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Dynamics of thermally driven capillary waves for two-dimensional droplets
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10.1063/1.3374437
/content/aip/journal/jcp/132/17/10.1063/1.3374437
http://aip.metastore.ingenta.com/content/aip/journal/jcp/132/17/10.1063/1.3374437
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

A diagram showing a fluctuating droplet and its parametrization in terms of . The total area of the droplet is fixed and equal to .

Image of FIG. 2.
FIG. 2.

Combined contour and velocity field plots showing the solutions for the velocity field given by Eqs. (34) and (35). The droplet contour is overlayed on the field plots for (a) standing and (b) traveling waves. The amplitude of the oscillations is chosen large enough so that the undulations can be observed. Parameters: and .

Image of FIG. 3.
FIG. 3.

The dimensionless frequency , obtained by taking the square root of Eq. (47), is plotted as a function of for (a) and (b) . The open circles (○), bullets (●), and open squares (◻) show the positive and negative real parts, and the imaginary part, respectively.

Image of FIG. 4.
FIG. 4.

The dynamic structure factor, , as a function of for . The solid (blue), dashed (red), dotted (green), and dashed-dotted (black) lines correspond to , 19.76, 0.1976, and 0.001 976, respectively. The dynamic structure factor scales as at intermediate frequencies for small and as at large angular frequencies.

Image of FIG. 5.
FIG. 5.

Snapshot of a fluctuating droplet simulated using the particle-based simulation technique (Ref. 36) with 20% -80% particles. Average density in units of inverse . Parameters: , , and .

Image of FIG. 6.
FIG. 6.

The averaged Fourier coefficients, and , for and . The deviation at indicates the presence of fourfold anisotropy due to the cubic cell structure. Bullets (●, ○) and squares (◻, ◼) correspond to and, , respectively. The results are independent of the viscosity of the fluid as expected (filled symbols: SRD collisions every time step, open symbols: SRD collisions every tenth time step). Parameters: , , , and .

Image of FIG. 7.
FIG. 7.

Static structure factor, , as a function of mode number for and . The SRD collisions are performed at every time step [shown in bullets (●)], and at every tenth time step [shown in squares (◻)]. The corresponding average radii are given by and , respectively. The solid line is a fit to Eq. (16) which yields . Parameters: , , , and .

Image of FIG. 8.
FIG. 8.

Dynamic structure factor, , as a function of time for large damping . The bullets (●), open circles (○), and filled squares (◻) correspond to , 3, and 4, respectively. The solid lines are obtained by numerically integrating Eq. (48). The average droplet radius is , , and . Parameters: , , , , and .

Image of FIG. 9.
FIG. 9.

Dynamic structure factor, , as a function of time for moderate damping . The bullets (●), open circles (○), and filled squares (◻) correspond to , 3, and 4, respectively. The solid lines are obtained by numerically integrating Eq. (48) using . The viscosity is lowered by performing SRD collisions every tenth time step. The average droplet radius is and . Parameters: , , , , and .

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/content/aip/journal/jcp/132/17/10.1063/1.3374437
2010-05-03
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Dynamics of thermally driven capillary waves for two-dimensional droplets
http://aip.metastore.ingenta.com/content/aip/journal/jcp/132/17/10.1063/1.3374437
10.1063/1.3374437
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