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Performance Evaluation of Pervaporation Technology for Process Intensification of Butyl Acrylate Synthesis. Dânia S. M. Constantino, Rui P. V. Faria, Ana Mafalda Ribeiro, José Miguel Loureiro, and Alirio Egidio Rodrigues Ind. Eng. Chem. Res., Just Accepted Manuscript • DOI: 10.1021/acs.iecr.7b01328 • Publication Date (Web): 27 Jun 2017 Downloaded from http://pubs.acs.org on June 28, 2017
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Industrial & Engineering Chemistry Research
1
Performance Evaluation of Pervaporation Technology for Process
2
Intensification of Butyl Acrylate Synthesis
3 4
Dânia S.M. Constantino, Rui P. V. Faria, Ana M. Ribeiro, José M. Loureiro and Alírio. E.
5
Rodrigues*
6
Laboratory of Separation and Reaction Engineering – Laboratory of Catalysis and Materials
7
(LSRE-LCM), Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, 4200-
8
465 Porto, Portugal
9
*Corresponding author. Tel.: +351225081671; fax: +351225081674.
10
E-mail address:
[email protected] (A.E. Rodrigues).
11 12
Keywords
13
Butyl acrylate, multicomponent pervaporation data, process intensification, fixed-bed
14
membrane reactor, continuous process simulation
15 16
Abstract
17
Pervaporation-based hybrid processes have been investigated to overcome the drawbacks of
18
equilibrium-limited reactions. Pervaporation processes are strongly recommended for heat-
19
sensitive products and azeotropic mixtures like is the butyl acrylate system case, since it can
20
operate at lower temperatures than distillation. In this work, experimental pervaporation data for
21
multicomponent mixtures in absence of reaction were measured for the compounds involved in
22
the esterification reaction of acrylic acid with n-butanol at different temperatures: 323 K, 353 K
23
and 363 K. A commercial tubular microporous silica membrane from Pervatech was used which
24
is highly selective to water and its performance was evaluated by studying several parameters
25
like the selectivity, permeate fluxes, driving force of species and separation factor. The effect of 1 ACS Paragon Plus Environment
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temperature and feed composition were assessed for binary, ternary and quaternary mixtures.
2
Increasing the temperature increases significantly the total permeate flux as well as the
3
separation factor, which is higher for quaternary mixtures. The presence of butyl acrylate and
4
acrylic acid reduces the total permeate flux since these molecules hinder the water permeation.
5
The permeance of each species was correlated with temperature according to Arrhenius
6
equation and a mathematical model was proposed to develop an integrated reaction-separation
7
process using the experimental data obtained. The reaction conversion of the fixed-bed
8
membrane reactor at steady-state achieved 98.7 % at isothermal conditions increasing by 66 %
9
the conversion obtained in a fixed-bed reactor (at the same operating conditions).
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10 11
1. Introduction
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Butyl acrylate (BAc) is usually obtained from the esterification between n-butanol and acrylic
13
acid (AAc) having water as side product. Several process intensification based technologies for
14
BAc synthesis have been reported, among which: reactive distillation (RD)1, 2, reactor-
15
separation-recycle (RSR)3, conventional simulated-moving-bed-reactor (SMBR)4 and an
16
enhanced SMBR (FBRplusSMBR)5. Different strategies to overcome the equilibrium
17
limitations and other drawbacks associated to the BAc synthesis process, as the presence of
18
azeotropes and polymerization at high temperatures, have been intensively investigated in the
19
last years.
20
In SMBR based processes4, 5, pervaporation units were proposed for treating the extract stream
21
(composed by n-butanol and water) by dehydration of n-butanol, which was recycled to the
22
process as reactant and/or eluent, depending of its purity. In those works, pervaporation data
23
reported from Sommer’s and Melin6 were used, for a commercial tubular amorphous silica
24
membrane distributed by ECN, Petten (The Netherlands) and by Sulzer Chemtech GmbH
25
Membrane Technology, Neunkirchen (Germany), as Pervap1 SMS. Indeed, membrane
26
pervaporation process is a very interesting technology for organic-water6-13 and organic-organic
27
separations14-16, being more advantageous than distillation which presents considerable 2 ACS Paragon Plus Environment
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thermodynamic limitations17. Moreover, membrane separation processes offer many other
2
advantages such as: high selectivity, low energy consumption, moderate cost to performance
3
ratio, compact and modular design18. The separation by pervaporation involves a transport
4
mechanism based on physical-chemical interactions between the membrane material and the
5
permeating molecules allowing to operate at lower temperatures than distillation which depends
6
of the relative volatility19. Therefore, pervaporation is strongly recommended for separation of
7
heat-sensitive products and azeotropic mixtures19 like is the BAc system.
8
Meanwhile, pervaporation-based hybrid processes have been investigated18, 20-25, mainly for
9
intensification of esterification reactions26, since it enables to reduce the concentrations and the
10
flow rates to be treated and, consequently, the energy requirement and associated costs25. That
11
way, the multicomponent study by pervaporation is really interesting, since this technology can
12
be integrated with chemical reaction helping to shift the reaction equilibrium conversion (which
13
is 63 % at 363 K on batch conditions and using an equimolar mixture of reactants in the BAc
14
system case27, for instance) towards the product (BAc) formation by continuous water
15
permeation. Accordingly, this kind of reaction with very slow kinetic (
16
1 kc,363K = 3.51×10−3 mol.g −A15 .min −1 ,using Amberlyst-15 as catalyst27, for instance) can be
17
favored by the continuous water removal from the reaction medium. Recently, Sert and Atalay
18
published a study28 about the synthesis of BAc combining pervaporation and reaction for the
19
first time. For that, the authors used a Pervap 2201 polymeric membrane in a batch reactor and
20
the effect of the membrane process on the shift of the chemical equilibrium was evaluated by
21
changing the temperature, the initial molar ratio of reactants, the ratio of membrane area to
22
volume of the reaction as well as the catalyst (Amberlyst 131) loading. They concluded that the
23
most important parameter was the temperature, since pervaporation and reaction rates increased
24
with the operating temperature. An increase in conversion of 40 % was observed in that process.
25
However, the effect of driving force was not studied and, according to the literature17, it is a key
26
element to evaluate the pervaporation performance for multicomponent mixtures. Besides that,
27
experimental pervaporation data for multicomponent mixtures in absence of reaction are 3 ACS Paragon Plus Environment
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required to understand the influence of the different compounds in the performance of the
2
membrane for the global process (reaction combined with pervaporation) and these data were
3
missing in the previously cited study28.
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In this work, a multicomponent pervaporation study for the compounds involved in the BAc
5
production in absence of reaction was performed, for the first time, at different temperatures,
6
323, 353 and 363 K and different parameters were evaluated, including the driving force. A
7
commercial tubular inorganic membrane was used for the experimental measurements since it
8
presents better stability under acidic and high temperature conditions than polymeric
9
membranes, being the best alternative for the dehydration of the reaction medium21. According
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to the literature29, commercial microporous silica membrane from Pervatech showed better
11
selectivity and water flux than the one from Pervap SMS from Sulzer Chemtech in dehydration
12
of aqueous mixtures, so a Pervatech BV membrane was considered. The activation energies
13
were also estimated by the dependence of permeance on temperature for each compound taking
14
into account the driving force. A mathematical model was developed considering the mass
15
transport under non-isothermal conditions and it was applied for the study of enhanced
16
esterification reaction of AAc with n-butanol by combining a fixed-bed reactor (FBR) with a
17
pervaporation membrane for the BAc synthesis. This configuration was already investigated for
18
other esterification reactions as the esterification of oleic oil with ethanol30, for which an
19
increase of 3 % of the limiting reactant conversion was observed for the pervaporation-assisted
20
reaction, and the esterification of lactic acid with ethanol21, for which the integration of a
21
pervaporation membrane increased more than twice the limiting reactant conversion of a
22
conventional FBR process, considering non-isothermal conditions.
23
Moreover, it is important to refer that all experimental pervaporation data of this work will be
24
useful to design and optimize different configurations of pervaporation-based hybrid processes
25
for BAc synthesis.
26 27
2. Experimental data 4 ACS Paragon Plus Environment
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2.1. Chemicals and materials
2
The chemicals used in the pervaporation experiments were n-butanol (≥ 99.9 wt.%) from Fisher
3
Scientific, acrylic acid (≥ 99 wt.%) and butyl acrylate (≥ 99.5 wt.%) from Acros Organics.
4
Acrylic acid and butyl acrylate were provided stabilized with inhibitor (about 200 ppm and 20
5
ppm of hydroquinone monomethyl ether, respectively). The additional inhibitor used in this
6
study was phenothiazine (Ptz) (99 wt.%), also from Acros Organics. Isopropanol (≥ 99.9 wt.%)
7
from Fisher Scientific was used as solvent in the chromatographic analysis.
8
A commercial Hybrid Silica AR membrane supplied by Pervatech BV (The Netherlands) was
9
used, which presents hydrophilic characteristics. It consists of a modified silica selective layer
10
coated onto gamma alumina and its separation layer is applied inside of an asymmetric ceramic
11
tube that has an outer diameter of 10 mm, an inner diameter of 7 mm, and a length of 50 cm.
12
This membrane has an effective area per tube of about 110 cm2. It is able to be in contact with
13
any solvent at any concentration, however it is sensitive to extremely acidic and alkaline media
14
being the limit pH range from 0.5 to 8.5.
15 16
2.2. Experimental setup and procedure
17
The experimental data were measured in a pervaporation membrane unit at pilot scale which is
18
represented in Figure 1. It can work either in batch or continuous mode at temperatures up to
19
100 ºC. It is equipped with temperature (TI) (type K thermocouple, accuracy of about ± 2.2 ºC)
20
and pressure sensors (PI), for the absolute and permeate pressures with accuracies of about ± 0.5
21
bar and ± 1 mbar, respectively. The temperature was controlled by a thermostatic bath (Lauda,
22
Germany) with thermal M bath fluid (able to operate from 40 to 170 ºC) that flows through the
23
feed vessel jackets; pressure was set to 1.5 bar by applying an overpressure of helium to the
24
system in order to prevent vaporization of feed mixture over the whole temperature range.
25
Firstly, the feed vessel was charged with approximately 1.5 L of solution and the heating was
26
switched on at the desired temperature. A positive displacement diaphragm pump (Hydra Cell 5 ACS Paragon Plus Environment
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G-03, Wanner International) was used to recirculate the feed solution over the entire system
2
including the membrane in order to keep it at the same temperature in absence of vacuum on
3
permeate side. When the temperature is constant, the pervaporation experiment was started by
4
applying vacuum to the permeate side with a vacuum pump (Boc Edwards, U.K.). Two parallel
5
glass cold trap partially submerged in liquid nitrogen allowed the vapor permeate condensation.
6
In the beginning, a cleaning procedure was performed by collecting the permeate sample during
7
the first minute for a glass cold trap which was then rejected. After that, the permeate sample
8
was collected in the other cold trap which was defrosted at the end of the experiment to be
9
weighted and analyzed by gas chromatography.
10
Along these measurements it is important to keep the feed composition nearly constant, so the
11
duration of each experiment was conditioned by the trade-off between ensuring a constant feed
12
and a reasonable amount of permeate. Samples were collected before and after each experiment
13
in order to verify the feed composition. The reproducibility was checked by collecting two or
14
three permeate samples under steady-state conditions at each temperature.
15 16
Figure 1. Setup of pervaporation membrane pilot scale unit.
17 18
2.3. Analytical method
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All samples collected were analyzed (at least two times) in a Shimadzu - GC 2010 Plus gas
2
chromatograph equipped with a flame ionization detector (FID). The compounds were separated
3
using a silica capillary column (CPWax57CB, 25 m x 0.53 mm ID, film thickness of 2.0 µm).
4
The temperature of the injector was set to 523 K while the temperature of the FID was set to be
5
573 K. The initial column temperature was 353 K for 5 min, the temperature was then increased
6
at 353 K.min-1 up to 473.15 K and kept constant for the following 7 min. Helium N50 was used
7
as the carrier gas and the linear velocity was set to 30 cm.s-1. The injection volume used was 1.0
8
µL with a split ratio of 30 for permeate samples and 90 for the retentate samples. Isopropyl
9
alcohol was used as internal standard and acetone as cleaning solvent. The global associated
10
uncertainty of the measured molar fractions was ≤ 0.05.
11
3. Mathematical Model
12
The experimental pervaporation data measured for the silica membrane selected in this work
13
were used for the validation of the mathematical model that was developed to predict the
14
behavior of the separation process, considering the following assumptions: (i) non-isothermal
15
operation due to the heat consumption for species vaporization; (ii) plug flow (retentate stream);
16
(iii) retentate velocity variations inside the membrane due to permeation of components; (iv)
17
concentration polarization due to the global membrane resistance (diffusive transport in the
18
boundary layer combined with the membrane resistance); and (v) continuous process once it is a
19
process subsequent to the FBR unit and both should be operating continuously.
20
Retentate mass balance to component i
21
∂Cret ,i ∂t
+
∂ ( vs Cret ,i ) ∂z
(1)
+ Am J i = 0
22
where 𝑧 is the axial coordinate in the membrane modules, Cret is the liquid phase concentration
23
in the retentate side, 𝑣! is the superficial velocity, 𝐴! is the membrane area per unit membrane
24
modules volume and 𝐽! is the permeate molar flux of specie i, through the membrane, defined
25
as: 7 ACS Paragon Plus Environment
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(
)
1
Ji = kov,i xi ai Pi 0 − yi Pperm
2
where 𝑘!",! is the global membrane mass transfer coefficient, that combines the resistance due
3
to the diffusive transport in the boundary layer with the membrane12 resistance:
4
1 kov ,i
=
1 Qmemb,i
+
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(2)
ai Pi 0Vmol ,i
(3)
kbl
5
2 For laminar flow and Graetz number, dint vs / ( Dm Lm ) , much greater that one, the mass transfer
6
coefficient for transport in the boundary layer,
0.33
Sc
0.33
⎛ dint ⎞ ⎜ ⎟ ⎝ Lm ⎠
kbl , is determined by the Lévêque correlation31 :
0.33
7
Sh = 1.62Re
8
where
9
Schmidt numbers, respectively,
, (Re < 2300)
Sh = kbl dint / Dm , Re = ρ dint vs / η and Sc = η / ( ρ Dm ) are the Sherwood, Reynolds and
Dm is the solute diffusivity in the boundary layer, 𝑑!"# is the Lm is the membrane length, ρ is the density and η
10
inside diameter of the tubular membrane,
11
is the viscosity.
12
The mole fraction of component i in the vapor phase (permeate side), yi , is defined as:
13
yi =
14
15
(4)
Ji
∑
n
(5)
J
i =1 i
The fluid velocity variation in the membrane feed side is calculated from the total mass balance: n n dV dvs = vs ∑Ci mol ,i − Am ∑J iVmol ,i dz dz i =1 i =1
16
where n is the total number of components and Vmol ,i it is the molar volume of the component i.
17
Retentate heat balance
(6)
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n
n ˆ C ∂T + v Cˆ C ∂T + A h (T − T ) = 0 C ∑ ∑ s p,i ret ,i ∂z m f p ,i ret ,i m ∂t i =1 i =1
2
where Cˆ p ,i is the liquid heat capacity of component i, T is the absolute temperature in the feed
3
side of the membrane, Tm is the membrane absolute temperature, and h f is the heat transfer
4
coefficient in the liquid boundary layer.
5
Membrane heat balance
6
dint 2
( (dint + δ ) / 2)
2 int
− (d / 4)
h f (T − Tm ) =
(7)
n
dint + δ 2
((dint + δ ) / 2 )
− (d
2 int
∑ΔH / 4)
v i
Ji
(8)
i =1
dint is the internal radius of the membrane, δ is the membrane thickness, and ΔH iv is
7
where
8
the heat of vaporization of species i. The heat transport coefficient was estimated by the Sieder-
9
Tate correlation, valid for laminar pipe flow32: 0.33
0.14
10
d ⎞ ⎛ Nu = 1.86 ⎜ RePr int ⎟ L ⎠ ⎝
11
where N u = h f dint / λ and Pr = η Cˆ p ,i / λ are the Nusselt and Prandtl numbers, respectively,
12
η and 𝜂! are the viscosity of the liquid in the feed and in the membrane wall, and 𝜆 is the
13
thermal conductivity.
14
Initial and boundary conditions:
15
t = 0:
18
T = TF
z = 0:
(9)
(10.1)
Cret ,i = C0,i
16
17
⎛η ⎞ ⎜ ⎟ ⎝ ηm ⎠
(10.2)
T = TF
(10.3)
Cret ,i = CF ,i
(10.4)
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1
where subscripts 0 and F refer to initial state and membrane feed conditions, respectively.
2
The molar fractions of all the components at the outlet of the membrane and in the permeate
3
stream were monitored:
4
xout ,i =
5
where
6
The FBR was simulated according to the mathematical model described in our previous work33.
7
Numerical solution
8
The numerical solution of this problem was obtained by using the commercial software
9
gPROMS (general PROcess Modeling System) version 4.2.0, using orthogonal collocation in
10
finite elements (OCFEM) with second order polynomials and one internal collocation point in
11
each element; to this end, the axial dimension of the membrane was discretized in 100 finite
12
elements. The DASOLV equation solver was used to solve the resulting system of ordinary
13
differential equations in time. For all simulations a tolerance of 10-5 was used.
Cout ,i
∑
(11)
n
C i =1 out ,i
Cout ,i = Cret ,i ( z =1) .
14 15
4. Results and discussion
16
4.1. Preliminary study
17
A preliminary study was performed to find the minimal feed flow rate required to operate in
18
absence of mass transfer resistance in the boundary layer due to concentration polarization
19
effects. This phenomena is related to the accumulation of the retained species near the
20
membrane surface and, consequently, their concentration will be higher in the boundary layer
21
(adjacent to the membrane surface) than in the bulk34. Generally, concentration polarization
22
results from the depletion of the most permeable component in the vicinity of the
23
feed/membrane interface and it is due to the slow diffusion of the solute from the bulk of the
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1
feed to the boundary layer35. The membrane flux and separation efficiency may be severely
2
impaired due to polarization36.
3
In this work, the effect of mass transfer in the boundary layer was investigated with a binary
4
mixture of n-butanol and 31 % of feed water mole fraction at constant temperature, 323.15 K,
5
by varying the feed flow rate. According to Figure 2, this effect is negligible for flow rates
6
higher than approximately 150 L/h, since the total permeate flux remains constant from this
7
value. So, all pervaporation experiments were carried out at 200 L/h in this work ensuring
8
absence of mass transfer resistance.
1.0 0.8
Jtot kg/(h.m2)
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Industrial & Engineering Chemistry Research
0.6 0.4 0.2
0.0 0
100
150
200
250
300
350
Feed Flowrate (L/h)
9 10 11
50
Figure 2. Total permeate flux as function of feed flow rate (Pperm = 35 mbar, T = 323.15 K, xwater = 0.309).
12 13
4.2. Pervaporation data
14
The performance of the membrane for the n-butanol/AAc/BAc/water system was evaluated by
15
measuring pervaporation data for different mixture compositions in absence of reaction at three
16
different temperatures: 323.15, 353.15 and 363.15 K. A pressure of 45 mbar was set in permeate
17
side for all runs. The esterification reaction between AAc and n-BuOH presents a very slow
18
kinetics, according to the literature27, which allows to measure pervaporation data for
19
quaternary mixtures in absence of reaction even at high temperatures, since no catalyst was 11 ACS Paragon Plus Environment
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Page 12 of 36
1
used. This fact was verified by collecting feed samples after each experiment and analyzing it
2
by gas chromatography. All experimental mixture compositions considered in this work are
3
presented in Table 1. The feed compositions reported are the average of the feed composition
4
values at the beginning and at the end of the time interval of the permeate sample collection.
5
However the molar fraction of each component did not change more than 1% .These mixtures
6
were prepared taking into account the miscibility ranges, which were studied by the UNIFAC-
7
DMD model using the database available in the software AspenTech - AspenONE (version 7.1)
8
and can be observed in the ternary diagram presented in Supporting Information (Figure S1).
9
The pair n-butanol/ water (B1 to B4) was initially studied since it represents the extract stream
10
of the SMBR4 and enhanced SMBR5 processes. The AAc/ water binary was not considered due
11
to the high risk of polymerization described in the literature33 apart from membrane safety
12
issues. According to the ternary diagram (Figure S1), there is a large area of immiscibility
13
between BAc and water, so this pair was also not studied. Three different ternary mixtures (T1
14
to T3) were selected taking into account the same feed water molar fraction studied in the binary
15
mixtures for membrane performance comparison besides the miscibility range. One quaternary
16
composition (Q1) was selected to have the same feed water molar composition of binary and
17
ternary mixtures for performance comparison (± 10 % of water). The other mixture (Q2)
18
represents the equilibrium composition of the esterification reaction between n-butanol and AAc
19
with a molar feed ratio (3:1), since n-butanol is the eluent in SMBR based processes being
20
always in excess in relation to the other components.
21
Table 1. Feed molar compositions of the different mixtures studied. Mixture/Component
x,Butanol
x,Water
x,BAc
x,AAc
B1
0.741
0.259
-
-
B2
0.800
0.200
-
-
B3
0.911
0.089
-
-
B4
0.940
0.060
-
-
T1
0.652
0.159
0.189
-
T2
0.795
0.109
0.096
12
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T3
0.526
0.061
0.413
-
Q1
0.708
0.095
0.097
0.100
Q2
0.587
0.175
0.176
0.062
1 2
4.2.1. Dehydration of n-butanol: Effect of temperature and feed water composition
3
Temperature is a very important parameter in pervaporation process as reported in the
4
literature19, 28, 37. According to the experimental results presented in Figure 3, it is possible to
5
observe that the total permeate flux increases with the feed water mole fraction and the
6
operating temperature. The use of alumina as intermediate layer increases the hydrophilicity of
7
the membrane, promoting adsorption and diffusion of water38 and leading to higher selectivity
8
for this species. The experimental selectivity values obtained for the studied membrane were
9
between 5 and 160 (𝑆 = 𝑄!"#$% /𝑄!!!"#$ ) which is within of the range reported in the
10
literature for microporous silica membranes7. Thus, the total permeate flux was mainly
11
composed by water, as shown in Figure 4 (yw ≥ 96 %), which substantially increased with the
12
feed water mole fraction due to the higher driving force in mixtures with large feed water
13
content. The effect of the feed water mole fraction and temperature in the water driving force is
14
presented in
15
Figure 5.
16
On the other hand, the separation of liquid mixtures by partial vaporization through a membrane
17
is the principle behind pervaporation processes26, so in this kind of process the mass transfer is
18
accompanied with heat transfer19. In this way, increasing the temperature also increases the
19
driving force for water since the heat required for a phase change from the liquid to the vapor
20
phase, is lower for this compound than for n-BuOH, presenting a higher vapor pressure for the
21
same temperature (see table 2), leading to higher permeate fluxes.
13 ACS Paragon Plus Environment
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8.0
n-BuOH/water (74/26)
7.0
n-BuOH/water (80/20)
Jtot (kg/(h.m2))
6.0
n-BuOH/water (91/9)
5.0
n-BuOH/water (94/6)
4.0 3.0 2.0 1.0
0.0 320
330
340
350
360
370
T (K)
Figure 3. Total permeate flux as a function of temperature for different n-BuOH/ water binary
1.00
0.05
0.99
0.04
0.98
0.03
0.97
0.02
0.96
0.01
Permeate BuOH mole fraction
mixtures.
Permeate water mole fraction
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
Page 14 of 36
0.95 0.00 0.00 0.05 0.10 0.15 0.20 0.25 0.30 1
Feed water mole fraction
2
Figure 4. Permeate composition as a function of feed water molar composition for n-
3
BuOH/water binary mixtures (circles: water, triangles: n-BuOH).
14 ACS Paragon Plus Environment
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50
Driving force (kPa)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
Industrial & Engineering Chemistry Research
40 30
water, 323 K water, 353 K water, 363 K
20 10 0 0.060
0.089 0.196 Feed water mole fraction
0.259
1 2 3
Figure 5. Influence of temperature and feed water mole fraction on the driving force of water. Table 2. Vapor pressure for water, n-BuOH, BAc and AAc at different temperatures39 Compound/ Temperature
323.15
353.15
363.15
Water
0.124
0.473
0.701
n-BuOH
0.047
0.224
0.349
BAc
0.029
0.110
0.163
AAc
0.024
0.105
0.162
4 5
4.2.2. Multicomponent pervaporation data for BAc system
6
Similarly, a multicomponent pervaporation study was performed for the compounds involved in
7
the BAc production in absence of reaction and different parameters were evaluated. Several
8
ternary and quaternary mixtures were considered according to Table 1. Regarding to the feed
9
water composition and temperature effects, both parameters increase the total permeate flux like
10
happened in the binary mixture as is shown in Figure 6 (ternary mixtures) and Figure 7
11
(quaternary mixtures). The same conclusions reported previously for the binary system are valid
12
for the multicomponent system. However, the total permeate flux decreases about 30 % when
13
the BAc is present in the feed solution (ternary mixture T2) in relation to the binary mixture
14
(B3) with the same feed water mole fraction. Regarding to AAc, its presence together with BAc
15
in the feed solution (Q1) leads to a loss of 56 % of the total permeate flux in relation to the 15 ACS Paragon Plus Environment
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Page 16 of 36
1
binary with the same feed water mole fraction (B3). In the same way, if we compare the
2
quaternary (Q2) and the binary (B3) mixtures, although the first has almost twice of the feed
3
water content of the second, both show identical total permeate flux. These comparisons are
4
performed in Figure 8. These facts suggests that, the presence of molecules like BAc and AAc
5
induces higher mass transfer resistances in the boundary layer of the membrane significantly
6
hindering the water flux. Nevertheless, their composition on the permeate stream is residual as it
7
is shown in Figures S2 and S3 (see Supporting Information), where are presented the permeate
8
stream compositions for ternary and quaternary mixtures, respectively. The membrane
9
selectivity towards the studied species follows the order: water > n-BuOH > AAc > BAc.
10
According to Table 2, n-BuOH presents the second highest flux trough the membrane.
11
Moreover, BAc has the highest radius of gyration which means that it has the biggest molecular
12
size, hindering its passage through the membrane. This way, AAc is slightly preferably
13
permeate than BAc. The radius of gyration and the dipole moment parameters are shown in
14
Table 3. Furthermore, the high boiling points of the BAc (418.15 K) and AAc (414.15 K) lead
15
to smaller driving force comparing with n-butanol (390.85 K) and water (373.15 K).
16
The influence of temperature and feed water mole fraction on permeate compositions are
17
summarized in Figure 9. Increasing the temperature the water mole composition in permeate
18
side increases whereas the n-butanol, BAc and AAc decreases. Regarding to the feed water
19
mole composition the same behavior is observed, however this parameter seems to have no
20
more influence in the permeate water mole fraction at 363.15 K, since at this temperature the
21
permeate composition is constant for the different molar feed water compositions.
16 ACS Paragon Plus Environment
Page 17 of 36
4.0
n-BuOH/BAc/Water (65/19/16)
3.5
n-BuOH/BAc/Water (79/10/11)
Jtot (kg/(h.m2))
3.0
n-BuOH/BAc/Water (53/41/6)
2.5 2.0 1.5
1.0 0.5 0.0 320
330
340
350
360
370
T (K)
1 2
Figure 6. Total permeate flux as a function of temperature for different ternary mixtures: n-
3
BuOH/ Water/BAc (black triangles: T1, grey triangles: T2, white triangles: T3).
2.5
n-BuOH/AAc/BAc/Water (58/6/18/18)
2.0
BuOH/AAc/BAc/Water (70/10/10/10)
Jtot (kg/(h.m2))
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
Industrial & Engineering Chemistry Research
1.5 1.0 0.5 0.0 320
4
330
340
350
360
370
T (K)
5
Figure 7. Total permeate flux as a function of temperature for different quaternary mixtures: n-
6
BuOH/ Water/BAc/AAc (black squares: Q1, white squares: Q2).
17 ACS Paragon Plus Environment
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3.0
n-BuOH/Water (91/9)
Jtot (kg/(h.m2))
2.5
n-BuOH/BAc/Water (79/10/11) n.BuOH/Aac/BAc/water (70/10/10/10)
2.0
n-BuOH/AAc/BAc/Water (58/6/18/18)
1.5 1.0
0.5 0.0 320
330
340
350
360
370
T (K)
1 2
Figure 8. Total permeate flux as a function of temperature for the same feed water molar
3
compositions (± 10 %): circles: binary mixture B3, triangles: ternary mixture T2, black squares:
4
quaternary mixture Q1, white squares: quaternary mixture Q2). Table 3. Radius of gyration and dipole moment for each compound40.
5
Component/ Parameter
Radius of gyration (Ắ)
Dipole moment (debyes)
Water
0.615
1.850
n-BuOH
3.251
2.569
BAc
4.765
1.931
AAc
2.978
0.462
6
Permeate water mole fraction
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
Page 18 of 36
1.000 0.995 363
0.990 353
0.985
323
0.980 10
7
18
Feed Water mole fraction
8
Figure 9. Water content on the permeate stream as a function of temperature and feed water
9
mole fraction for quaternary mixtures. 18 ACS Paragon Plus Environment
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Industrial & Engineering Chemistry Research
1
Membrane productivity is usually characterized by permeate flux, which relates the product
2
separation rate to the membrane area required to achieve the separation19. However, other
3
important factors should be evaluated, particularly for multicomponent mixtures. In this work,
4
the driving force and separation factor were also taken into account. The driving force can be
5
defined as the difference of partial pressures of the respective component at the feed and
6
permeate side (see section 4.2.3). Figure 10 provides information about the driving force for
7
water in the different studied mixtures. In order to have the same water permeate flux, the water
8
requires higher driving force in the quaternary mixtures, like it was expected, due to the
9
presence of the other compounds.
10
The process separation factor, which is described in the following section (see section 4.2.3), is
11
represented as function of temperature for binary, ternary and quaternary mixtures in Figure 11
12
which shows that the separation factor is higher for quaternary mixtures and increases with the
13
temperature. In order words, the membrane presents excellent selectivity for water mainly in
14
ternary and quaternary mixtures at high temperatures (above 353 K), probably due to the lower
15
vapor pressures of AAc and BAc, as mentioned previously (Table 2). Comparing the separation
16
factor determined in this work for a feed water mole fraction of approximately 10 %, at 353 K
17
and 45 mbar (αperv = 665), with the values reported in the literature for the same type of
18
membranes under similar conditions (αperv = 340, at 348 K and 16 mbar)10 it is possible to
19
conclude that the Pervatech membrane used in this work has a separation factor almost two
20
times higher. However, Boutikos et al.7 reported a very similar value to the one found in this
21
work (around 600).
22
It is important to mention that these experimental data can be very useful for future studies
23
about process intensification for BAc synthesis, helping to understand what is the most
24
sustainable way to produce it.
19 ACS Paragon Plus Environment
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6.0
Jw (kg/(h.m2))
5.0 4.0 3.0 2.0 1.0 0.0 0
1
5
10 15 20 25 30 35 Driving force for water (kPa)
40
45
2
Figure 10. Total permeate flux as a function of the driving force for binary (circles), ternary
3
(triangles) and quaternary mixtures (squares).
10000
Separation Factor
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
Page 20 of 36
8000 6000 4000 2000 0 320
4
330
340 350 Temperature (K)
360
370
5
Figure 11. Separation factor as a function of temperature for binary (circles), ternary (triangles)
6
and quaternary mixtures (squares).
7 8
4.2.3. Pervaporation transport and parameters estimation
9
The solution-diffusion model41 was applied to describe the mass transport through the
10
membrane which is given by the following equation (assuming that the mass transfer resistance
11
in the boundary layer can be neglected): 20 ACS Paragon Plus Environment
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(
)
1
Ji = Qmemb,i xi ,F ai pi0,F − yi , perm Pperm
2
where Qmemb ,i and 𝑥!,! are the permeance of the membrane in relation to component i and the
3
liquid molar fraction in feed, ai is the activity coefficient (determined using the UNIFAC
4
method), pi0, F , is the saturation pressure in feed (Table 2), yi , perm and Pperm are the vapor molar
5
fraction and the total pressure in permeate side. The last term xi , F ai pi0, F − yi , perm Pperm gives de
6
driving force of the component i.
7
The separation factor, α, is given by:
8
α perv =
9
Where the subscripts F and w corresponding to the feed and water, respectively.
(12)
(
)
yw, perm (1 − xw, F )
(13)
xw, F (1 − yw, perm )
10
In this work, the activation energy required to the phase change of the permeate species were
11
obtained by fitting the experimental results to the Arrhenius equation to describe the permeance
12
dependence on temperature:
13
⎛ −E ⎞ Qmemb,i = Qmemb ,0 exp ⎜ P ⎟ ⎝ RT ⎠
14
where Qmemb ,0 is the pre-exponential factor , T is the absolute temperature, R is the ideal gas
15
constant and EP is the activation energy of permeation which is a combination of the activation
16
energy of diffusion (ED) and the heat of adsorption of the permeate in the membrane (ΔH):
17
EP = ED + ΔH
18
Since temperature influences both membrane permeability and the driving force for mass
19
transport, the activation energy of permeation should be evaluated from the slope ln(Qmemb ,i ) vs
20
1/ T 19. This way, an average of all permeance values for each species and temperature were
21
calculated and the activation energies of permeation as well as the pre-exponential factors were
(14)
(15)
21 ACS Paragon Plus Environment
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1
determined from the corresponding linear regressions. The Arrhenius adjustments are shown in
2
the Figure 12 for all species. The values of the respective parameters are presented in Table 4.
3
The water presents the lowest activation energy followed by n-BuOH, BAc and the AAc is the
4
compound that requires more activation energy to be permeate through the membrane. The
5
negative value of the activation energy reveals that the permeation of all species investigated is
6
governed by the adsorption, according to the equation (15).
7
The effect of the introduction of additional species to form ternary and quaternary mixtures was
8
also evaluated by comparing the permeation results obtained for water and n-BuOH in binary
9
mixtures The respective activation energies and pre-exponential factors for each compound in
10
the different systems studied are presented in Tables S1 and S2 (in Supporting Information),
11
respectively. From that, it is possible to determine the respective permeance of the each
12
compound for different temperatures, which are displayed for 363.15 K, as an example, in Table
13
S3. According to the results (Table S3), the multicomponent system has more influence in the
14
butanol permeance than in the water permeance when compared with the binary system. The
15
water permeance decreases almost twice while the butanol permeance decreases about 30 times
16
in the quaternary system comparing with the binary one. Even though water permeance
17
decreases it is still species with higher permeation values in the multicomponent system.
0
ln (Qmemb) (mol/(s.m2.Pa)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
Page 22 of 36
-5 -10
-15 -20 -25 2.7
18 19
2.8
2.9 1000/T (K-1)
3.0
3.1
Figure 12. Linearized Arrhenius plot for permeance as a function of temperature. 22 ACS Paragon Plus Environment
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Industrial & Engineering Chemistry Research
1 2
Table 4. Overall activation energies and pre-exponential factors for each compound. Eperm, i (kJ/mol)
Q0, i (mol/(s.m2.Pa)
Water
-30.53
3.90E-11
n-BuOH
-26.62
5.66E-13
BAc
-20.85
1.72E-12
AAc
-9.37
5.17E-10
Component
3 4
4.3. Pervaporation membrane-assisted esterification reaction
5
In order to predict the behavior of the continuous reaction-separation process by combining a
6
fixed-bed reactor with a membrane, the experimental data obtained (permeance of each species
7
according to the respective driving force and temperature) were used according to the
8
mathematical model described in section 3 (at the steady-state). The fixed-bed results were
9
obtained from the model reported in our previous work33.
10
The performance of a fixed-bed membrane reactor (FBMR) consisting in a Pervatech tubular
11
membrane packed (inside) with Amberlyst-15 ion exchange resin (A15) was assessed. The
12
reaction kinetic and thermodynamic equilibrium constants considered are reported in the
13
literature27 as well as the adsorption parameters for A15 studied in our previous work33. In Table
14
5 are presented the reactor parameters used in the simulations. The optimal feed molar reactants
15
ratio (n-BuOH/AAc) was investigated for the FBMR towards a more efficient process.
16
According to the results presented in Table S4 (see Supporting Information), the optimal molar
17
ratio can be considered to be 1.3 since the reaction conversion was still very close to 99 % as for
18
the maximum ratio studied (3.0). Furthermore, using this ratio (1.3) the FBMR reaction
19
conversion enhancement in relation to the FBR is much higher (about twice) than the value
20
observed for the maximum studied ratio (3.0) as well as the concentration of BAc attained (4.96
21
mol.L-1) at steady-state and isothermal conditions (around of 80 % higher). In other words,
22
pervaporation has more impact in the global process using smaller ratios (n-BuOH/AAc) since
23
there is less competition with water in the permeation process through the membrane. This way, 23 ACS Paragon Plus Environment
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Page 24 of 36
1
the water permeance is more efficient leading to high reaction conversions and to higher
2
concentration of the target product (BAc) at the reactor outlet.
3
reactants molar ratio (n-BuOH/AAc) the reaction conversion decreases so, to select the optimal
4
reactants ratio a compromise between the reaction conversion attained and the pervaporation
5
efficiency must be established. Accordingly, the feed reactants molar ratio considered was 1.3
6
(nn-BuOH/nAAc) and the dimensions of the FBR used experimentally in our previous work were
7
kept. Initially, it was considered that the A15 was saturated with n-BuOH at 363 K and the n-
8
BuOH/AAc mixture was fed at 1 ml/min. The performance of a conventional FBR (without
9
membrane), considering isothermal conditions, is presented in Figure 13 (a). After that, a
10
FBMR was simulated at the same operating and design parameters and the respective
11
concentration profiles are given in Figure 13 (b). Like in the previous work33 where
12
experimental FBR data were well predicted with the mathematical model proposed using the
13
experimental adsorption33 and kinetic parameters27, experimental concentration profiles of the
14
FBMR at the steady-state should be reasonably well predicted using the mathematical model
15
presented with the same experimental adsorption and kinetic parameters but now including also
16
the experimental pervaporation data measured in this work. Comparing the concentration
17
profiles in the FBR and the FBMR at isothermal conditions, a considerable improvement is
18
observed in the performance of the FBMR since at steady-state AAc is almost fully converted
19
achieving a reaction conversion of 98.7 % while the FBR reached 59.4 % at the same
20
conditions. This result is a direct consequence of the continuous removal of water from the
21
reaction media by pervaporation (in the FMBR) which displaces the chemical reaction
22
equilibrium, extending the conversion beyond the values predicted by the thermodynamics.
23
According to simulation results, just one membrane (with effective area of 110 cm2) is required
24
to obtain this excellent performance producing BAc with a purity of 97.8 % (in solvent free
25
basis). Figure 13 (c) shows the concentration profiles of the FBMR at steady-state considering
26
non-isothermal operation as well as the temperature profile. The performance is impaired
27
clearly by the temperature drop of about 45 ºC along the membrane due to the heat required for
28
species vaporization. This leads to lower water permeation fluxes and mainly lower reaction
However, decreasing the
24 ACS Paragon Plus Environment
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Industrial & Engineering Chemistry Research
1
rates, decreasing the conversion about 28 % in relation to the FBR at the same operating
2
conditions. The same behavior was reported by Pereira et al.21 for the esterification reaction of
3
lactic acid with ethanol to produce ethyl lactate. Nevertheless, the good performance attained
4
under isothermal conditions can be ensured by using a heat source to the pervaporation
5
membrane in order to offset the temperature required for species vaporization, depending on the
6
selective layer coating is placed. According to the literature, a heated sweep gas source is the
7
most suitable way to provide heat to the retentate liquid stream when the selective layer coated
8
is inside the membrane tube, like it was assumed in this case. On the other hand, if the selective
9
layer is coated on the external (shell) side of the membrane tube, an appropriate heated solution
10
can be used as heat source by re-circulating it through jacketed modules being an efficient way
11
to do it since the heat can be efficiently transferred to the retentate stream21. This way, the
12
energy required to heat the membrane adsorptive reactor in order to keep the operation closer of
13
the isothermal conditions was determined according to the heat of vaporization of water and
14
taking into account the average molar flux of water (8.16E-04 mol/(dm2.min)) attained at
15
isothermal conditions (363 K) leading to a value of 33.2 J/(dm2.min). Despite this, the energy
16
saving potential of the FBMR comparing with the conventional process is evident since at the
17
end of the FBMR a reaction mixture with approximately 75.7 % of BAc and 22.6 % of n-BuOH
18
(using a ratio of 1.3) is obtained having the remain compounds residual compositions (1.0 % of
19
AAc and 0.7 % of water). This way, just one distillation column shall be required to purify BAc
20
instead of the three distillations columns required by the conventional process. Moreover, the
21
two reactors used in the conventional process can be reduced to one making use of the
22
adsorption and pervaporation technologies as suggested in this work.
23
Table 5. Reactor parameters used in simulation runs. Reactor Parameters Feed concentration (mol/L)
Cn-BuOH = 6.39 ; CAAc = 4.91
Feed temperature (K)
363.15
Feed flowrate (mL/min)
1.0
Permeate pressure (mbar)
45 25
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Bed porosity
0.415
Bed length (cm)
34.0
Internal diameter (cm)
1.95
12
n-BuOH AAc BAc Water
10
C (mol/L)
8 6 4 2
0 0.0
0.2
0.4
0.6
0.8
1.0
z
1 2
a)
12
n-BuOH AAc BAc Water
10
C (mol/L)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
Page 26 of 36
8 6 4
2 0 0.0
3 4
0.2
0.4
0.6
0.8
1.0
z b)
5
26 ACS Paragon Plus Environment
12
n-BuOH AAc BAc Water Temp
10
C (mol/L)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
Industrial & Engineering Chemistry Research
8
370 360 350
6
340
4
330
2
320
0
310 0.0
0.2
0.4
0.6
0.8
T (K)
Page 27 of 36
1.0
z
1 2
c)
3
Figure 13. Concentration profiles at steady-state of the: a) FBR at isothermal conditions; b)
4
FBMR at isothermal conditions; c) FBMR at non-isothermal conditions.
5 6
5. Conclusions
7
Pervaporation data for multicomponent mixtures were measured for the compounds involved in
8
butyl acrylate synthesis in absence of reaction for the first time. The performance of commercial
9
tubular silica membrane supplied by Pervatech BV (The Netherlands) was evaluated by
10
studying different parameters. Selectivity and separation factor were determined and presented
11
similar values to the literature.
12
Besides the selectivity towards water be induced by the alumina used as intermediate layer on
13
the membrane, the driving force of this species is enhanced by increasing the temperature, since
14
water presents the highest vapor pressure. These conditions lead to higher permeate water mole
15
fraction and, consequently, higher total flux since it is composed mainly by water. The feed
16
water mole fraction also increases the driving force of this compound leading to higher
17
permeate fluxes, however from 363.15 K it seems no to have more significant influence.
27 ACS Paragon Plus Environment
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1
The presence of the BAc and AAc harms severely the total permeate flux inducing to higher
2
mass transfer resistances in the boundary layer of the membrane hindering the water flux. The
3
compounds are preferably permeate by the following order: water > n-BuOH > AAc > BAc
4
mainly due to low vapor pressures of BAc and AAc.
5
The performance of a pervaporation-based hybrid process by combining a fixed-bed reactor
6
with a membrane was studied for the first time for the butyl acrylate synthesis. For that, a
7
mathematical model was developed taking into account the experimental data obtained in this
8
work and simulations were carried-out to predict the concentrations profiles of a FBMR at the
9
steady-state. Considering isothermal operation, the FBMR presented a limiting reactant
10
conversion 66 % higher comparing with a FBR at the same conditions due to the continuous
11
water permeate fluxes that allow to remove practically all water produced in the reaction.
Page 28 of 36
12 13
Supporting Information
14
The ternary diagram for n-BuOH/BAc/Water system as well as the permeate stream
15
composition as a function of temperature for the different studied systems (binaries, ternaries
16
and quaternaries) are presented in Supporting Information. Furthermore, the activation energy,
17
the pre-exponential factor and the permeance of each compound in the different systems are
18
summarized. Finally, the reaction conversion obtained in a FBR and FBMR using different
19
reactants molar ratios are shown in that section.
20 21
Acknowledgments
22
This work is a result of project “AIProcMat@N2020 - Advanced Industrial Processes and
23
Materials for a Sustainable Northern Region of Portugal 2020”, with the reference NORTE-01-
24
0145-FEDER-000006, supported by Norte Portugal Regional Operational Programme (NORTE
25
2020), under the Portugal 2020 Partnership Agreement, through the European Regional
26
Development Fund (ERDF) and of Project POCI-01-0145-FEDER-006984 – Associate
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Industrial & Engineering Chemistry Research
1
Laboratory LSRE-LCM funded by ERDF through COMPETE2020 - Programa Operacional
2
Competitividade e Internacionalização (POCI) – and by national funds through FCT - Fundação
3
para a Ciência e a Tecnologia.
4 5 6
Notation Abbreviations AAc
Acrylic Acid
-
A15
Amberlyst 15 ion exchange resin
-
BAc
Butyl Acrylate
-
FBR
Fixed-Bed Reactor
FBMR
Fixed-Bed Membrane Reactor
gPROMS
General Process Modeling System
-
n-BuOH
n-butanol
-
RD
Reactive Distillation
RSR
Reactor Separation Recycle
-
SMBR
Simulated Moving Bed Reactor
-
Symbols
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Am
membrane area per unit module volume
m2/m3
a
liquid phase activity
-
C Cˆ
liquid phase concentration
mol.L-1
liquid heat capacity
J.mol-1.K-1
internal diameter of membrane
m
solute diffusivity in the boundary layer
m2.s-1
activation energy of diffusion
J.mol-1
activation energy of permeation
J.mol-1
hf ΔH
heat transfer coefficient in the liquid boundary layer
W.K-1
heat of adsorption
J.mol-1
ΔH v
heat of vaporization
J.mol-1
J
total permeate flux
kg.m-2. h-1
kbl
mass transfer coefficient
m.s-1
kov ,i
global membrane mass transfer coefficient
kg.m-2. h-1. bar-1
Lm
membrane length
m
number of compounds
-
Nu
Nusselt number
-
P Pr Qmemb Re
Vapor pressure
bar
Prandtl number
-
permeance
kg.m-2. h-1. bar-1
Reynolds number
-
S
Selectivity of the membrane
Sc
Scherwood number
-
Sh
Schmidt number
-
t
time variable
s
T
temperature
K
νs VM x y z
superficial velocity
m.s-1
molar volume
m3.mol-1
liquid phase molar fraction
-
vapor phase molar fraction
-
axial coordinate in the membrane module
m
η
fluid viscosity in the feed
kg.m-1.s-1
ηm
fluid viscosity in the membrane wall
kg.m-1.s-1
ρ
density
kg.m-3
α
relative volatility
-
α perv
separation factor
-
δ
membrane thickness
m
p
dint Dm ED EP
n
0
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1 Greek Letters
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λ
thermal conductivity
(W.m-1.K-1)
Subcripts 0
relative to initial conditions
F
relative to feed
i
Component i (n-BuOH, water, AAc and BAc)
m
membrane
out
at the outlet
ret
retentate
perm
permeate
w
water
1 2
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List of Figure Captions
9
Figure 1. Setup of pervaporation membrane pilot scale unit.
10
Figure 2. Total permeate flux as a function of feed flow rate (Pperm = 35 mbar, T = 323.15 K,
11
xwater = 0.309).
12 13
Figure 3. Total permeate flux as a function of temperature for different n-BuOH/ water binary mixtures.
14
Figure 4. Permeate composition as a function of feed water molar composition for n-
15
BuOH/water binary mixtures (circles: water, triangles: n-BuOH).
16
Figure 5. Influence of temperature and feed water mole fraction on the driving force of water.
17
Figure 6. Total permeate flux as a function of temperature for different ternary mixtures: n-
18
BuOH/ Water/BAc (black triangles: T1, grey triangles: T2, white triangles: T3).
19
Figure 7. Total permeate flux as a function of temperature for different quaternary mixtures: n-
20
BuOH/ Water/BAc/AAc (black squares: Q1, white squares: Q2).
21
Figure 8. Total permeate flux as a function of temperature for the same feed water molar
22
compositions (± 10 %): circles: binary mixture B3, triangles: ternary mixture T2, black squares:
23
quaternary mixture Q1, white squares: quaternary mixture Q2).
24
Figure 9. Water content on the permeate stream as a function of temperature and feed water
25
mole fraction for quaternary mixtures.
26
Figure 10. Total permeate flux as a function of the driving force for binary (circles), ternary
27
(triangles) and quaternary mixtures (squares). 35 ACS Paragon Plus Environment
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Figure 11. Separation factor as a function of temperature for binary (circles), ternary (triangles)
2
and quaternary mixtures (squares).
3
Figure 12. Linearized Arrhenius plot for permeance as a function of temperature.
4
Figure 13. Concentration profiles at steady-state of the: a) FBR at isothermal conditions; b)
5
FBMR at isothermal conditions; c) FBMR at non-isothermal conditions.
6 7 8
For Table of Contents Only
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