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Modeling and Simulation of a Water Gas Shift Reactor operating at a low
pressure
Article - July 2019
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Wail El Bazi
ENSA khouribga Maroc
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M.S. KADIRI
Ecole Nationale des Sciences Appliquées de Khouribga, Morocco
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BESR International Journal of Innovation Engineering and Science Research
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Modeling and Simulation of a Water Gas Shift
Reactor operating at a low pressure
Wail El Bazi¹*, Abderrahim El-Abidi²,³, Moulay Saddik Kadiri¹, Said Yadir²,3
¹ Laboratory of Process Engineering and Industrial Systems Optimization (LIPOSI)
ENSA Khouribga, Sultan Moulay Slimane University,
Béni Mellal, Morocco
*corresponding author: w.elbazi@usms.ma
² Laboratory of Materials, Processes, Environment and Quality (LMPEQ),
ENSA Safi, Cadi Ayyad University,
Marrakech, Morocco
3 Laboratory of Electronics, Instrumentation and Energy (LEIE),
Faculty of Science, Chouaib Doukkali University,
El Jadida, Morocco
Open Access
ABSTRACT
In order to study the WGS on an industrial scale at a low pressure, the modeling and simulation of a WGS reactor
operating at a pressure close to Patm and processing an industrial charge in the presence of a high temperature
shift catalyst (Fe2O3/Cr2O3) were performed. The Profiles of the carbon monoxide conversion, temperature and
pressure along the reactor were obtained. The effect of several operating parameters (inlet temperature, H₂O/CO
ratio) on the conversion of carbon monoxide along the reactor has been determined. The estimated catalytic mass
to convert 60.5% of the carbon monoxide contained in the inlet is 170.76 t. The pressure drops in the reactor are
not negligible and the maximum temperature reached is without any harmful effect on the catalyst. The choice of
an optimal inlet temperature and a high H₂O/CO ratio improves the conversion of carbon monoxide.
Keywords- Packed bed reactor, catalyst, water gas shift reaction
I.
INTRODUCTION
Hydrogen is an important source of energy and is involved in various industrial processes such as:
ammonia synthesis, methanol synthesis, etc. [1]. The production of this molecule can be carried out
through several ways: Production from methane [2], biological production [3], water electrolysis [4],
chemical production of aluminum and sodium hydroxide [5], or WGS (water gas shift reaction) which is
a chemical reaction converting a mixture of carbon monoxide (CO) and water vapor (H₂O) into a mixture
of carbon dioxide (CO₂) and hydrogen (H₂):
CO+H2O = CO2 + H2
AHR (298K)
This slightly exothermic reaction discovered by the Italian physicist Felice Fontana in 1780 [1] can occur
in the presence of catalysts based on several metals such as Cu, Fe, Ni, Pd, PT, Rh, Ru [6] or even
metal oxide [7]. At high temperatures (350-450°C) catalysts based on iron oxides and chromium oxide
III (Cr2O3) can be used [7]. At low temperatures (120-240°C) copper or copper oxide catalysts can be
used with promoters of alumina oxide (Al2O3) [7] and zinc oxide (ZnO) [8]. WGS can occur at pressures
ranging from 1 to 83.75 bars [ 7-10]. but often industrial reactors operate at high pressures [ 8,11-12].
Numerous models of the water gas shift reactors have been published to date. Elnashaie et al developed
a steady-state one-dimensional heterogeneous model to study the behavior of industrial reactors
operating at high temperatures [11]. Their work also focused on the effect of temperature on the
conversion of carbon monoxide. Adams et al used a dynamic two-dimensional heterogeneous model to
study the behavior of reactors operating at both high and low temperatures [13]. Adams was also
Volume 2 Issue 6 November - December 2018
== 41.2 KJ/mol
47 | Wail El Bazi et al. "International Journal of Innovation Engineering and Science Research"
interested in the effect of important parameters on Xco (H₂O/CO - temperature ratio). Falleiros Barbosa
Lima et al investigated an industrial reactor operating at high temperatures, using different one-
dimensional pseudo homogeneous models [14]. The effect of catalyst deactivation on reactor
performance was also investigated. A steady-state one-dimensional pseudo-homogeneous model was
also used by Shokry et al to predict the evolution of molar flow rate along and at the outlet of an industrial
WGS reactor operating at low temperatures [12]. These authors also studied the effect of pressure, inlet
temperature, H₂O/CO ratio on Xco. The major disadvantage of operating at high pressures is the
enormous energy costs that it would be interesting to reduce them by carrying out the WGS at low
pressures. In addition, the operating life of the catalyst can reach 15 years if the reactor operates at a
low pressure [15]. Indeed, several papers have been carried out to study this reaction and to determine
its kinetic expressions in the presence of catalysts allowing its activation at pressures close to the
atmospheric pressure [8,16-23]. It would therefore be interesting to use these expressions in the
simulation and study of the behaviour of reactors operating at pressures on the order of 1 atm. In fact,
the work of Maklavany et al has been interested in this topic. These authors used the kinetic expression
of WGS in the presence of a low temperature shift catalyst (CuO/ZnO/Al₂O3) to simulate a laboratory
reactor operating at 1.2 bar. Two models were used: a steady state 2D homogeneous isothermal model
[24] and a 1D homogeneous isothermal model with axial dispersion [25]. The effect of temperature on
the variation of several parameters along the reactor (CO concentration, pressure, reaction rate,
superficial velocity) was also studied. In our study, we also carried out the simulation of a reactor
operating at a low pressure. But in our case, it is in the presence of a high temperature shift catalyst
(Fe2O3 /Cr₂O3) and for a large reactor. This will allow the industrial-scale study of the reaction at a low
pressure and clarified the strengths and weaknesses of the realization of WGS under this condition. The
model we used to simulate the fixed catalytic bed is the steady state one-dimensional pseudo
homogeneous model that is widely used in the study of the behaviour of industrial catalytic convertors,
sites of the WGS [12,14,26] or other gas phase reactions [27,28,29]. In the first part of this study, we
used the kinetic rate expression corresponding to this catalyst in the modeling and simulation of an
industrial WGS reactor. This allowed the prediction of profiles of the carbon monoxide conversion,
temperature and pressure along the reactor. Then, the work was continued by studying the effects of the
operating parameters (inlet temperatures, H₂O/CO ratios) on the conversion of carbon monoxide in order
to define the optimal conditions of the reaction realization.
II.
DESCRIPTION
A. Description of the studied catalyst and the operating conditions for establishing the kinetic
rate expression
The kinetic rate expression corresponding to the chosen catalyst was carried out by Keiski et al [18]. The
characteristics of the catalyst, as well as the operating conditions under which the kinetic rate expression
was established, are presented in Table I [7,13,18].
TABLE I.
Catalyst
CCE C12
Ref:
[7,13,18]
CATALYST CHARACTERISTICS AND OPERATING CONDITIONS FOR THE ESTABLISHMENT OF THE WGS KINETICS [7,13,18]
Equivalent
spherical
diameter, dp
(μm)
Composition
Fe₂O3/Cr₂O3
(89/9%)
Operating conditions for the
establishment of WGS kinetics
T: [575-675 K], P : 1 atm
H₂O/CO (molar) : [2.4-12.1]
Gas mixture of different fractions of:
CO, CO2, H2O, Hz, Nz
2800
Volume 2 Issue 6 November December 2018
Shape
Cylinder
Catalyst
density, Pc
(kg/m³)
B. Description of the reactor and the operating conditions considered in the simulation
The characteristics of the simulated reactor are presented in Table II.
3730
48 | Wail El Bazi et al. "International Journal of Innovation Engineering and Science Research"
Packed bed
diameter D (m)
0.09
Packed bed length, L (m)
2.2
TABLE II.
REACTOR CHARACTERISTICS
Number of
packed beds
(tubes)
6000
The first simulations were run to predict the profiles of carbon monoxide conversion, temperature and
pressure along the reactor operating at a low pressure and for a feed flow of an industrial nature. We ran
these Simulations under the operating conditions presented in Table III.
TABLE III. OPERATING CONDITIONS USED FOR THE PREDICTION OF X(Z), T(Z) AND P(Z)
Molar flow rate of the feed gas mixture, F₁,0 Inlet pressure, Po Inlet temperature, To
(mol. s-¹)
(atm)
(K)
CO: 23.28
CO₂: 94.19
H₂ : 364.149
H₂O: 228.93
N₂: 134.354
Keq
III. EQUATIONS
Thermal property of
the packed bed
Adiabatic
The compositions and the inlet pressure of the gas mixture of table 3 are close to those studied when
establishing the kinetic rate expression of the WGS [18]. The temperatures remain within the temperature
range of the kinetic study [18]. At the same time, in order to evaluate the WGS at low pressures in a
situation close to an industrial case, each partial molar flow rate of WGS reagent (CO, CO2, H₂O, H₂)
presented in Table 3 is equal to 30% of the actual partial molar flow rate of the same reagent feeding the
high pressure WGS reactor of the Alexandria Fertilizers Company (AlexFert) [12]. The molar flow rate
of nitrogen shown in this table is equal to 30% of the real molar flow rate of the inerts feeding the
company's reactor.
A. kinetic expression
The kinetic expression used is a simple power-law model [7,18]:
-rco (mol.kg cata¯¹. h¯¹) = 2623447 exp
-79759
RT
В
= ex p
To study the effect of temperature on the carbon monoxide conversion along the reactor, other
simulations were performed for other inlet temperatures (575 K, 605 K, 620 K) while keeping the other
operating conditions (Table 3) and the same reactor characteristics (Table 2).
Finally, the study of the effect of the H₂O/CO ratio on the Xco profile along the reactor required further
simulations for [H₂O]/[CO] = 3 which corresponds to Fo(H₂O) = 69.84 mol.s-¹ and Fo(CO) = 23.28 mol.s
1 and for [H₂O]/[CO] = 5 which corresponds to Fo(H₂O) = 116.4 mol.s-¹ and Fo(CO)= 23.28 mol.s-1. These
last simulations were established by varying only the molar flow rate of the water vapor. While the other
operating conditions (Table III) and reactor characteristics (Table II) have not been changed.
1.12
Volume 2 Issue 6 November December 2018
Сco2 CH2 1
Ссо Снчо Ке
void fraction in the
packed bed
The equilibrium constant, Keq, is given by the equation 2 [7,18]:
4577.8
4.33)
T
Where -rco is the CO conversion rate, Ci is the molar concentration of species i (mol.dm-³) and ß is the
reversibility factor:
દ
0.4
590
0.74 C047C0218[1 − B]
(2)
(1)
49 | Wail El Bazi et al. "International Journal of Innovation Engineering and Science Research"
B. Process modeling and numerical solution
The following assumptions were made to develop the used mathematical model for the packed bed
reactor simulation:
Adiabatic reactor.
●
●
Steady state condition.
Axial dispersion is neglected, because the flow rate is sufficiently high to create a turbulent flow
G.dp
(Re: = > 40) and (L/dp>150) [30]. Where Re is the Reynolds number, G is the superficial
mass velocity (kg.m-². s-¹) and µ is the dynamic viscosity of the mixture (Pa.s).
μl
Radial dispersion is neglected, because the tube diameter is narrow, the reactor is adiabatic and
the WGS is a moderately exothermic. Under these conditions, radial gradients of concentrations
and temperatures are not important [30,31,32].
The system of differential equations used is as follows [14]:
dXco
-coFPresPBS
Fco,0
dz
The heat and mass transfer as well as the diffusion in the catalyst were lumped in the rate
constant.
●
●
dT
ΣFiCpi dz
For the reagent:
dp
dz
C₁ is expressed using the perfect gas equation:
Pi
RT
For the product:
For the inert:
C₁
= -f²
=
Where Pi is the partial pressure (Pa), expressed as follows: P₁
=
-fPgu ²³
dp
-
AHRTCO FPresPBS
With yi is the molar fraction of the species i
The expression of the molar flow rate, Fi (mol. s-1), of each component depends on its nature, be it a
reagent, a product or an inert:
F₁ = F₁,0 — Fco,o * Xco
F₁ = F₁,0 + Fco,o * Xco
F₁ = F₁,0
(3)
Volume 2 Issue 6 November December 2018
(4)
(5)
(6)
F₁. P = y₁.P
i=n
Σ=0 Fi
(7)
(8)
(9)
50 |