Table 1. Experimental details for hydrolysis of ethyl lactate
run
F1(kg/h) F2(kg/h) D1(kg/h) B3(kg/h) R1(kg/h) R2(kg/h) TB1(°C) TT1(°C) TB2(°C) TT2(°C) TB3(°C) TT3(°C)
RN1
RN2
RN3
RN4
RN5
3.284
3.528
3.432
3.209
3.240
2.520
2.696
2.572
2.560
2.588
1.896
1.760
1.848
1.828
1.827
3.864
4.164
4.044
3.964
3.976
1.253
1.272
1.276
1.267
1.293
4.770
4.889
4.807
4.81
95.00
95.00
95.00
95.60
95.20
85.50
84.70
85.50
85.90
86.70
98.30
98.60
98.30
98.50
98.40
92.00
92.70
92.10
92.10
91.90
106.50
108.00
106.50
108.40
106.80
96.30
96.60
96.30
96.10
97.10
4.85
(India). To avoid heat losses to the surroundings, the column
was insulated with an asbestos sheet. Sensors (Pt-100) were
provided at the top and bottom of the column to measure
temperatures. Reflux was measured by means of a reflux-splitter
with timer arrangement and attached to SCADA (Supervisory
Control and Data Acquisition). Each column was provided with
feed pumps for feed to the column at a controlled rate and a
reboiler with an overflow outlet to maintain a constant level
and allow product withdrawal. Recycle streams were measured
by weighing on a balance and were fed to the column by a
metering pump. Condensers were equipped with a chiller
capable of achieving a condenser temperature of +6 °C.
2.4. Experiment in Three Hydrolysis Columns. Continu-
ous reactive hydrolysis of ethyl lactate was performed in pilot-
scale columns shown in Figure 1 to produce 3.86 kg/h of pure
lactic acid (65% w/w) as per the following reaction scheme.
3. Results and Discussion
Simulation of reactive distillation processes involves the
simultaneous solution of material and energy balances and
stoichiometric relationships.10 This corresponds to the solution
of a considerably large set of nonlinear equations combined
with the thermodynamic model for predicting the vapor-liquid
equilibrium (VLE). It is recognized that the chemical reaction
may be distributed over several stages. VLE data were correlated
using the UNIQUAC model to describe the chemical and phase
equilibria simultaneously.8,9 Material balance equations were
solved simultaneously using the Newton-Raphson method for
obtaining component mole fraction on each stage.10 The energy
balance equation was solved to obtain the vapor flow rate. The
temperature on each stage was computed by the Newton-
Raphson method.
The lactic acid esterification with ethanol without addition
of a catalyst is assumed to follow the Arrhenius rate law with
ko1 ) 5.298 × 108 mol g- 1 min - 1, EA,1 ) 64.44 kJ/mol.8
The expression for the reaction equilibrium constant was
obtained by Delgado et al.9
The assumptions made for modeling the reactive distillation
column are the following: the vapor and liquid phases are in
equilibrium on each tray; no reaction occurs in the vapor phase;
the liquid phase is always homogeneous; the heat of reaction
is considered negligible.
Ethyl Lactate + Water h Lactic acid + Ethanol (1)
The feed to the first stage of the hydrolysis column was ethyl
lactate and distillate from hydrolysis columns 2 and 3. The
distillate of the first column consisted of ethanol and water. The
overflow of reboiler 1 was fed to reboiler 2, and distillate was
returned to reboiler 1. Again,the overflow of reboiler 2 was fed
to reboiler 3, and distillate was recycled to reboiler 1.
At column temperature, 90% of the ethyl lactate undergoes
hydrolysis. As the equilibrium was disturbed by fractionating
the alcohol, the hydrolysis process progresses in an effort to
restore the alcohol to the equilibrium concentration. Ethanol
and water vapors rising in the column pass through the
condenser and are collected as distillate. The overflow of
reboiler 1 containing lactic acid, ethyl lactate, ethanol, and water
moves to the reboiler 2. In the second column approximately
another 10% of the ethyl lactate was hydrolysed, and the
remaining ethyl lactate along with lactic acid, water, and ethanol
was fed to column 3. The distillate of column 2 consisted of
ethanol, water, and ethyl lactate and was removed by partial
condenser. A water stream was also added in reboiler 3 to
complete the hydrolysis of the remaining ethyl lactate. Pure
lactic acid (65-70%) is drawn off from the reboiler and sent
to an evaporator for concentration to the desired strength. The
distillate which contains water, ethanol, and ethyl lactate was
recycled to reboiler 1.
Convergence of the column model depends on starting
guesses for the composition profile and flow rates in the column.
The use of the Newton-Raphson method requires a proper
starting guess for the composition profile.
The algorithm ends up when global material balance to the
column is verified. A nonplausible column is obtained when
the Newton-Raphson method exceeds a prespecified maximum
number of iterations failing to satisfy the global material balance.
3.1. Comparison of Experimental and Simulation Re-
sults. The experimental data obtained during the pilot plant trials
at steady state for five different runs are given in Table 1.
Typically it takes about 5-6 h to attain the steady state. The
operating parameters in Table 1 were obtained after conducting
a number of pilot-plant trials. The parameters which gave the
best performance are considered optimal and reported in Table
1. F1 is the flow rate of ethyl lactate into reboiler 1 while F2 is
the D.M. water flow rate into reboiler 3. D1 is distillate from
column 1 consisting of ethanol and water. The product
consisting of lactic acid and water is withdrawn from reboiler,
B3. The bottom and top temperatures of columns 1, 2, and 3
are denoted by TT1TT2TT3 and TB1TB2TB3, respectively. Distillate
from columns 2 and 3 are recycled stream (R1 and R2) to reboiler
1. Columns 1 and 2 are operated under conditions of reflux
Initially, ethyl lactate and distilled mixture were fed to
column. Data collection started once all the column attained
steady state. Samples from the top and bottom streams were
collected at regular intervals and analyzed for the product
composition. Both bottom and distillate flow rates were
measured, and the overall material balance was verified.
The objective to obtain the pure lactic acid at the bottom
with 100% conversion of ethyl lactate to lactic acid is achieved
in this three-column configuration.
(10) Suzuki, I.; Yagi, H.; Komatsu, H.; Hirata, M. J. J. Chem. Eng. Jpn.
1971, 4, 26.
574
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Vol. 13, No. 3, 2009 / Organic Process Research & Development