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: L_D = 3Gt

Note that the crystal surface A_c 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 M_c is incorrectly known as the suspension “density”. In fact, the suspension density is:

p_c and p_L : 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: M_c = 466 kg.m^-3

5) Volume area of crystals:

We find: A_c = 3,426 m².m^-3

6) Dominant size of crystals:

7) Slurry “density”: