Numerical investigation of the Liebau phenomenon

  • Alfio BorzìEmail author
  • Georg Propst
Original paper


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 


Valveless pumping 


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Copyright information

© Birkhäuser-Verlag 2003

Authors and Affiliations

  1. 1.Institut für Mathematik, Karl-Franzens-Universität GrazGrazAustria
  2. 2.Institut für Mathematik, Karl-Franzens-Universität GrazGrazAustria

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