An experimental investigation and a simple model of a valveless pump

Thomas T. Bringley; Stephen Chilress; Nicolas Vandenberghe; Jun Zhang

doi:10.1063/1.2890790

An experimental investigation and a simple model of a valveless pump

Thomas T. Bringley, Stephen Chilress, Nicolas Vandenberghe, Jun Zhang

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We construct a valveless pump consisting of a section of elastic tube and a section of rigid tube connected in a closed loop and filled with water. By periodically squeezing the elastic tube at an asymmetric location, a persistent flow around the tubes is created. This effect, called the Liebau phenomenon or valveless pumping, has been known for some time but is still not completely understood. We study the flow rates for various squeezing locations, frequencies, and elastic tube rigidities. To understand valveless pumping, we formulate a simple model that can be described by ordinary differential equations. The time series of flow velocities generated by the model are qualitatively and quantitatively similar to those seen in the experiment. The model provides a physical explanation of valveless pumping, and it allows us to identify the essential pumping mechanisms.

Original language	English (US)
Article number	033602
Journal	Physics of Fluids
Volume	20
Issue number	3
DOIs	https://doi.org/10.1063/1.2890790
State	Published - Mar 2008

ASJC Scopus subject areas

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1063/1.2890790

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title = "An experimental investigation and a simple model of a valveless pump",

abstract = "We construct a valveless pump consisting of a section of elastic tube and a section of rigid tube connected in a closed loop and filled with water. By periodically squeezing the elastic tube at an asymmetric location, a persistent flow around the tubes is created. This effect, called the Liebau phenomenon or valveless pumping, has been known for some time but is still not completely understood. We study the flow rates for various squeezing locations, frequencies, and elastic tube rigidities. To understand valveless pumping, we formulate a simple model that can be described by ordinary differential equations. The time series of flow velocities generated by the model are qualitatively and quantitatively similar to those seen in the experiment. The model provides a physical explanation of valveless pumping, and it allows us to identify the essential pumping mechanisms.",

author = "Bringley, {Thomas T.} and Stephen Chilress and Nicolas Vandenberghe and Jun Zhang",

note = "Funding Information: We would like to thank Charles Peskin and Michael Shelley for helpful insights and suggestions. This research is supported by Department of Energy Grant No. DE-FG0288ER25053 and National Science Foundation Grant No. DMS-9980069. ",

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AU - Chilress, Stephen

AU - Vandenberghe, Nicolas

AU - Zhang, Jun

N1 - Funding Information: We would like to thank Charles Peskin and Michael Shelley for helpful insights and suggestions. This research is supported by Department of Energy Grant No. DE-FG0288ER25053 and National Science Foundation Grant No. DMS-9980069.

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N2 - We construct a valveless pump consisting of a section of elastic tube and a section of rigid tube connected in a closed loop and filled with water. By periodically squeezing the elastic tube at an asymmetric location, a persistent flow around the tubes is created. This effect, called the Liebau phenomenon or valveless pumping, has been known for some time but is still not completely understood. We study the flow rates for various squeezing locations, frequencies, and elastic tube rigidities. To understand valveless pumping, we formulate a simple model that can be described by ordinary differential equations. The time series of flow velocities generated by the model are qualitatively and quantitatively similar to those seen in the experiment. The model provides a physical explanation of valveless pumping, and it allows us to identify the essential pumping mechanisms.

AB - We construct a valveless pump consisting of a section of elastic tube and a section of rigid tube connected in a closed loop and filled with water. By periodically squeezing the elastic tube at an asymmetric location, a persistent flow around the tubes is created. This effect, called the Liebau phenomenon or valveless pumping, has been known for some time but is still not completely understood. We study the flow rates for various squeezing locations, frequencies, and elastic tube rigidities. To understand valveless pumping, we formulate a simple model that can be described by ordinary differential equations. The time series of flow velocities generated by the model are qualitatively and quantitatively similar to those seen in the experiment. The model provides a physical explanation of valveless pumping, and it allows us to identify the essential pumping mechanisms.

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An experimental investigation and a simple model of a valveless pump

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