| C&T |
work from Coulaloglou and Tavlarides [8] |
| DSD |
drop size distribution |
| DDSD |
daughter drop size distribution |
| PBE |
population balance equation |
| RRMSD |
relative root-mean-square deviation |
| TEM |
transmission electron microscopy |
| w/o |
water-in-oil |
| 2D |
two-dimensional |
| Symbols Used |
| A |
|
area |
| a |
[-] |
constant in beta distribution |
|
|
birthrate in PBE |
| b |
[-] |
constant in beta distribution |
| C |
[-] |
measure of the width of the normal distribution |
| c |
[-] |
fitparameter in PBE submodels |
|
[-] |
dimensionless damping factor in coalescence efficiency |
|
|
fitparameter in the energybarrier modell |
| d |
|
drop diameter (d and d are used to differentiate between drops) |
|
|
Sauter mean diameter |
|
|
death rate in PBE |
| D |
|
tank diameter |
| E |
|
energy |
| F |
|
coalescence rate |
| f |
|
density function of number |
|
[-] |
ratio of daughter drop volume to mother drop volume |
| g |
|
breakage rate |
| h |
|
height |
| H |
|
height |
| n |
|
stirring speed |
|
[-] |
number of particles in the system |
|
[-] |
desorbed number of particles |
| P |
|
power |
|
q |
|
density function |
| Q |
[-] |
cumulative function |
| r |
|
radius |
| s |
|
strength |
| t |
|
time |
| T |
|
temperature |
| V |
|
volume |
| w |
[-] |
mass fraction |
| w |
|
wide |
| Greek Symbols |
|
[-] |
daughter drop size distribution |
|
|
dynamic viscosity |
|
|
mass specific energy dissipation rate |
|
[-] |
voidage |
|
[-] |
coalescence efficiency |
|
|
electrical conductivity |
|
[-] |
number of daughter drops |
|
[-] |
dispersed-phase volume fraction |
|
|
density |
|
|
interfacial tension |
|
|
shear rate |
|
|
standard deviation |
|
|
mean value |
|
|
contact angle |
|
[-] |
interface coverage degree by particles |
|
|
coalescence frequency |
|
|
zeta potential |
| Subscripts |
|
adsorption |
| b |
breakage |
| b |
baffle |
| c |
continous phase |
| c |
coalescence |
|
covered |
| d |
dispersed phase |
| d |
desorbed |
| d |
daughter |
|
desorption |
|
effective |
|
experimental |
|
between endoscope and stirrer |
| g |
gap |
|
initial |
| m |
mother |
|
maximum |
|
minimum |
|
nanoparticle |
| o |
organic phase |
|
oil/water interface |
| p |
particle |
|
stirrer blades |
|
simulated |
|
stirrer |
|
in steady-state |
|
total |
| 3 |
volume-based |