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Dynamics of a binary mixture subjected to a temperature gradient and oscillatory forcing

Published online by Cambridge University Press:  13 February 2015

V. Shevtsova ,
Y. A. Gaponenko ,
V. Sechenyh ,
D. E. Melnikov ,
T. Lyubimova  and
A. Mialdun
V. Shevtsova*
Affiliation:
Microgravity Research Centre, CP-165/62, Université Libre de Bruxelles (ULB), av. F. D. Roosevelt, 50, B-1050 Brussels, Belgium
Y. A. Gaponenko
Affiliation:
Microgravity Research Centre, CP-165/62, Université Libre de Bruxelles (ULB), av. F. D. Roosevelt, 50, B-1050 Brussels, Belgium
V. Sechenyh
Affiliation:
Microgravity Research Centre, CP-165/62, Université Libre de Bruxelles (ULB), av. F. D. Roosevelt, 50, B-1050 Brussels, Belgium
D. E. Melnikov
Affiliation:
Microgravity Research Centre, CP-165/62, Université Libre de Bruxelles (ULB), av. F. D. Roosevelt, 50, B-1050 Brussels, Belgium
T. Lyubimova
Affiliation:
Institute of Continuous Media Mechanics UB RAS, 1, Koroleva str., 614013 Perm, Russia
A. Mialdun
Affiliation:
Microgravity Research Centre, CP-165/62, Université Libre de Bruxelles (ULB), av. F. D. Roosevelt, 50, B-1050 Brussels, Belgium
*
†Email address for correspondence: [email protected]
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Abstract

We examine the dynamics of a binary mixture in a cubic cell subjected to a temperature differential and oscillatory forcing. The Soret effect, which is negative in the present study, provides a coupling mechanism by which a temperature gradient establishes a concentration gradient in a mixture. We present the results of experiments that were performed on the International Space Station (ISS) and compare the observations with the results of direct numerical simulations. The evolution of temperature and concentration fields is investigated by optical digital interferometry. One advantage of the experimental technique is the observation of the fields along two perpendicular directions of the cell, allowing us to restore the three-dimensional field. Experimental evidence disproves speculations that the ISS microgravity environment always affects diffusion-controlled processes. Furthermore, we demonstrate that imposed vibrations with constant frequency and amplitude create slow mean flows and that they do influence the diffusion kinetics. The perturbation of the diffusive fields scales as the square of the vibrational velocity. In addition to calculations of the full three-dimensional Navier–Stokes equations, a two-time-scale computational methodology is used for situations in which the forcing period is very small compared to the natural time scales of the problem. The simulations show excellent agreement with experimental observations.

JFM classification

Instability: Instability Nonlinear Dynamical Systems: Pattern formation
Type
Papers
Information
Journal of Fluid Mechanics , Volume 767 , 25 March 2015 , pp. 290 - 322
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© 2015 Cambridge University Press 

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Shevtsova et al. supplementary movie

Full caption: Evolution of the concentration field in two orthogonal planes obtained on the ISS by means of interferometry when f=2 Hz and A=44mm. Short caption: IVIDIL, two views in diffusive regime

Download Shevtsova et al. supplementary movie(Video)
Video 20.7 MB

Shevtsova et al. supplementary movie

Full caption: Evolution of the concentration field in two orthogonal planes obtained on the ISS by means of interferometry when f=2 Hz and A=44mm. Short caption: IVIDIL, two views in diffusive regime

Download Shevtsova et al. supplementary movie(Video)
Video 8.7 MB

Shevtsova et al. supplementary movie

Full caption: 3D evolution of the concentration field restored from the experiment on the ISS when f=1 Hz and A=68mm. Short caption: IVIDIL, 3D evolution in diffusive regime

Download Shevtsova et al. supplementary movie(Video)
Video 11.4 MB

Shevtsova et al. supplementary movie

Full caption: 3D evolution of the concentration field restored from the experiment on the ISS when f=1 Hz and A=68mm. Short caption: IVIDIL, 3D evolution in diffusive regime

Download Shevtsova et al. supplementary movie(Video)
Video 5.9 MB