Skip to main content
SpringerLink
Log in

On the different manifestations of particle accumulation structures (PAS) in thermocapillary flows

  • Regular Article
  • Published:
The European Physical Journal Special Topics Aims and scope Submit manuscript

Abstract

Particle de-mixing in flows in liquid-bridges driven by the Marangoni effect is investigated using primarily analytical models of the flow. The mechanism of particle–free-surface collisions is shown to explain the formation of experimentally observed particle depletion zones. This mechanism causes a mapping (or transfer) of particles moving on certain streamlines to other streamlines resulting in creation of a distinct depletion zone. Moreover, we demonstrate line-like particle accumulation along a chaotic streamline corresponding to SL2-PAS which is closed by a trajectory segment which is created by particle–free-surface interaction. The resulting limit cycle is stable due to the combined properties of the bulk transport and gathering at the free surface.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

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

    Google Scholar 

  2. D. Schwabe, S. Frank, Adv. Space Res. 23, 1191 (1999)

    Article  ADS  Google Scholar 

  3. S. Tanaka, H. Kawamura, I. Ueno, D. Schwabe, Phys. Fluids 18, 067103 (2006)

    Article  ADS  Google Scholar 

  4. D. Schwabe, S. Tanaka, A. Mizev, H. Kawamura, Microgravity Sci. Technol. 18, 117 (2006)

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  6. Y. Abe, I. Ueno, H. Kawamura, Microgravity Sci. Technol. 19, 84 (2007)

    Article  Google Scholar 

  7. H.C. Kuhlmann, E. Hofmann, Eur. Phys. J. Special Topics 192, 3 (2011), ISSN 1951-6355, http://www.springerlink.com/content/m34g674748103886/

    Article  URL  ADS  Google Scholar 

  8. D. Melnikov, D. Pushkin, V. Shevtsova, Eur. Phys. J. Special Topics 192, 29 (2011), ISSN 1951-6355, http://www.springerlink.com/content/74425744r89h0j35/

    Article  URL  ADS  Google Scholar 

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

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  12. H.C. Kuhlmann, F.H. Muldoon, Phys. Rev. Lett. 108, 249401 (2012), http://link.aps.org/doi/10.1103/PhysRevLett.108.249401

    Article  URL  ADS  Google Scholar 

  13. D.O. Pushkin, D.E. Melnikov, V.M. Shevtsova, Phys. Rev. Lett. 108, 249402 (2012), http://link.aps.org/doi/10.1103/PhysRevLett.108.249402

    Article  URL  ADS  Google Scholar 

  14. F.H. Muldoon, H.C. Kuhlmann, Int. J. Multiphase Flow (submitted) (2012)

  15. J. Leypoldt, H.C. Kuhlmann, H.J. Rath, J. Fluid Mech. 414, 285 (2000)

    Article  ADS  MATH  Google Scholar 

  16. F.H. Muldoon, H.C. Kuhlmann, Physica D (submitted) (2012)

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

    Article  ADS  Google Scholar 

  18. H.C. Kuhlmann, F.H. Muldoon, J. Jpn. Soc. Microgravity Appl. 29, 64 (2012)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Fluid Mechanics and Heat Transfer, Vienna University of Technology, Resselgasse 3, 1040, Vienna, Austria

    H. C. Kuhlmann & F. H. Muldoon

Authors
  1. H. C. Kuhlmann
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. H. Muldoon
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to H. C. Kuhlmann.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kuhlmann, H.C., Muldoon, F.H. On the different manifestations of particle accumulation structures (PAS) in thermocapillary flows. Eur. Phys. J. Spec. Top. 219, 59–69 (2013). https://doi.org/10.1140/epjst/e2013-01781-7

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjst/e2013-01781-7

Keywords

Search

Navigation