluid

Published online by Cambridge University Press:  20 August 2015

Wanho Lee ,
Sookkyung Lim  and
Eunok Jung
Wanho Lee*
Affiliation:
Konkuk University, Department of Mathematics, 1 Hwayang-dong, Gwangjin-gu, Seoul, 143-701, Republic of Korea
Sookkyung Lim*
Affiliation:
University of Cincinnati, Department of Mathematical Sciences, 839 Old Chem, Cincinnati, OH 45221, USA
Eunok Jung*
Affiliation:
Konkuk University, Department of Mathematics, 1 Hwayang-dong, Gwangjin-gu, Seoul, 143-701, Republic of Korea
*
Email:lwh3958@konkuk.ac.kr
Email:limsk@math.uc.edu
Corresponding author.Email:junge@konkuk.ac.kr
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Abstract

We present a three dimensional model of an open elastic tube immersed in fluid to understand valveless pumping mechanism. A fluid-tube interaction problem is simulated by the volume conserved immersed boundary method which prevents the generation of spurious velocity field near the tube and local cluster of the tube surface. In order to explain pumping phenomena without valves, average net flow is measured by changing parameter values such as pumping frequency, compression duration, and pumping amplitude. Some frequencies that make the system reach maximal or minimal net flow are selected to study case by case. We also study the effectiveness of fluid mixing using the Shannon entropy increase rate.

Keywords

65-0465M0676D0576M20Valveless pumpingvolume conserved immersed boundary methodfluid mixingaverage net flow
Type
Research Article
Information
Communications in Computational Physics , Volume 12 , Issue 2 , August 2012 , pp. 494 - 514
Copyright
Copyright © Global Science Press Limited 2012

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