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Transport Out of a Gravitationally Stable Layer with the Help of a Faster Diffusing Substance: PDE Simulations and Scaling Laws

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Interface and Transport Dynamics

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 32))

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Abstract

Hydrodynamic equations of an incompressible fluid with two dissolved substances are integrated to simulate previously reported observations of double diffusive convection. These observations had been performed in a setup that is extremely easy to implement and to observe: a layer consisting of a mixture of a surfactant, glycerine and water is placed below water; fingers arising at the interface transport the surfactant upwards. The calculated mean distance between fingers, as well as their emergence time, both as functions of the initial concentration of glycerine, are described by power laws. These results are in agreement with analytical approximations and with the experimental observations.

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Author information

Authors and Affiliations

  1. Max-Planck-Institut fuer molekulare Physiologie, Postfach 500247, 44202, Dortmund, Germany

    Karsten Koetter, Malte Schmick & Mario Markus

Authors
  1. Karsten Koetter
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  2. Malte Schmick
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  3. Mario Markus
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Editor information

Editors and Affiliations

  1. Fachbereich Chemietechnik, Universität Dortmund, Emil-Figge-Str. 70, 44227, Dortmund, Germany

    Heike Emmerich

  2. Fachhochschule Karlsruhe, Moltkestr. 30, 76133, Karlsruhe, Germany

    Britta Nestler

  3. Physik von Transport und Verkehr, Universität Duisburg-Essen, Lotharstr. 1, 47048, Duisburg, Germany

    Michael Schreckenberg

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© 2003 Springer-Verlag Berlin Heidelberg

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Koetter, K., Schmick, M., Markus, M. (2003). Transport Out of a Gravitationally Stable Layer with the Help of a Faster Diffusing Substance: PDE Simulations and Scaling Laws. In: Emmerich, H., Nestler, B., Schreckenberg, M. (eds) Interface and Transport Dynamics. Lecture Notes in Computational Science and Engineering, vol 32. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07969-0_31

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  • DOI: https://doi.org/10.1007/978-3-662-07969-0_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07320-5

  • Online ISBN: 978-3-662-07969-0

  • eBook Packages: Springer Book Archive

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