Der Fördereffekt in ventillosen, elastischen Leitungen

Rath, H. J.; Teipel, I.

doi:10.1007/bf01797309

Cited by 23 publications

(30 citation statements)

References 2 publications

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“…1. Later, Rath and Teipel [10] considered a nonlinear model for an elastic tube connecting two tanks filled with water. In both papers there were indications that the Liebau phenomenon could also occur using rigid pipes.…”

Section: Introductionmentioning

confidence: 99%

“…The models proposed in [2,10,11] never received much attention probably because there was no real need for valveless pumps which are in general less efficient than pumps with valves. However, there is nowadays renewed interest in valveless pumping.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper we consider two-tanks configurations (as opposed to annular systems), in particular we investigate the models considered in [2,10,11]. Despite differences among them, the Liebau phenomenon can be observed with all these models.…”

Section: Introductionmentioning

confidence: 99%

“…The numerical algorithm is described in detail and results of simulations are presented. In [10] it is argued that the nonlinearity in the model is responsible for the valveless pumping effect. In this paper we show that this is not the case.…”

Section: Introductionmentioning

confidence: 99%

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Numerical investigation of the Liebau phenomenon

Borzì

Propst

2003

Zeitschrift f�r Angewandte Mathematik und Physik (ZAMP)

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The Liebau phenomenon is the occurrence of valveless pumping through the application of a periodic force at a place which lies asymmetric with respect to system configuration. This paper is concerned with two different physical configurations and respective models. Comparison and derivation among the models is discussed. Accurate numerical schemes which solve these models are presented. By means of numerical simulations it is investigated under which conditions valveless pumping takes place. Mathematics Subject Classification (2000). 76B15, 92C35, 35L45, 35L50, 65M99.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Numerical investigation of the Liebau phenomenon

Borzì

Propst

2003

Zeitschrift f�r Angewandte Mathematik und Physik (ZAMP)

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“…A one-dimensional (1-D) model also was constructed and solved numerically by Rath et al 12 to study an open-loop valveless pumping system. Meanwhile, in 1983, Takagi and Saijo 13 studied, both theoretically and experimentally, the performance of a valveless piston pump under non-resonant conditions.…”

Section: 7mentioning

confidence: 99%

Effects of Actuator Impact on the Nonlinear Dynamics of a Valveless Pumping System

Yang

Wang

2011

J. Mech. Med. Biol.

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Valveless pumping assists in fluid transport in various biomedical and engineering systems. Here we focus on one factor that has often been overlooked in previous studies of valveless pumping, namely the impact that a compression actuator exerts upon the pliant part of the system when they collide. In particular, a fluid-filled closed-loop system is considered, which consists of two distensible reservoirs connected by two rigid tubes, with one of the reservoirs compressed by an actuator at a prescribed frequency. A lumped-parameter model with constant coefficients accounting for mass and momentum balance in the system is constructed. Based upon such a model, a mean flow in the fluid loop can only be produced by system asymmetry and the nonlinear effects associated with actuator impact. Through asymptotic and numerical solutions of the model, a systematic parameter study is carried out, thereby revealing the rich and complex system dynamics that strongly depends upon the driving frequency of the actuator and other geometrical and material properties of the system. The driving-frequency dependence of the mean flowrate in the fluid loop and that of the mean reservoir pressures also are examined for a number of representative cases.

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Literaturverzeichnis

Rath

1980

Medizinische Informatik Und Statistik

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Der Fördereffekt in ventillosen, elastischen Leitungen

Cited by 23 publications

References 2 publications

Numerical investigation of the Liebau phenomenon

Numerical investigation of the Liebau phenomenon

Effects of Actuator Impact on the Nonlinear Dynamics of a Valveless Pumping System

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