Title
A two-chamber model of valveless pumping using the immersed boundary method
Abstract
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.
Year
DOI
Venue
2008
10.1016/j.amc.2008.09.047
Applied Mathematics and Computation
Keywords
Field
DocType
Valveless,Pump,Immersed boundary method,Fluid–stucture interaction
Immersed boundary method,Compression (physics),Mean flow,Mathematical analysis,Numerical analysis,Mathematical model,Resonance,Periodic graph (geometry),Elasticity (economics),Mathematics
Journal
Volume
Issue
ISSN
206
2
0096-3003
Citations 
PageRank 
References 
2
0.49
2
Authors
2
Name
Order
Citations
PageRank
Sunmi Lee162.19
Eunok Jung2167.88