Novel Characteristics of Valveless Pumping

Stine Timmermann, Johnny T. Ottesen

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Resumé

This study investigates the occurrence of valveless pumping in a fluidfilled

system consisting of two open tanks connected by an elastic tube. We

show that directional flow can be achieved by introducing a periodic pinching

applied at an asymmetrical location along the tube, and that the flow

direction depends on the pumping frequency. We propose a relation between

wave propagation velocity, tube length, and resonance frequencies associated

with shifts in the pumping direction using numerical simulations. The eigenfrequencies

of the system are estimated from the linearized system, and we

show that these eigenfrequencies constitute the resonance frequencies and

the horizontal slope frequencies of the system; 'horizontal slope frequency'

being a new concept. A simple model is suggested, explaining the effect of

the gravity driven part of the oscillation observed in response to the tank

and tube diameter changes. Results are partly compared with experimental

findings.

OriginalsprogEngelsk
TidsskriftPhysics of Fluids
Vol/bind21
Udgave nummer5
Antal sider14
ISSN1070-6631
DOI
StatusUdgivet - 2009

Bibliografisk note

Art. no. 224501

Emneord

    Citer dette

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    title = "Novel Characteristics of Valveless Pumping",
    abstract = "This study investigates the occurrence of valveless pumping in a fluidfilledsystem consisting of two open tanks connected by an elastic tube. Weshow that directional flow can be achieved by introducing a periodic pinchingapplied at an asymmetrical location along the tube, and that the flowdirection depends on the pumping frequency. We propose a relation betweenwave propagation velocity, tube length, and resonance frequencies associatedwith shifts in the pumping direction using numerical simulations. The eigenfrequenciesof the system are estimated from the linearized system, and weshow that these eigenfrequencies constitute the resonance frequencies andthe horizontal slope frequencies of the system; 'horizontal slope frequency'being a new concept. A simple model is suggested, explaining the effect ofthe gravity driven part of the oscillation observed in response to the tankand tube diameter changes. Results are partly compared with experimentalfindings.",
    keywords = "Valveless pumping, valveless flow, elastic tube, complex flow, gravitationally driven flow",
    author = "Stine Timmermann and Ottesen, {Johnny T.}",
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    Novel Characteristics of Valveless Pumping. / Timmermann, Stine; Ottesen, Johnny T.

    I: Physics of Fluids, Bind 21, Nr. 5, 2009.

    Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

    TY - JOUR

    T1 - Novel Characteristics of Valveless Pumping

    AU - Timmermann, Stine

    AU - Ottesen, Johnny T.

    N1 - Art. no. 224501

    PY - 2009

    Y1 - 2009

    N2 - This study investigates the occurrence of valveless pumping in a fluidfilledsystem consisting of two open tanks connected by an elastic tube. Weshow that directional flow can be achieved by introducing a periodic pinchingapplied at an asymmetrical location along the tube, and that the flowdirection depends on the pumping frequency. We propose a relation betweenwave propagation velocity, tube length, and resonance frequencies associatedwith shifts in the pumping direction using numerical simulations. The eigenfrequenciesof the system are estimated from the linearized system, and weshow that these eigenfrequencies constitute the resonance frequencies andthe horizontal slope frequencies of the system; 'horizontal slope frequency'being a new concept. A simple model is suggested, explaining the effect ofthe gravity driven part of the oscillation observed in response to the tankand tube diameter changes. Results are partly compared with experimentalfindings.

    AB - This study investigates the occurrence of valveless pumping in a fluidfilledsystem consisting of two open tanks connected by an elastic tube. Weshow that directional flow can be achieved by introducing a periodic pinchingapplied at an asymmetrical location along the tube, and that the flowdirection depends on the pumping frequency. We propose a relation betweenwave propagation velocity, tube length, and resonance frequencies associatedwith shifts in the pumping direction using numerical simulations. The eigenfrequenciesof the system are estimated from the linearized system, and weshow that these eigenfrequencies constitute the resonance frequencies andthe horizontal slope frequencies of the system; 'horizontal slope frequency'being a new concept. A simple model is suggested, explaining the effect ofthe gravity driven part of the oscillation observed in response to the tankand tube diameter changes. Results are partly compared with experimentalfindings.

    KW - Valveless pumping

    KW - valveless flow

    KW - elastic tube

    KW - complex flow

    KW - gravitationally driven flow

    U2 - 10.1063/1.3114603

    DO - 10.1063/1.3114603

    M3 - Journal article

    VL - 21

    JO - Physics of Fluids

    JF - Physics of Fluids

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