An experimental investigation and a simple model of a valveless pump

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

Research output: Contribution to journalArticle

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 languageEnglish (US)
Article number033602
JournalPhysics of Fluids
Volume20
Issue number3
DOIs
StatePublished - Mar 2008

Fingerprint

Pumps
pumps
tubes
pumping
compressing
Ordinary differential equations
Flow velocity
Rigidity
flow velocity
Time series
Flow rate
rigidity
Water
differential equations
Experiments
water

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes
  • Condensed Matter Physics

Cite this

Bringley, T. T., Chilress, S., Vandenberghe, N., & Zhang, J. (2008). An experimental investigation and a simple model of a valveless pump. Physics of Fluids, 20(3), [033602]. https://doi.org/10.1063/1.2890790

An experimental investigation and a simple model of a valveless pump. / Bringley, Thomas T.; Chilress, Stephen; Vandenberghe, Nicolas; Zhang, Jun.

In: Physics of Fluids, Vol. 20, No. 3, 033602, 03.2008.

Research output: Contribution to journalArticle

Bringley, TT, Chilress, S, Vandenberghe, N & Zhang, J 2008, 'An experimental investigation and a simple model of a valveless pump', Physics of Fluids, vol. 20, no. 3, 033602. https://doi.org/10.1063/1.2890790
Bringley, Thomas T. ; Chilress, Stephen ; Vandenberghe, Nicolas ; Zhang, Jun. / An experimental investigation and a simple model of a valveless pump. In: Physics of Fluids. 2008 ; Vol. 20, No. 3.
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