An experimental investigation and a simple model of valveless pump

Thomas Bringley (1) , Stephen Childress (1) , Nicolas Vandenberghe (1, 2) , Jun Zhang (3, 1)

1 AML - COURANT INSTITUTE - Applied Math Laboratory Courant Institute of Mathematical Sciences
2 IRPHE - Institut de Recherche sur les Phénomènes Hors Equilibre
3 Department of Physics [New York]

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.

Domaines: Mécanique des fluides [physics.class-ph]

Thomas Bringley, Stephen Childress, Nicolas Vandenberghe, Jun Zhang. An experimental investigation and a simple model of valveless pump. Physics of Fluids, 2008, 20 (3), pp.033602. ⟨10.1063/1.2890790⟩. ⟨hal-00327520⟩