Other values
1) Crystal surface per cubic meter of the slurry:
The volume area is obtained by integrating from zero to infinity:
2) Crystal mass per cubic meter of slurry (slurry “density”):
The total mass of crystals per cubic meter of slurry is:
3) Dominant size of crystals (distribution mode):
The distribution density as mass is:
Applied to total mass, we obtain:
The dominant size maximizing w (L) is:
Hence: LD = 3Gt
Note that the crystal surface Ac can be expressed by:
4) Mean crystal size:
5) Mean crystal mass:
6) Median dimension:
The median is defined by:
hence:
7) Variation coefficient:
It is defined by:
For the CHC:
C.V = 50%
8) Volume of crystals per cubic meter of suspension:
NOTE.-
The value Mc is incorrectly known as the suspension “density”. In fact, the suspension density is:
pc and pL : density of crystals and liquor (kg.m-3)
Example.-
Here, we will provide values of the characteristic parameters of crystallization in order to familiarize the reader with the orders of magnitude.
1) Nucleation rate:
Magnitude X is the ratio of solute in the liquor:
with:
X* is the level of solute on saturation.
We find:
2) Growth rate:
with:
we find:
3) Population density for L = 0:
4) Crystal concentration:
with the previous values and т = 10, 800 s, we find: Mc = 466 kg.m-3
5) Volume area of crystals:
We find: Ac = 3,426 m2.m-3
6) Dominant size of crystals:
7) Slurry “density”: