2. Liquid – Liquid Extraction
Equipment
• LLE involves intimate contact between two
immiscible or partially liquid phases as
compared to a gas or a vapor and a liquid
phase in gas absorption and distillation.
10. • Similar to the sieve tray columns in distillation.
• The column is comprised of several perforated trays
along with either downcomers or upcomers, depending
on which phase, heavy or light, is chosen to be
continuous.
• The original dispersion is performed by a nozzle, as in
spray columns.
• Cross flow contact occurs between each tray.
11. • Sieve tray columns are stagewise contactors due to
coalescence of the dispersed phase between trays and
its redistribution through the perforations in the tray.
• It is important that the internals be coated with the
continuous phase.
12.
13.
14. Design of Perforated Plate Extraction
Columns
• Procedure developed by Skelland and Chada.
• Procedure involves use of rate equations for mass
transfer during drop formation either at the perforations
or at the end of jets issuing from the perforations, during
free rise or fall of the drops, and during coalescence
beneath each plate, to locate a pseudo-equilibrium
curve.
• When flow rates of the disperse phase are low, drop
formation and detachment occur at the perforations on
each plate.
15. Design of Perforated Plate Extraction
Columns
• At higher flow rates, however, drops form at the tips of
jets emerging from the perforations.
• Figure shows the nth stage of a perforated plate
extraction column, where transfer is from the continuous
phase to the disperse phase.
16. Design of Perforated Plate Extraction
Columns
• Drop formation is taking place under jetting conditions
and the agitation resulting from motion of the droplets
ensures constancy of 𝑌𝐴𝑛
∗
for a given stage.
• The mass transfer rate in stage n can be written in terms
of the disperse phase as:
17. Design of Perforated Plate Extraction
Columns
• But
• If the variation in D over stage n is slight,
• Insertion in Eq. i results in:
18. Design of Perforated Plate Extraction
Columns
• c
• Next, the assumption is made either that solute transfer
is accompanied by equi-molal countertransfer of solvents
between phases or that only solute (A) is transferred.
Then,
19. Design of Perforated Plate Extraction
Columns
• If the inlet for D is at section 2 of the column, a material
balance on non-A gives
• A trial-and-error process will yield 𝑦 𝐴𝑛+1, corresponding
to a given pair of y 𝐴𝑛and 𝑌𝐴𝑛
∗
values in the following way,
if 𝐴𝑗, 𝐴 𝑓, 𝐴 𝑟, 𝐴 𝑐,𝐾 𝑑𝑗 , 𝐾 𝑑𝑓, 𝐾 𝑑𝑟 and 𝐾 𝑑𝑐are all predictable:
20. Design of Perforated Plate Extraction
Columns
1. A value of 𝑦 𝐴𝑛+1, is assumed, corresponding to a given
pair of y 𝐴𝑛 and 𝑌𝐴𝑛
∗
, values in Fig.
2. 𝐷 𝑛 and 𝐷 𝑛+1corresponding to y 𝐴𝑛 and the assumed
𝑦 𝐴𝑛+1 are calculated next from Eqs. Given on previous
slide.
3. Values of q are computed from Eqs. On slide 18.
21. Design of Perforated Plate Extraction
Columns
• The value assumed for 𝑦 𝐴𝑛+1, is correct when these two
estimates of q coincide.
• This enables construction of the pseudoequilibrium
curve, which is then used with the operating curve to
step off the number of real plates needed to accomplish
the desired change in D-phase composition from y 𝐴2 to
y 𝐴1
.