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Particle-depletion dynamics in axisymmetric thermocapillary flows

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An Erratum to this article was published on 21 July 2015

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Abstract

The removal of suspended particles from the interior of a thermocapillary liquid bridge via a finite-particle-size effect restricting the particle motion near the free surface is analyzed in the framework of a model flow. The particle depletion occurs on the same short time scale as does the particle accumulation in experiments. Furthermore, the time scale diverges in a similar manner for decreasing particle size. The dependence of the time scale for particle accumulation on the particle size is explained in terms of a diverging return time to the free surface for those finite-size particles which are subject to the particle-free surface-interaction.

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Change history

  • 21 July 2015

    "The numerical data (open symbols) in Fig. 2 were found to be erroneous. Here, we correct the numerical data for the prediction of the radius of the depletion zone for Pr = 28 (open triangles). In addition, we demonstrate the effect of gravity using the Boussinesq approximation for the flow field (crosses). Furthermore, recent experimental data (dots) are provided, obtained using an accurately aligned liquid bridge."

References

  1. D. Schwabe, P. Hintz, S. Frank, Microgravity Sci. Technol. 9, 163 (1996)

    Google Scholar 

  2. E. Hofmann, H.C. Kuhlmann, Phys. Fluids. 23, 0721106 (2011)

    Article  Google Scholar 

  3. D.O. Pushkin, D.E. Melnikov, V.M. Shevtsova, Phys. Rev. Lett. 106, 234501 (2011)

    Article  ADS  Google Scholar 

  4. H.C. Kuhlmann, F.H. Muldoon, Phys. Rev. E 85, 046310 (2012)

    Article  ADS  Google Scholar 

  5. F.H. Muldoon, H.C. Kuhlmann, Comput. Fluids. 88, 43 (2013)

    Article  MathSciNet  Google Scholar 

  6. H.C. Kuhlmann, R.V. Mukin, T. Sano, I. Ueno, Fluid Dyn. Res. 46, 041421 (2014), ISSN 1873-7005, http://iopscience.iop.org/1873-7005/46/4/041421

    Article  ADS  Google Scholar 

  7. F.H. Muldoon, H.C. Kuhlmann, Physica D 253, 40 (2013)

    Article  MathSciNet  ADS  Google Scholar 

  8. R. Mukin, H.C. Kuhlmann, Phys. Rev. E 88, 053016 (2013)

    Article  ADS  Google Scholar 

  9. I. Ueno, S. Tanaka, H. Kawamura, Phys. Fluids 15, 408 (2003)

    Article  ADS  Google Scholar 

  10. D. Schwabe, A.I. Mizev, M. Udhayasankar, S. Tanaka, Phys. Fluids 19, 072102 (2007)

    Article  ADS  Google Scholar 

  11. D. Schwabe (2014) (private communication)

Download references

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Authors and Affiliations

  1. Vienna University of Technology, Institute of Fluid Mechanics and Heat Transfer, Getreidemarkt 9, 1060, Vienna, Austria

    H.C. Kuhlmann & T. Lemée

Authors
  1. H.C. Kuhlmann
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  2. T. Lemée
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Correspondence to H.C. Kuhlmann.

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Kuhlmann, H., Lemée, T. Particle-depletion dynamics in axisymmetric thermocapillary flows. Eur. Phys. J. Spec. Top. 224, 309–318 (2015). https://doi.org/10.1140/epjst/e2015-02362-6

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  • DOI: https://doi.org/10.1140/epjst/e2015-02362-6

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