Data for Desmond & Weeks, PRL 2015
Data from experiments studying flow of dense emulsions.
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Data from experiments studying dense oil-in-water emulsions,
in a quasi-2D geometry, flowing around a corner
These data sets were studied in:
- "Experimental measurements of stress redistribution
in flowing emulsions"
KW Desmond and ER Weeks, Phys. Rev. Lett. 115, 098302 (2015).
We had a table in the preprint version
(arXiv:1306.0269v1)
that got cut to save
space. Here it is, it contains the details about the
experiments. The columns are: number of experiments done with
each set of parameters, rho=size ratio R_b/R_s, R_s and R_b are
the average 2D radii of the big and small droplet species, n_r =
N_b/N_s is the number ratio of the two species, w_x and w_y are
the widths of the sample chamber, and gamma-dot global is the
global strain rate in inverse hours. The units for R_s, R_b,
w_x, and w_y are all mm. The last row lists the uncertainty of
the data in each column.
corrected table:
| number of expts | rho |
n_r | R_s | R_b |
w_x | w_y | gamma-dot global |
date |
| 3 & 2 | 1.3 | 0.95 | 90
um | 118 um |
6.0 | 6.2 | 5.5 & 2.7 |
111012 |
| 7 & 1 | 1.3 | 0.67 | 85
um | 110 um |
3.8 | 3.8 | 2.4 & 1.3 |
111121 |
| uncertainty | 0.02 | 0.05 |
5% | 5% |
0.1 | 0.1 | 10% | -- |
original table with wrong dates:
| number of expts | rho |
n_r | R_s | R_b |
w_x | w_y | gamma-dot global |
date |
| 7 | 1.3 | 0.95 | 0.090 | 0.118 |
6.0 | 6.2 | 2.4 |
111121 |
| 1 | 1.3 | 0.95 | 0.090 | 0.118 |
6.0 | 6.2 | 1.3 |
111121 |
| 3 | 1.3 | 0.67 | 0.085 | 0.110 |
3.8 | 3.8 | 5.5 |
111012 |
| 2 | 1.3 | 0.67 | 0.085 | 0.110 |
3.8 | 3.8 | 2.7 |
111012 |
| uncertainty | 0.02 | 0.05 |
5% | 5% |
0.1 | 0.1 | 10% | -- |
Data files in the table below are text files, with data on
the droplets in the format [x,y,diameter,flag,area,voronoi
area,time,id]. x, y, and diameter are in
units of microns. Flag = 1 for the interior droplets for which I
believe area & voronoi area are well defined, 0 for droplets at
the edges, but note that this is a bit crude. area and
voronoi area are in units of microns^2, and correspond to
the area of the droplet and the area of the voronoi cell
containing the droplet. time is an integer, to convert to
seconds use the conversion factor listed in the table ('time
step'). ID is a unique integer for each distinct droplet,
so that you can tell which droplet is which at different times.
Data files range from 10-75 MB in size.
| date-file# | phi |
Fig. 3? |
time step (s) |
gamma-dot global |
duration |
total strain |
| 111012-1 | 0.890 |
| 0.518 s |
5.5 hr^-1 | 20:49 min:sec | 1.91 |
| 111012-3 | 0.902 |
| 0.702 s |
2.7 hr^-1 | 15:24 min:sec | 0.69 |
| 111012-4 | 0.928 |
yes | 0.543 s |
5.5 hr^-1 | 15:54 min:sec | 1.46 |
| 111012-5 | 0.933 |
| 0.927 s |
2.7 hr^-1 | 23:42 min:sec | 1.07 |
| 111012-7 | 0.955 |
| 0.650 s |
5.5 hr^-1 | 19:47 min:sec | 1.81 |
| 111121-1 | 0.893 |
triangles | 0.271 s |
2.4 hr^-1 | 22:35 min:sec | 0.90 |
| 111121-2 | 0.908 |
yes | 0.246 s |
2.4 hr^-1 | 11:55 min:sec | 0.48 |
| 111121-3 | 0.888 |
| 0.230 s |
2.4 hr^-1 | 15:20 min:sec | 0.61 |
| 111121-4 | 0.931 |
| 0.238 s |
2.4 hr^-1 | 13.53 min:sec | 0.56 |
| 111121-5 | 0.943 |
yes | 0.210 s |
2.4 hr^-1 | 9:06 min:sec | 0.36 |
| 111121-6 | 0.956 |
yes | 0.210 s |
2.4 hr^-1 | 8:45 min:sec | 0.35 |
| 111121-9 | 0.881 |
yes | 0.232 s |
1.3 hr^-1 | 30:36 min:sec | 0.66 |
| 111121-10 | 0.902 |
| 0.210 s |
2.4 hr^-1 | 16:42 min:sec | 0.67 |
| uncertainty: | 0.010 ? |
| 0.001 s |
10% | 1 s | 10% |
|
alldata.txt -- data for Figs. 3(inset) and
6(b).
Columns are (phi, phi-phi_c, gamma dot, delta sigma, std dev). Units of
gamma dot are inverse hours. Units of delta sigma are microN/m.
delta sigma is what is plotted in the inset to Fig. 3.
std dev is the data plotted in Fig. 6(b).
|
 |
Fig 3: Data for stress drops, used to make the probability
distribution functions shown in Fig. 3. Each
file is list of the stress drops, in units of microN/m. The
number associated with each file ("088") is the area fraction
(phi=0.88).
- deltasig088.txt (experiment 111121-9)
- deltasig091.txt (experiment 111121-2)
- deltasig093.txt (experiment 111012-4)
- deltasig094.txt (experiment 111121-5)
- deltasig096.txt (experiment 111121-6)
- taunorm089.txt -- individual
droplet shear stresses (black triangle symbols in main plot).
(experiment 111121-1)
- taunorm093.txt -- same, but for
phi=0.93 (experiment 111121-4). Data not in plot, we're putting on
this web page for those who might want to see it. It's quite
similar to the black triangles data.
- Data for inset are in the file "alldata.txt" provided above.
|
 |
Fig. 6a: Mean displacement field around a T1 event. Data
used in Fig. 6a.
Format: (x,y,dx,dy,dr,N). dx,dy are displacement vectors,
normalized as described in the text. dr = sqrt(dx^2 + dy^2). N
= proportional to the number of data points falling into that
(x,y) bin. The first two columns are in units of "mean
droplet diameter." The displacements have been normalized by the
mean displacements of the four droplets undergoing the T1 events.
|
