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Numerical investigation of the Liebau phenomenon

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Abstract

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.

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Authors and Affiliations

  1. Institut für Mathematik, Karl-Franzens-Universität Graz, Heinrichstr. 36, 8010, Graz, Austria

    Alfio Borzì

  2. Institut für Mathematik, Karl-Franzens-Universität Graz, Heinrichstr. 36, 8010, Graz, Austria

    Georg Propst

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  1. Alfio Borzì
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  2. Georg Propst
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Correspondence to Alfio Borzì.

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Borzì, A., Propst, G. Numerical investigation of the Liebau phenomenon . Z. angew. Math. Phys. 54, 1050–1072 (2003). https://doi.org/10.1007/s00033-003-1108-x

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  • DOI: https://doi.org/10.1007/s00033-003-1108-x

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