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.
Similar content being viewed by others
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
D. Schwabe, P. Hintz, S. Frank, Microgravity Sci. Technol. 9, 163 (1996)
E. Hofmann, H.C. Kuhlmann, Phys. Fluids. 23, 0721106 (2011)
D.O. Pushkin, D.E. Melnikov, V.M. Shevtsova, Phys. Rev. Lett. 106, 234501 (2011)
H.C. Kuhlmann, F.H. Muldoon, Phys. Rev. E 85, 046310 (2012)
F.H. Muldoon, H.C. Kuhlmann, Comput. Fluids. 88, 43 (2013)
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
F.H. Muldoon, H.C. Kuhlmann, Physica D 253, 40 (2013)
R. Mukin, H.C. Kuhlmann, Phys. Rev. E 88, 053016 (2013)
I. Ueno, S. Tanaka, H. Kawamura, Phys. Fluids 15, 408 (2003)
D. Schwabe, A.I. Mizev, M. Udhayasankar, S. Tanaka, Phys. Fluids 19, 072102 (2007)
D. Schwabe (2014) (private communication)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
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
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjst/e2015-02362-6