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    INTERNATIONAL  JOURNAL OF  CHEMICAL

    REACTOR ENGINEERING

    Volume 3 2005   Article A14

    Hydrogenation of Acetylene: Kinetic

    Studies and Reactor Modeling

    Navid Mostoufi∗ Ali Ghoorchian†

    Rahmat Sotudeh-Gharebagh‡

    ∗University of Tehran, [email protected]†University of Tehran, [email protected]‡University of Tehran, [email protected]

    ISSN 1542-6580

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    Hydrogenation of Acetylene: Kinetic Studies andReactor Modeling

    Navid Mostoufi, Ali Ghoorchian, and Rahmat Sotudeh-Gharebagh

    Abstract

    The kinetics of acetylene hydrogenation has been studied in a fixed bed reac-

    tor of a commercial Pd/Al2O3 catalyst. The experiments were carried out at 30,

    50 and 70   oC with various feed compositions at atmospheric pressure. The exper-

    iments were repeated at 70   oC in the presence of the used catalyst to determine

    the effect of the catalyst deactivation where the corresponding deactivation rate

    constant was determined in order to predict the activity of the catalyst during each

    run. Two well known kinetic models were used for a nearly similar catalyst to pre-

    dict the experimental data of this work and none of them were found satisfactory.

    A new model was then proposed to fit the experimental data. The hydrogenation

    reactor was also simulated at industrial operating conditions with the proposed

    kinetics for both plug and dispersion flows. The results of these simulations were

    almost close to each other in most cases.

    KEYWORDS: Acetylene hydrogenation, kinetics, modeling, plug and dispersion

    flow, simulation, deactivation

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    1. INTRODUCTION

    Polyethylene has been a key product for many industries since 1960’s. The feed of the

     polymerization reactor, which comes from the olefin plant, is a mixture of hydrocarbons mainly

    consisting of ethylene. An undesired impurity in the ethylene stream is acetylene at approximately

    0.3 to 2% of the effluent of the olefin plant. This small amount of impurity may lead to

    undesirable polymer properties. The amount of acetylene in the feed of ethylene polymerization

    reactor should not exceed 2-3 ppm (Bos et al., 1993). There are two possible ways for eliminating

    acetylene from ethylene: hydrogenation of acetylene to ethylene and separation of acetylene fromthe main stream (Haehn et al., 1997, Brodzinski and Cybulski, 2000). The most common

    industrial method of eliminating acetylene is hydrogenation, as the separation method is both

    expensive and dangerous (Vincent and Gonzales, 2001). Thus, in order to reach the desired

    amount of acetylene for the polymerization step, it is selectively hydrogenated to ethylene in an

    adiabatic fixed bed catalytic reactor. The reaction should be selective because many other chain

    reactions can occur during hydrogenation if it is not controlled. Almost all these reactions are not

    desirable and have to be prevented.

    There are three major reactions considered in this system (Bos et al., 1993; Westerterp et al.,

    2002):

    42222   H C  H  H C    + (1)

    62242   H C  H  H C    + (2)

    62222 2   H C  H  H C    + (3)

    Reactions 1 and 2 are the main reactions occurring in such systems. However, there are also some

    side reactions which inevitably occur during acetylene hydrogenation. The most important side

    reaction is the reaction 3, i.e., the direct hydrogenation of acetylene to ethane. Acetylene can also

     be hydrogenated to heavier products, called green oils, by oligomerization. However, according to

    Leviness et al. (1984) and Sarkani et al. (1984) even direct hydrogenation of acetylene to ethane

    can be neglected.

    In the industrial plants, the hydrogenation process is controlled in a multi-bed adiabatic

    reactor. There are two methods to achieve this goal (Weiss, 1996):

    a) Hydrogen is separated from the feed before entering the hydrogenation reactor and then is

    added to the feed at a desired amount. This method, called tail-end hydrogenation, uses

    hydrogen concentration as a controlling parameter in the reactor in addition to the feedtemperature.

     b) The feed, which may contain up to 20% hydrogen, directly enters the hydrogenation

    reactor. This type of process is called front-end hydrogenation. In this type of systems, the

    only controlling parameter would be the feed inlet temperature.

    Many catalysts have been studied for hydrogenation of acetylene. Catalysts based on nickel

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    Vincent and Gonzalez, 2002). This catalyst is usually prepared either by ion exchange or by

     precipitation in order to produce a low dispersion, low metal content supported catalyst (Vincent

    and Gonzalez, 2001).

    In spite of many studies carried out by the researchers to describe the mechanism of

    hydrogenation of acetylene and its corresponding kinetic rate, almost no attention has been paid to

    the modeling of the industrial reactor of acetylene conversion. The aim of this work is, therefore,

    to assess the existing kinetics in the literature and then provide a complete description of the

    acetylene hydrogenation reactor based on a theoretical model.

    2. THEORY

    2.1. Kinetics

    The process of acetylene hydrogenation is consisted of adsorption of acetylene and hydrogen on

    the catalyst surface, chemical reaction between the adsorbed species, and desorption of the

     products from the surface (Vicent and Gonzalez, 2001). Bond (1962) proposed that since the

    enthalpy of adsorption of acetylene is higher than that of ethylene, the surface coverage ratio ofacetylene to ethylene would be always high. Therefore, in this case it was expected that if a

    mixture of acetylene and ethylene is used, hydrogenation of ethylene would not start until all the

    acetylene in the mixture is consumed. However, the experiments conducted by Bos et al. (1993)

    and Brodzinski and Cybulski (2000) indicated that this assumption is not realistic and

    hydrogenation of ethylene cannot be completely prevented in any case. On the other hand, Al-

    Ammar and Web (1978, 1979), Menshchikov et al. (1975) and Mc Gown et al. (1978) proposed

    that the catalyst surface contains at least two different types of active sites. Furthermore,

    Brodzinski and Cybulski (2000) proposed a model based on two active sites. They suggested that

    these sites are created on the palladium surface by carbonaceous deposits. Some of these sites canonly take part in acetylene hydrogenation and others may be open to all the species in the gas

     phase. Figure 1 show a simplified representation of active sites on the catalyst surface which is

     proposed by Brodzinski and Cybulski (2000). As seen in this figure, different types of species are

    adsorbed and react on different types of sites. According to Brodzinski and Cybulski (2000), a

    type of site may exist which is too small for the species other than acetylene and hydrogen to be

    adsorbed on. As compared to ethylene, acetylene is selectively hydrogenated on these sites by

    hydrogen atoms which are also adsorbed on these sites.

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    As mentioned above, researchers believe that different types of sites are formed on the surface of

    the catalyst pellet due to the presence of carbonaceous deposits in the process of acetylene

    hydrogenation. However, the exact source of these deposits is still in question. Based on the

    assumption that the origin of formation of C4 oligomers (which are the precursors to carbon

    deposits) is the acetylene adsorbed on the surface of catalyst, Al-Ammar and Webb (1978a,

    1978b, 1979) suggested that these deposits are the source of deactivation and may contribute to

    acetylene hydrogenation. Recently, Fasi et al. (2000) found that there are several types of surface

    carbon and not all of them necessarily participate in the reaction. Larsson et al. (1998) showed

    that it is the type of carbon not its amount that results in an increase in the selectivity to ethylene.

    Therefore, carbon deposits can accept hydrogen at low temperatures and then release thishydrogen at higher temperatures to participate in the hydrogenation procedure by a hydrogen

    transfer mechanism (Vincent and Gonzalez, 2001). Based on this information, at least two

     possible mechanisms may be suggested for this reaction system:

     Mechanism 1: This mechanism is based on the reaction of acetylene in the form of vinylidene

    with hydrogen molecules which are simultaneously adsorbed on the catalyst surface in a

    competitive way. This is a Langmuir-Hinnshelwood mechanism and is the most common one

    which has been proposed by almost all the researchers for such reaction system.

     Mechanism 2: This mechanism involves the hydrogen transfer from carbonaceous deposits at

    higher temperatures to the vinyl intermediate. This mechanism is called Al-Ammar mechanism.

    These two proposed mechanisms are shown schematically in Figure 2. In addition to these

    two main mechanisms, i.e., Langmuir-Hinshelwood and Al-Ammar mechanisms, other

    mechanisms have been also considered for this system of reactions (Westerterp et al., 2002). Of

    course, the temperature in industrial reactors of acetylene hydrogenation is les than 100 ºC in

    which the only source of hydrogen comes from the dissociative adsorption of hydrogen followed

     by direct hydrogenation over Pd sites. However, there is an alternative mechanism which starts tohappen at about 150 ºC which is much more selective towards ethylene formation than the low

    temperature mechanism. This mechanism involves hydride transfer from the growing

    carbonaceous layer. This alternative mechanism becomes dominant at temperatures in excess of

    175 ºC. Vincent and Gonzalez (2002) have addressed this point in considerable detail.

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    Different kinetic models have been proposed based on each of the above described

    mechanisms. Nevertheless, due to the complexity of the reactions in this system, none of the

     proposed kinetics can be considered as the best, yet. Among them, the kinetic expressions

     proposed by Boss et al. (1993), Brodzinski and Cybulski. (2000) and Menshchikov et al. (1975)

    seem to be more acceptable and have been used by other researchers (Westerterp et al., 2002;

    Vincent and Gonzalez, 2001). These kinetics expressions are given in Table 1.

    Table 1. Kinetic models studied in this work

    Kinetics Model Reference

    3

    65

    4

    32

    1

    )1(

    )1)(1(

    4222

    242

    62

    222

    222

    22

     H C  H C 

     H  H C 

     H C 

     H  H C 

     H  H C 

     H C 

     P k  P k 

     P  P k r 

     P k  P k 

     P  P k r 

    ++=

    ++= Bos et al. (1993)

    )1)(1(

    )1)(1(

    242

    242

    62

    242

    22222

    65

    4

    32

    1

     H  H C 

     H  H C 

     H C 

     H  H C 

     H  H C 

     H C 

     P k  P k 

     P  P k r 

     P k  P k 

     P  P k 

    ++=

    ++=Menshchikov et al. (1975)

    )1()1(

    )1)(1(

    242

    242

    62

    242

    222

    22

    6

    25.1

    5

    4

    32

    1

     H  H C 

     H  H C 

     H C 

     H  H C 

     H  H C 

     H C 

     P k  P k 

     P  P k r 

     P k  P k 

     P  P k r 

    ++=

    ++= This work

    2.2. Modeling

    The acetylene hydrogenation system considered in this work consists of only Reaction (1) and (2).

    All other side reactions are neglected. The industrial reactor of acetylene hydrogenation operatesat non-isothermal conditions. Therefore, in order to model such a reactor, the mass balance

    equations have to be coupled with the energy balance equation and to be solved simultaneously.

    Up to now most of the simulation studies in this field have been based on the plug flow

    assumption for the reactor. Moreover, the few researchers, who have considered the dispersion

    model, did not report temperature and concentration profiles in a large scale reactor or make a

    comparison between these two models (Godinez et al., 1995; Szukiewicz et al., 1998). The

    4  International Journal of Chemical Reactor Engineering Vol. 3 [2005], Article A14

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     Ac A r 

    udz 

    dC 

     

        )1(   = (4)

    iic P    r  H dz 

    dT C 

     A

     F  = 

       

    1(5)

    The second method of simulating this system is to take dispersion of the gas into

    consideration. In this case, the mass balance equation should be rewritten as follows:

    0)1(

    2

    2

    =

    +   Ac A A A r 

    udz 

    dC 

    dz 

    C d 

    u

     D

     

       (6)

    Thermal dispersion may be neglected in this case as the ratio of thermal dispersion coefficient to

    mass dispersion coefficient is very low and the energy balance equation would be the same as the

     previous case (Equation 5) in the modeling. Therefore, mass balance equations (Equation 6)

    should be solved for all species together with the energy balance equation (Equation 5),

    simultaneously. In order to solve the mass balance equation (Equation 6), two boundaryconditions are needed for each species. In this case, Dankwerts boundary conditions may be used

    (Fogler, 1999) as given bellow:

    at ),0(;00

    0t C 

     z 

    u

     DC  z   A

     z 

     Aa A

    +

    =

      

     

    ==+

    (7)

    at 0;   =

    =  z 

     L z   A

    (8)

    Equations (5), (6), (7) and (8) form a set of boundary-value differential equations and could be

    solved by the finite difference method (Constantinides and Mostoufi, 1999).

    3. EXPERIMENTAL

    3.1. Catalyst and Gases

    The catalyst was Pd/Al2O3 with commercial name of G58-B from Sud-Chemie which is currently

    used in many petrochemical complexes. Both new and used catalysts were employed in the

    experiments. The used catalyst was acquired from an industrial reactor being in service for six

    months before getting deactivated and taken out from the reactor.

    Th d i hi k 99 65% C H 99 99% C H d 99 99% H l

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    3.2. Apparatus and Procedure

    The experimental set-up for measuring the reaction rates of acetylene hydrogenation reactions is

    shown in Figure 3. The 3 mm ID U-shaped micro reactor filled with 0.3 grams of finely

     pulverized catalyst with a mesh of 180 to 300 µm. Such size of the catalyst ensures the absence of

    the effect of inter-particle heat and mass transfer resistances during the experiments in the

    operating conditions of this work. Flow rates of the inlet streams were measured by three

    rotameters. The reactor was placed in a warm water bath equipped with temperature controller

    and heater. Compositions of both inlet and outlet streams of the reactor were analyzed by a gaschromatograph (GC) equipped with a FID analyzer. At the beginning of each run, the feed was

    analyzed by the GC before entering the reactor. During the experiments, the product gas from the

    reactor was also conducted to the same GC for determining its composition after the reaction. The

    feed flow rate varied between 30 to 110 mL/min and its composition was changed from high about

    25% to less than 1% of acetylene content. The experiments were carried out at three different

    temperatures, i.e., 30, 50 and 70 °C.

    Figure 3. Simplified schematic diagram of the experimental set up of this study. 1-C 2H2 container

    2-C2H4 container 3- H2+N2 container 4-Pressure regulator 5-Rotameter 6-Reactor 7-

    Thermocouple and temperature indicator 8-Heater 9-Gas chromatograph.

    In addition to the new catalyst, the experiments were repeated with the deactivated catalyst to

    bt i d ti ti ffi i t f thi t l t Th i t f th ld t l t

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    4. RESULTS AND DISCUSSION

    4.1. Kinetics

    Using the data of these experiments, the reaction rates of acetylene consumption and ethane

    formation in each case were found to be as follows:

    m

     F  F r 

      out  H C in H C 

     H C 

    )()( 2222

    22

    = (9)

    m

     F  F r 

      in H C out  H C 

     H C 

    )()( 6262

    62

    = (10)

    The calculations and discussions done below are based on these reaction rates.

    Initially, the two well known kinetic models of Bos et al. (1993) and Menshchikov et al.

    (1975) were considered as the base models and fitted the experimental data of this work to thesemodels to obtain new kinetic parameters for the catalyst employed in this study. It is worth

    mentioning that in both models of Bos et al. (1993) and Menshchikov et al. (1975), the parameters

    have been provided for a different type of catalysts than that studied in this work and as the

    different types of catalysts may have different metal content and different porosities which

    certainly affect the kinetic studies. Therefore, new kinetic parameters have to be obtained to fit

    the new catalyst behavior. New reaction rate constants, evaluated from fitting the experimental

    data of this work to the above mentioned kinetic models, are given in Table 2. An Arrhenius type

    of temperature dependency is considered for the reaction rate constants as follows:

     

      

      =

     RT 

     E k k 

      ia

    ii

    ,

    0, exp   (11)

    The parity plot of the calculated reaction rates based on the kinetic model of Bos et al. (1993)

    against the experimental reaction rates of this work are shown in Figures 4a and 4b for acetylene

    consumption rate and ethane formation rate, respectively. The constants of the Bos et al. (1993)

    model used in this figure are those reported in Table 2. It can be seen in Figure 4a that the model

    of Bos et al. (1993) over-predicts the acetylene consumption rates obtained in this work.

    According to this figure, the higher the temperature, the higher is the deviation of the model fromthe reality. Figure 4b is the same comparison for ethane formation rate. It is evident in this figure

    that data scattering is less than what was observed for acetylene consumption rate (Figure 4a).

     Nevertheless, at lower temperatures the model of Bos et al. (1993) underestimates while at high

    temperatures the model overestimates the reaction rate and the difference between calculated and

    observed data is quit high.

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    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0.8

    0.9

    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9

    Experimental Reaction Rates (mmol/kg cat.s)

        C   a    l   c   u    l   a   t   e    d    R   e   a   c   t    i   o   n    R   a   t   e   s    (   m   m   o    l    /    k   g   c   a   t .   s    )

    30 C

    50 C

    70 C

    (a)

    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0.6

    0.7

    0 0.1 0.2 0.3 0.4 0.5 0.6 0.7

    Experimental ReactionRates (mmol/kgcat.s)

         C   a     l   c   u     l   a    t   e     d     R   e   a   c    t     i   o   n     R   a    t   e   s     (   m   m   o     l     /     k   g   c   a    t .   s     )

    30C

    50C

    70C

    (b)

    Figure 4. Parity plot of experimental reaction rates vs those calculated by the model of Bos et al.

    (1993) (a) acetylene consumption rate (b) ethane formation rate

    0.00

    0.05

    0.10

    0.15

    0.20

    0.25

    0.30

    0.35

    0.40

    0.45

    0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45

    Experimental Reaction Rates (mmol/kg cat.s)

        C   a    l   c   u    l   a   t   e    d    R   e   a   c   t    i   o   n    R   a   t   e   s    (   m   m   o    l    /    k   g   c   a   t .   s    )

    30 C

    50 C

    70 C

    (a)

    0.00

    0.05

    0.10

    0.15

    0.20

    0.25

    0.30

    0.35

    0.40

    0.45

    0.50

    0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50

    Experimental Reaction Rates (mmol/kg cat.s)

        C   a    l   c   u    l   a   t   e    d    R   e

       a   c   t    i   o   n    R   a   t   e   s    (   m   m   o    l    /    k   g   c   a   t .   s    )

    30 C

    50 C

    70 C

    (b)

    Figure 5. Parity plot of experimental reaction rates vs those calculated by the model of

    Menshchikov et al. (1975) (a) acetylene consumption rate (b) ethane formation rate

    (1975) for acetylene consumption rate is adequate, even though the experimental error has caused

    the data points to be scattered. This point could be more clearly understood if one compares

    Figure 5a with Figure 4a (corresponding to the same reaction rate with a different equation). In

    fact, in Figure 4a the data points are scattered as well as biased toward higher values. Thus, even

    if scattering of the data is contributed to the experimental error in Figure 4a, the kinetic model of

    Bos et al (1993) is inadequate to estimate the acetylene consumption rate properly Therefore it

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    0

    0.1

    0.2

    0.3

    0.4

    0.5

    0 0.1 0.2 0.3 0.4 0.5

    Experimental Reaction Rates (mmol/kg cat.s)

         C   a     l   c   u     l   a    t   e     d     R   e   a   c    t     i   o   n     R   a    t   e   s     (   m   m   o     l     /     k   g   c   a    t .   s     )

    30 C

    50 C

    70 C

    Figure 6. Parity plot of experimental ethane formation rates vs those calculated by the model of

    this work.

    4.2. Reactor Modeling

    The two flow models coupled with each of the three kinetic models described in the Theory

    section were solved for an industrial-scale reactor. The operating conditions considered for the

    simulation are listed in Table 3. It is worth mentioning that in the industrial acetylene

    hydrogenation units, two reactors in series are employed for complete conversion of acetylene in

    the feed (Weiss, 1996). The values given in Table 3 are typical for the first hydrogenation reactor.

    Results of this simulation are shown in Figures 7a-d in terms of profiles of temperature, acetylene

    conversion, ethylene formation, and ethane formation along the reactor, respectively. In these

    figures, the results of simulation of the reactor by the two flow models, i.e., plug flow and

    dispersion flow, which are coupled with the three kinetic models, i.e., Bos et al. (1993),

    Menshchikov et al. (1975) and the proposed model in this study are shown.

    Table 3. Modeling conditions

    Parameter Unit ValueC2H2 % 4

    C2H4 % 93

    C2H6 % 1

    H2 % 2

    Reactor length m 3

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    models are actually close to each other. The exit temperature of the reactor is about 360 to 365 Kaccording to all models which are close to the exit temperature of the product from the first

    hydrogenation reactor in the industrial acetylene converting units.

    290

    300

    310

    320

    330

    340

    350

    360

    370

    0 0.5 1 1.5 2 2.5 3

    Reactor Length (m)

       T   e   m   p   e   r   a   t  u   r   e   (   K   )

    Despersion

    Plug

    Bos et al.

    Bos et al.

    Menshchikov et al.

    This Work 

    This Work 

    (a)

    0

    10

    20

    30

    40

    50

    0 0.5 1 1.5 2 2.5 3

    Reactor Length (m)

       A   c   e   t  y   l   e   n   e   C   o   n  v   e   r   s   i   o   n   (

       %   )

    Plug

    Dispersion

    Bos et al.

    Bos et al.

    Menshchikov et al.

    Menshchikov et al.

    This Work 

    This Work 

    (b)

    0

    0.5

    1

    1.5

    2

    2.5

    3

    0 0.5 1 1.5 2 2.5 3

    Reactor Length (m)

        E    t    h   y    l   e   n   e    F   o   r   m   a    t    i   o   n    (    %    )

    Dispersion

    Plug

    Menshchikov et al.

    This Work 

    This Work 

    Bos et al.

    Bos et al.

    Menshchikov et al.

    (c)

    0

    5

    10

    15

    20

    25

    0 0.5 1 1.5 2 2.5 3

    Reactor Length(m)

        E    t    h   a   n   e    F   o   r   m   a    t    i   o   n    (    %    )

    Dispersion

    Plug

    Menshchikov et al.

    Bos et al.

    This Work 

    (d)

    Figure 7. Simulation results for different flow patterns combined with kinetic models investigated

    in this work (a) temperature profiles (b) acetylene conversion profiles (c) ethylene

    formation profiles (d) ethane formation profiles.

    The corresponding acetylene conversion profiles are shown in Figure 7b. This conversion is

    calculated from the following formula:

    FF

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    same acetylene hydrogenation rates (see Table 1). This figure illustrates that only about half ofthe acetylene is eliminated in the first hydrogenation reactor and the rest of this task remains to be

    accomplished in the second reactor. The reason for not completing the conversion of acetylene in

    a single reactor is controlling the temperature, as discussed in the introduction section and shown

    in Figure 7a.

    Ethylene formation can be calculated from:

    )(

    )(

    42

    4242

    42

    in H C 

    in H C  H C 

     H C  F 

     F  F 

     X 

    = (15)

    The profiles of ethylene formation along the reactor are shown in Figure 7c. It can be seen in this

    figure that the kinetic model of Menshchikov et al. (1975) predicts the highest ethylene formation

    among the three models and the model developed in this work predicts the lowest. The difference

     between the predictions of the three models observed in Figure 7c is due to the fact that in the

     process of ethylene formation, two reaction rates (i.e., acetylene conversion and ethane formation)

    are involved. Although all three kinetic models considered in this study provide almost the same

    acetylene conversion rates, they are dissimilar in the rate of ethane formation (see Table 1).Therefore, different profiles are obtained from each kinetic model for ethylene formation. This

    figure also reveals that regardless of the kinetic model used in the simulation, the plug model

     provides lower ethylene formations compared to the dispersion flow model. This is some thing

    that can be expected because in dispersion flow the back mixing phenomena helps the conversion

    of acetylene to be higher than that of plug flow. Consequently, the ethylene formation would be

    also higher in this case.

    Ethane formation is calculated from:

    )(

    )(

    62

    6262

    62

    in H C 

    in H C  H C 

     H C  F 

     F  F  X 

    = (16)

    Figure 7d shows the profiles of ethane formation along the reactor length for the models

    considered in this work. It is clear in this figure that each kinetic model predicts a different ethane

    formation rate as compared to another one. The discussions made for Figure 7c regarding the

    difference of the three kinetic models in terms of ethane formation rate are also valid here. In fact,

    the difference between these models, which is mainly originated from the difference in ethaneformation rate, shows up noticeably in this figure. Since the reaction rates proposed in this work

    fits the experimental data better than the other two models (see Figures 4b, 5b and 6), the results

    of simulation with the new model can be more trusted for the employed catalyst and operating

    conditions of this simulation.

    When the hydrogenation catalyst is used in an industrial reactor, it is gradually deactivated

    12  International Journal of Chemical Reactor Engineering Vol. 3 [2005], Article A14

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    the reactor exit for the catalyst of the activity equal to unity) is also illustrated in the same figure.It is obvious from this figure that in neither case, increasing the temperature can lead to an exit

    acetylene concentration equal to that with a new catalyst being employed. In fact, the effect of

    increasing the feed temperature on the performance of a reactor containing deactivated catalyst is

    to decrease the acetylene concentration at the beginning, although such a concentration would not

    reach the concentration equivalent to the fresh catalyst. Nevertheless, further increase in the feed

    temperature even overturns this trend and results in decreasing the acetylene conversion in the

    reactor. This is because of the reverse effect of temperature on the concentration of feed

    components and the reaction rate. The higher the temperature, the higher will be the reaction rate

     but at the same time the feed concentration would become lower as the temperature increases. It isfor this reason that increasing the feed temperature cannot be used as the only way of dealing with

    deactivation of the catalyst during each run. Therefore, in practice, two reactors are used in series

    in order to help the catalyst in the second reactor of the process to reach the desired concentration

    of acetylene in the final product, in addition to increasing the feed temperature of the first reactor.

    4.3. Catalyst Deactivation

    As mentioned in the Experimental section, both active and deactivated catalysts were employed in

    this study. The new catalyst was used to find the proper kinetic for the system and the deactivatedone was used to study the effect of using the catalyst for a long time and determine the

    deactivation coefficient for the catalyst. This deactivation coefficient can be used for analyzing

    the long term dynamic behavior of the acetylene hydrogenation unit and estimates the temperature

    evolution of the feed to the reactor during the catalyst useful life.

    0.02

    0.022

    0.024

    0.026

    0.028

    0.03

    0.032

    0.034

    0.036

    0.038

    0.04

    290 300 310 320 330 340 350 360 370 380 390

    Feed Temperature (K)

         E   x     i    t     A   c   e    t   y     l   e   n   e     (     k   m   o     l   e     /   s     )

    a = 0.7

    a = 0.5

    a = 0.3

    a = 0.1

    a = 1.0

    Fi 8 Eff t f t t lt i th ti it f d ti t d t l t

    13Mostoufi et al.: Hydrogenation of Acetylene: Kinetic Studies and Reactor Modeling

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    from which the deactivation coefficient could be evaluated by using the experimental data of this

    work. There is no explicit expression for the deactivation rate of this catalyst in the literature.

    Therefore, although the future works might suggest a nonlinear relationship between the catalyst

    deactivation rate and the fraction of active catalyst, a first-order deactivation rate is assumed in

    this case:

    ak 

    dt 

    dad = (18)

    or

    t k d et a  =)( (19)

    The deactivated catalyst used in this study had been used in the corresponding industrial

     process for six months for which the deactivation coefficient was found to be 0.25. Based on this

    value, the deactivation rate constant is estimated to be

    1)067.0(772.2   =   monthk d  (20)

    The figure in the parenthesis in Equation (20) is the standard deviation of the calculated

    deactivation constant.

    5. CONCLUSIONS

    Selective hydrogenation of acetylene was studied in a fixed bed reactor of a commercial Pd/Al2O3.

    Using the experimental data of this work and existing kinetic models from the literature, a new

    kinetic expression for hydrogenation of acetylene was developed. The acetylene hydrogenation

    reactor was simulated with different flow models (i.e., plug flow and dispersion flow models)

    coupled with three different kinetic models (i.e., Bos et al., 1993; Menshchikov et al., 1975) and

    the new model developed in this study). It has been shown that although the profiles along the

    reactor length could be different, in most cases the differences between plug and dispersion flow

    models are small in terms of reactor outlet quantities. The effect of deactivation of the catalyst

    was studied experimentally with a used catalyst and the deactivation rate constant of the catalyst

    was evaluated. It was demonstrated by simulation that it is necessary to employ twohydrogenation reactors in series due to the following reasons:

    (a) Practical temperature control of the reactor: Hydrogenation of the whole acetylene in the

    feed would result in an unacceptable increase in the temperature of the outlet of the reactor if a

    single reactor is to be employed.

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    NOTATIONa fraction of active catalyst 

     A cross section area (m2)

    C  A concentration of component A (kmole/m3)

    C  p specific heat (J/kmole.K)

     DA dispersion coefficient of component A (m2/s)

     E a activation energy (J/kmole)

     F  total molar flow rate of feed (kmole/s)

     F i molar flow rate of species i (kmole/s) H  j heat of reaction of reaction j (J/kmole)

    k  reaction rate constant

    k 0 frequency factor

    k d  deactivation rate constant (s-1)

     L reactor length (m)

    m mass of catalyst (kg)

     P   pressure (Pa)

     R gas consntant (J/kmole.K)

    r i reaction rate of species i (kmole/kg cat.s)r i,d   reaction rate of species i for a deactivated catalyst (kmole/kg cat.s)

    t  time (sec)

    T  temperature (K)

    u superficial velocity (m/s)

     X  conversion

     z  distance along the reactor (m)

    Greek Letters

     bed voidagec catalyst density (kg/m

    3)

    Subscripts

     A component A

    d  deactivation

    in  inlet

    out   outlet

    REFERENCESAl-Ammar, A.S., Webb, G., “Hydrogenation of acetylene over supported metal catalyst, Part I:Adsorption of [14C] acetylene and [14C] ethylene on silica supported rhodium, iridium and

     palladium and aluminum supported palladium”, J. Chem. Soc. Faraday Trans. I, Vol. 74, 195-205

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    Al-Ammar, A.S., Webb, G., “Hydrogenation of acetylene over supported metal catalyst, Part II:14

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    Table 2. Parameters of the kinetic models studied in this work 

    Parameter Unit Bos et al. (1993) Menshchikov et al. (1975) This work  *

    k 1,0 kmole. kgcat-1.s -1. bar -2 33.39 77.09 77.09 (0.000353)

    k 2,0  bar -1 5.1089 5052.8 5052.8 (0.484)k 3,0  bar 

    -1 3379.0 10.512 10.512 (0.434)

    k 4,0 kmole. kg cat-1.s -1. bar -2 10.17×10-3 12.03×10-5 4.02×10-5 (5.19×10-6)

    k 5,0  bar -1 44.635 11.509 9.4561 (0.0711)

    k 6,0  bar -1 0.0446 11.075 10.5045 (0.0648)

     E a,1 kJ/kmole 14638 -1220.46 -1220.46 (0.518)

     E a,2 kJ/kmole -107.67 -5558.8 -5558.8 (178.09)

     E a,3 kJ/kmole -3379.0 -3362.0 -3362.0 (141.7)

     E a,4 kJ/kmole 40354.0 28652.0 39774.0 (0.076)

     E a,5 kJ/kmole -33806.0 18425.0 -12494.0 (261.5)

     E a,6 kJ/kmole -29400.0 4923.0 3326.6 (208.09)

    * The figures in the parentheses are standard deviation of calculated parameters.

    18  International Journal of Chemical Reactor Engineering Vol. 3 [2005], Article A14

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