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Influence of vibrations on thermodiffusion in binary mixture: A benchmark of numerical solutions
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10.1063/1.2409622
/content/aip/journal/pof2/19/1/10.1063/1.2409622
http://aip.metastore.ingenta.com/content/aip/journal/pof2/19/1/10.1063/1.2409622

Figures

Image of FIG. 1.
FIG. 1.

Dependence of the Soret coefficient on the mass fraction of water in water/isopropanol binary mixture.

Image of FIG. 2.
FIG. 2.

Soret effect and diffusion in liquid mixtures: experimental scenario. The temperature fields are shown by shadows.

Image of FIG. 3.
FIG. 3.

Geometry of the problem.

Image of FIG. 4.
FIG. 4.

Dependence of (a) the concentration profile (local characteristic) and (b) the Soret separation (integral characteristic) on the space and time steps; (a) MSL results, (b) LSR results. Test 1.

Image of FIG. 5.
FIG. 5.

(Color online) Benchmark tests.

Image of FIG. 6.
FIG. 6.

Isolines of steady-state temperature and concentration in the vertical midplane ; test 1: static gravity, .

Image of FIG. 7.
FIG. 7.

(a) Temperature and (b) concentration profiles in the direction of applied when . Dotted line in graph (a) corresponds to a linear profile. Test 1.

Image of FIG. 8.
FIG. 8.

Time evolution of the Soret separation, , corresponding to different gravity levels with , , .

Image of FIG. 9.
FIG. 9.

Dependence of the steady-state Soret separation, , on the gravity level when , .

Image of FIG. 10.
FIG. 10.

Time evolution of the velocity, temperature, and concentration at point ; dotted line when . Test 2: Pure oscillatory perturbations with .

Image of FIG. 11.
FIG. 11.

Time evolution of the Soret separation; test 2: pure oscillatory perturbations with .

Image of FIG. 12.
FIG. 12.

Test 4. Time evolution of the velocity, temperature, and concentration at point near the hot wall (solid lines). The dashed line shows signals near the cold wall at point .

Image of FIG. 13.
FIG. 13.

Time evolution of the Soret separation; test 4: pure oscillatory perturbations with .

Image of FIG. 14.
FIG. 14.

Snapshots of isotherms of the temperature deviations from linear profile at the time moments marked in Fig. 12: (a) , (b) ; test 4.

Image of FIG. 15.
FIG. 15.

Test 4: Phase planes of the mass fraction obtained by different teams. (a) MSL, (b) YS, (c) LSR.

Tables

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Generic image for table
Table I.

Physical properties of a binary mixture.

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Table II.

Influence of the time and space steps on iterations number (YS team). Test 1.

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Table III.

Tests cases. The residual gravity is shown in dimensional and in dimensionless (Gr, ) values.

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Table IV.

Test 1. Benchmark results.

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Table V.

Test 2. Benchmark results.

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Table VI.

Test 3. Benchmark results.

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Table VII.

Amplitudes of oscillations of different quantities. Comparison of different tests.

Generic image for table
Table VIII.

Test 4. Benchmark results.

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/content/aip/journal/pof2/19/1/10.1063/1.2409622
2007-01-12
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Influence of vibrations on thermodiffusion in binary mixture: A benchmark of numerical solutions
http://aip.metastore.ingenta.com/content/aip/journal/pof2/19/1/10.1063/1.2409622
10.1063/1.2409622
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