Junjie Chen*,
Xuhui Gao,
Longfei Yan and
Deguang Xu
Department of Energy and Power Engineering, School of Mechanical and Power Engineering, Henan Polytechnic University, 2000 Century Avenue, Jiaozuo, Henan 454000, P. R. China. E-mail: comcjj@163.com; Tel: +8615138057627
First published on 16th July 2018
Methane steam reforming coupled with methane catalytic combustion in microchannel reactors for the production of hydrogen was investigated by means of computational fluid dynamics. Special emphasis is placed on developing general guidelines for the design of integrated micro-chemical systems for the rapid production of hydrogen. Important design issues, specifically heat and mass transfer, catalyst, dimension, and flow arrangement, were explored. The relative importance of different transport phenomena was quantitatively evaluated, and some strategies for intensifying the reforming process were proposed. The results highlighted the importance of process intensification in achieving the rapid production of hydrogen. High heat and mass transfer rates derived from miniaturization of the chemical system are insufficient for process intensification. Improvement of the reforming catalyst is also essential. The efficiency of heat exchange can be improved greatly if the reactor dimension is properly designed. Thermal management is required to improve the reliability of the integrated system. Co-current heat exchange improves the thermal uniformity in the system. The catalyst loading is a key factor determining reactor performance, and must be carefully designed. Finally, engineering maps were constructed to achieve the desired power output, and favorable operating conditions for the rapid production of hydrogen were identified.
Many efforts have been made recently to understand the catalytic partial oxidation of methane to produce synthesis gas at short contact times.7,8 In contrast, the rate of the steam reforming reaction of methane is relatively slow.5,6 Interestingly, microfabrication techniques offer new opportunities for the development of methane steam reforming at short contact times.9–12 The rapid, efficient conversion of methane to synthesis gas shows great promise for fuel cell applications.13,14 Similarly, the rapid, efficient conversion of small amounts of methane to a synthesis gas mixture would improve spark ignition engine and catalytic converter performance while lowering emissions.15,16 Therefore, further research efforts are needed in the intensification of the steam reforming process.
Valuable intermediates and products can be made under short contact-time conditions.17,18 Attempts to implement the commercial steam reforming technology in small dimensions have been made. In particular, the steam reforming of methane over highly active catalysts at short contact times is an efficient method for the production of hydrogen.9–12 Currently, a fast reforming process is a pressing and important topic of study in light of potential hydrogen utilization for fuel-cell-powered automobiles.16 Consequently, there is considerable interest in the “on-board” conversion of methane to hydrogen at short contact times. Millisecond methane steam reforming has been reported in the literature, including in microchannel or microstructured reactors,9–12,19–22 and on highly active catalysts such as rhodium.23 The reaction proceeded at millisecond contact times is feasible due to its fast kinetics and transport,10,11 and thus hydrogen production can be intensified by hundred to thousand times. Furthermore, the methane steam reforming process has been designed to operate at sub-millisecond contact times,11 even at less than 100 microseconds at the expense of low equilibrium conversion.9 Interestingly, recent literature has suggested that methane steam reforming over nickel at millisecond contact times is in principle feasible at increased catalyst loadings.24
The very high transport rates achievable in microchannel reactors allow for operating highly endothermic and exothermic processes isothermally, which is particularly important in achieving process intensification.9,19,21,25,26 Process intensification is a strategy aimed at transforming conventional chemical processes into more economical, productive and green processes, in the form of enhanced heat and mass transfer.21,22,26,27 This technology accelerates processes by enabling reactions to occur at rates up to 1000 times faster than those in conventional systems, which has the potential to reduce reaction times significantly.9–12,19,20,26,27 Furthermore, these processes can be operated under near isothermal conditions to prevent hot spots and thermal runaway.25 The net result is that microchannel process technology can significantly improve the efficiency of the production of hydrogen from methane steam reforming.25–28
Microchannel reactors have many advantages for chemical production and process development, especially the application in fuel-cell-powered automobiles, because they operate at much shorter residence times, require much simpler equipment, and can be further “scaled-out” or “numbered-up” to achieve any desired large-scale plant capacity.16 In this way, the capital and operating cost may be reduced, and a higher efficiency may be achieved.29,30 Recent studies have demonstrated that microchannel reactors exhibit high heat fluxes and high heat exchange efficiencies.31,32 These chemical processing advantages can be derived from increased heat and mass transfer in small dimensions, eventually leading to improved yield for a steam reforming process.
Much research has focused on the design strategy of millisecond reforming process. The concept of millisecond reforming process may appear to be simple, but the design strategy presents significant challenges that have not yet been fully addressed. To address this issue, great efforts have been made in recent years to illustrate how process intensification can be achieved through microchannel reactors.33–36 Reaction engineering analysis is necessary to develop new process-intensifying methods to meet the need of the rapid production of hydrogen from steam reforming. To successfully design microfabricated chemical systems and to further intensify the involved chemical process, a detailed understanding of the underlying mechanism of the transport phenomena is also necessary.
The development of design strategies for the rapid production of hydrogen in micro-devices needed for novel fuel-cell-based power sources is the motivation for this study. In order to address the challenges in realizing this vision, the primary focus of this study is on short contact time reaction systems, and specifically on methane steam reforming thermally coupled with catalytic combustion in a microchannel reactor. A microchannel reactor that enabled efficient heat exchange between exothermic and endothermic reactions in an intensified manner was modeled, as an example of short-contact-time reactor modeling. Numerical simulations with detailed transport and chemical kinetic models were conducted to understand the transport characteristics involved in the system. Some important design issues, such as heat and mass transfer, catalyst, dimension, and flow arrangement, were explored. The primary objective of this study is to develop the general guidelines for the design of integrated micro-chemical systems for the rapid production of hydrogen. Emphasis is placed on how to achieve the rapid production of hydrogen from methane steam reforming by means of process intensification.
There are many active metals used to promote the methane steam reforming process. In the present work, rhodium is considered due to its very high catalytic performance for the steam reforming of methane at very short contact times,53,54 but nickel is the most abundantly used metal. Furthermore, nickel-based catalysts can withstand very high temperature and exhibits good mechanical strength. Therefore, the issue that needs to be addressed is whether nickel can achieve the rapid production of hydrogen form methane steam reforming, as will be discussed in detail later.
In order to evaluate the effect of various operating conditions and design parameters, a reference point is established. The “base case” given in Table 1 is defined as a typical set of operating conditions and design parameters. The term “base case” refers to a context in which the conversion is almost complete on each side of the reactor, the formation of hot-spots or cold-spots is nearly impossible, and there is a good thermal balance between the endothermic and exothermic reactions. The molar steam-to-carbon ratio at the inlet is set as 3.0.55 If desired, the reactor width is set as 10.0 mm to obtain flow rates. A full-scale reactor design may include a much larger number of parallel plate channels, usually ranging from a few hundreds to many thousands or even more. Due to the inherent symmetry of the reactor, only half of each channel, the connecting plate, and the two catalyst washcoats are modeled to reduce the computational cost. The shaded region in Fig. 1 represents the computational domain of the reactor modeled in this paper.
Combustion side | Reforming side | Unit | |
---|---|---|---|
Geometry | |||
Channel length | 50.0 | mm | |
Channel height | 0.2 | mm | |
Solid wall | |||
Thermal conductivity | 80.0 (300 K) | W (m K)−1 | |
Thickness | 0.2 | mm | |
External heat loss coefficient | 20 | W (m2 K)−1 | |
Gas phase | |||
Inlet methane-air equivalence ratio | 0.8 | — | — |
Inlet molar steam-to-carbon ratio | — | 3.0 | — |
Inlet pressure | 0.1 | 0.1 | MPa |
Inlet temperature | 300 | 400 | K |
Inlet velocity | 6.0 | 2.0 | m s−1 |
Catalyst | |||
Porosity | 0.5 | 0.6 | — |
Tortuosity factor | 3 | 3 | — |
Catalyst/geometric surface area | 20 | 20 | — |
Mean pore diameter | 20 | 20 | nm |
Thickness | 0.08 | 0.08 | mm |
Density of catalyst surface sites | 2.72 × 10−9 (platinum) | 2.72 × 10−9 (rhodium) | mol cm−2 |
2.66 × 10−9 (nickel) |
On the other hand, high pressures are obviously desirable to methane reformers, and this will be the subject of future work. If the reactor is operated at high pressures, particular emphasis should be placed on the thermodynamic limit of the small scale reforming system. In addition, the thickness of the wall separating the reforming and combustion side should be several millimeters as required to maintain a high-pressure differential. Furthermore, the small scale reformer should also be designed to withstand several tens of atmospheres of pressure differential at high temperatures.
Continuity equation:
(1) |
Momentum equations:
(2) |
(3) |
Energy equation:
(4) |
Chemical species balance in the gas phase:
(5) |
The diffusion velocity vector of the k-th gaseous species can be expressed as follows:57
(6) |
The ideal gas equation of state is
(7) |
(8) |
The equation of surface species coverage can be written as
(9) |
(10) |
The energy balance for the separating wall can be written as
(11) |
Each of the gas–washcoat interfaces is defined by species and energy boundary conditions. The boundary condition for the gaseous species at each of the specified gas–washcoat interfaces is given by
(ρYkVk,y)interface + ηFcat/geoWk(ṡk)interface = 0, k = 1, …, Kg, | (12) |
(13) |
The diffusional limitations inside the catalyst washcoat is accounted for:59
(14) |
(15) |
In the above equation, ṡi,eff is the effective rate of appearance of the i-th species on the surface of the catalyst, δ is the thickness of the washcoat, and Ci,interface is the concentration of the i-th species at the gas–washcoat interface. The catalytic surface area per unit volume of the washcoat, γ, is defined as
(16) |
The effective diffusivity of the i-th species inside the catalyst washcoat, Di,eff, is computed by adjusting for catalyst porosity and tortuosity
(17) |
(18) |
At each of the specified gas–washcoat interfaces, heat generation by reactions must be included in the model, and thus the energy boundary condition can be written as
(19) |
q = ho(Tw,o − Tamb) + qrad,∞. | (20) |
qrad,∞ = εs–∞Fs–∞σ(Tw,o4 − Tamb4). | (21) |
For the combustion process, the gas-phase reaction mechanism used is the Leeds methane oxidation mechanism.64,65 The mechanism contains 105-step elementary reactions involving 25 species. All of the 25 species are included in the chemical kinetic model used. These species include all the reactants used, all the products formed, and the reaction intermediates formed, i.e., the temporary products and/or reactants in the reaction steps of the mechanism used. An order of species has been accurately defined in this mechanism, based on hydrocarbon molecules, H/C/O molecules, hydrocarbon radicals, H/C/O radicals, and buffer gases, with each class ordered in terms of increasing complexity.64,65 The surface reaction mechanism used here is that proposed by Deutschmann et al.66 The mechanism contains 24-step elementary reactions involving 11 surface species and 9 gaseous species. Further information about this mechanism can be found on the DETCHEM website.67
For the reforming process, gas-phase reactions have been found to contribute only at relatively high temperatures (in excess of 950 °C).68 Therefore, gas-phase reactions are negligible to reduce the computational complexity. The surface reactions involved in the methane steam reforming over rhodium are modeled using the mechanism proposed by Karakaya et al.69 The mechanism can be easily implemented into a chemistry solver (e.g., CHEMKIN70 and Surface-CHEMKIN71). The Karakaya's mechanism contains 48-step elementary reactions involving 12 surface species and 6 gaseous species. The surface reactions involved in the methane steam reforming over nickel are modeled using the mechanism proposed by Delgado et al.72 The Delgado's mechanism contains 52-step elementary reactions involving 14 surface species and 6 gaseous species. Further information about the Karakaya's and Delgado's mechanisms can be found on the DETCHEM website.67 On the other hand, the gas-phase reactions involved in the methane steam reforming over either rhodium or nickel are negligible, as discussed earlier.
Special attention should be paid to the catalyst loading used on each side of the reactor. The catalyst loading is expressed through the area factor, Fcat/geo, as defined in eqn (13). This parameter can be used to account for the influence of catalyst loading, because there exists a linear relationship between area factor and catalyst loading.58 The area factor is also used to describe the dependence of the overall reaction rate on catalyst loading.58 The area factor is set as 20 on each side of the reactor. In this context, complete conversion is possible on each side of the reactor under the conditions given Table 1, as will be discussed in detail later.
It is worth making a brief discussion about the issue related to the definition of the catalyst loading used in the model. It is too complicated to model the actual structure of a catalyst washcoat.58 It is therefore necessary to simplify the washcoat domain of the system for the implementation of the model developed in this paper based on commercial computational fluid dynamics software, such as ANSYS Fluent. Both the area factor and the density of catalyst surface sites should be defined in order to account for the effect of the catalyst loading used. With the surface area factor, ANSYS Fluent can compute the total surface area on which the reaction takes place in each cell by multiplying this value by the volume of the cell. In this context, the evolution of chemical species and temperature in the two catalyst washcoats could be reasonably and accurately modeled with the model developed in this paper.
Thermochemical information is obtained from the provided kinetics schemes. Transport properties are obtained from the Sandia CHEMKIN transport database.57 The gas-phase and surface reaction rates are handled with the CHEMKIN70 and Surface-CHEMKIN,71 respectively.
The physical domain of the system must be transformed into a computational domain through a mesh. An orthogonal staggered mesh is used, and the node spacing is kept relatively small within the washcoat and near the entrance to the reactor. A typical mesh, totaling approximately 40000 nodes, is used for the base case given in Table 1. In addition, a mesh consisting of 80000 nodes in total is used in the case of largest dimension. For the base case, typical fluid node spacing is 250 μm in the axial direction and 2.5 μm in the transverse direction; typical wall node spacing is 250 μm in the axial direction and 5.0 μm in the transverse direction; typical washcoat node spacing is 250 μm in the axial direction and 1.0 μm in the transverse direction. A mesh independence test is performed.
Fig. 2 shows the profiles of the hydroxyl radical concentration along the longitudinal axis of the combustor for some of the meshes used for the base case. Refer to Table 1 for the operating conditions used in the numerical simulations performed here. As the mesh density increases, a trend toward convergence can be found for the solution. The coarsest mesh, totaling 2500 nodes, cannot accurately describe the concentration of the hydroxyl radical appeared in the reaction region and its peak position. Therefore, the coarsest mesh fails to accurately describe the chemical reaction occurring in the combustion channel. In contrast, the solution obtained from a mesh consisting of tens of thousands of nodes used for the base case can be considered to be reasonably accurate. A larger mesh density, up to 160000 nodes in total, offers no significant advantage.
Fig. 2 Profiles of the hydroxyl radical concentration along the longitudinal axis of the combustor for some of the meshes used for the base case. The operating conditions used in the numerical simulations conducted here are given in Table 1. |
The solution is deemed converged as the residuals of the conservation equations are less than 10−6. Due to the inherent stiffness of the detailed reaction mechanisms used, the convergence of the solution is often difficult. A summary of the operating conditions and design parameters used in the computational fluid dynamics simulations performed in this study is given in Table 2.
Conditions and parameters | Combustion side | Reforming side | Unit |
---|---|---|---|
Reactor configuration | |||
Channel length | 50.0 | 50.0 | mm |
Channel height | 0.2–0.8 | 0.2–0.8 | mm |
Wall thickness | 0.2 mm | 0.2 | mm |
Wall thermal conductivity | 80.0 (300 K) | W (m K)−1 | |
External heat loss coefficient | 20 | W (m2 K)−1 | |
Flow arrangement | Co-current flow and counter-current flow | — | |
Catalyst washcoat | |||
Catalyst | Pt/Al2O3 | Rh/Al2O3 and Ni/Al2O3 | |
Ratio of catalyst loadings | 0.5–2.0 | 0.5–2.0 | — |
Washcoat thickness | 0.08 | 0.08 | mm |
Catalyst/geometric surface area | 20 | 20 | — |
Washcoat mean pore diameter | 20 | 20 | nm |
Density of catalyst surface sites | 2.72 × 10−9 (platinum) | 2.72 × 10−9 (rhodium) | mol cm−2 |
2.66 × 10−9 (nickel) | |||
Washcoat porosity | 0.5 | 0.6 | — |
Washcoat tortuosity factor | 3 | 3 | — |
Operating conditions | |||
Reaction temperature (time-scale analysis) | 900, 1200, 1500 | 900, 1200, 1500 | K |
Inlet composition | 0.8 (equivalence ratio) | 3.0 (molar steam-to-carbon ratio) | — |
Inlet temperature | 300 | 400 | K |
Inlet pressure | 0.1 | 0.1 | MPa |
Inlet velocity | 0.3–6.0 | 0.2–6.0 | m s−1 |
Wall temperature threshold | 1500 | 1500 | K |
Kinetic mechanisms | |||
Gas-phase combustion | Hughes et al.64 and Turányi et al.65 | — | — |
Catalytic combustion | Deutschmann et al.66 | — | — |
Steam reforming | — | Karakaya et al.69 (rhodium) | — |
Steam reforming | — | Delgado et al.72 (nickel) | — |
Fig. 3 shows the intrinsic reaction and transport time scales in the reforming channel and in the combustion channel. Note that a base-10 log scale is used for the vertical axis. The intrinsic reaction time scale refers to the time required for the concentration of the fuel to reduce to half its initial value
(22) |
(23) |
Fig. 3 Intrinsic reaction and transport time scales (Panel (a)) in the reforming channel and (Panel (b)) in the combustion channel. Note that a base-10 log scale is used for the vertical axis. |
Similarly, the time-scale of the heat transfer in the transverse direction can be expressed as
(24) |
The mass and heat transfer in the axial direction is determined by the mean residence time
(25) |
Fig. 3(a) shows the intrinsic reaction and transport time scales in the reforming channel. When the temperature increases, the intrinsic reforming reaction time scale decreases from about 800 to 0.2 milliseconds in the case of rhodium, and from about 700 to 3 milliseconds in the case of nickel. The difference in intrinsic reforming reaction time scale between the two catalysts is minor at low temperatures, but significant at higher temperatures. Numerical simulations are carried out under the various feed-composition conditions, the results indicate that the ratio of the intrinsic reforming reaction time scale in the case of rhodium to that in the case of nickel can be up to 20 within the temperature range examined here. At a temperature of 1200 K and 50% conversion, representative operating conditions, the rate of the reforming reaction in the case of rhodium is about one order of magnitude faster than in the case of nickel.
On the other hand, the transfer time scale in the reforming channel is on the order of tens of microseconds in the transverse direction, and on the order of a few milliseconds in the axial direction, as shown in Fig. 3(a). The intrinsic reforming reaction time scale is about one order of magnitude shorter than the residence time at temperature 1500 K in the case of rhodium, but become longer than or comparable to the residence time at temperatures 900 and 1200 K in the case of both rhodium and nickel. For the latter, possible or even considerable incomplete conversion occurs. Overall, the intensification of the reforming process is achieved in terms of transport, but the process can benefit from the improvement of the reforming catalyst.
Fig. 3(b) shows the intrinsic reaction and transport time scales in the combustion channel. As the temperature increases, the intrinsic combustion time scale decreases from about 0.005 to 0.5 milliseconds. As expected, the intrinsic combustion time scale is much shorter than the intrinsic reforming time scale, especially at low temperatures. The difference in time scale between intrinsic combustion and transverse transport is not significant at temperature 1200 K, but is up to one order of magnitude at temperatures 900 and 1500 K, as shown in Fig. 3(b). Therefore, the intensification of the combustion process is necessary in terms of transport. The improvement of the combustion catalyst is needed at low temperatures, as shown in Fig. 3(b). The residence time is much longer than all the other time scales, and thus complete conversion is always possible on the combustion side.
The rapid production of hydrogen from methane steam reforming in a microchannel reactor poses a technical challenge to the development of novel engineered catalysts.9 Novel engineered steam reforming catalysts play a strong role in increasing the productivity per unit volume. The enhanced heat and mass transfer of novel engineered catalysts may lead to improved efficiency and performance of methane steam reforming.73 To fully take the heat and mass transfer advantages of microchannel reaction technology so that rapider production of hydrogen and a greater volumetric productivity can be achieved, it is necessary to develop highly active and stable methane steam reforming catalysts. Commercial methane steam reforming catalysts are currently based on nickel supported on refractory materials doped with a variety of promoters.74 Nickel is preferable to the expensive rhodium from the perspective of cost. Significant improvements have been realized in increasing the performance of the catalysts used for methane steam reforming.74
Methane steam reforming over nickel at millisecond contact times is in principle feasible, provided that the catalyst used is properly designed with the aid of a tailored microchannel reactor design.24 Further reductions in contact time may be reasonably achieved by increasing the catalyst thickness in a manner that minimizes heat and mass transport limitations through careful design. The development of lower-cost, high-activity nickel-based catalysts is highly desirable, yet challenging.74 Methane steam reforming catalysts containing more than one active species are being investigated, and the performance of some of these novel catalyst formulations has been evaluated by Turchetti et al.75 In addition, kinetics of methane steam reforming over different catalyst-support combinations have also been studied, providing a tool for the design of steam methane reformers.75 Recently, the effect of the promoter in nickel-based catalysts has been investigated for steam methane reforming, and it has been found that the promoter plays an important role in determining the performance of these catalysts.75,76 The sintering of supports and catalysts is generally unavoidable and is a very complicated process which is accelerated at higher temperatures. On the other hand, membrane reactors show great promise for the rapid production of hydrogen from methane steam reforming.75,76 Methane steam reforming over nickel may be allowed to be carried out at millisecond contact times through intensifying the process by adopting suitable strategies, such as a high-performance catalyst and a tailored membrane reactor design.
Fig. 5 shows the contour plots of the temperature and methane and hydrogen mole fractions in the reforming channel for the base case. While transverse temperature differences are negligible in the solid phase, there are steep species and temperature gradients in the gas phase near the reaction region, as shown in Fig. 5. In this context, a two-dimensional model is necessary to understand the transport characteristics involved in the system, because diffusion of both energy and species is not negligible in the axial direction. Overall, a good thermal balance is achieved between the two fluids under the conditions examined for the base case.
Fig. 5 Contour plots of the temperature and methane and hydrogen mole fractions in the reforming channel for the base case. |
(26) |
Fig. 6 shows the wall temperature profiles along the longitudinal axis of the reactor and the outlet conversions on both sides of the reactor under different catalyst-loading conditions. Fig. 6(a) and (b) show the results obtained on the combustion side. The rate of the combustion reaction decreases with decreasing the loading of the combustion catalyst. Therefore, a smaller amount of combustion catalyst results in lower wall temperatures (Fig. 6(a)) and a lower outlet conversion on each side of the reactor (Fig. 6(b)). The smallest amount of combustion catalyst (i.e., Kcombustion = 0.5) causes a cold spot to be formed within the wall at the axial position about 8 mm (the blue line in Fig. 6(a)). In contrast, the largest amount of combustion catalyst (i.e., Kcombustion = 2.0) causes a hot spot to be formed within the wall at the axial position about 12.6 mm (the red line in Fig. 6(a)). This is a situation that needs immediate attention, since hot spots may lead to rapid deactivation of the catalysts used on each side of the reactor due to high temperatures.
Fig. 6 Wall temperature profiles and conversions (Panels (a) and (b)) on the combustion side and (Panels (c) and (d)) on the reforming side. |
Fig. 6(c) and (d) show the results obtained on the reforming side. A larger amount of reforming catalyst does not improve the performance of the reactor. The wall temperature decreases with increasing the loading of the reforming catalyst (Fig. 6(c)). In certain cases (e.g., Kreforming = 2.0), a cold spot is formed due to the cooling effect caused by a large amount of reforming catalyst (the red line in Fig. 6(c)). Overall, a larger amount of reforming catalyst results in lower wall temperatures (Fig. 6(c)) and a lower outlet conversion on each side of the reactor (Fig. 6(d)). In contrast, a smaller amount of reforming catalyst results in higher wall temperatures (Fig. 6(c)) and a higher outlet conversion on the combustion side (Fig. 6(d)), but a lower outlet conversion on the reforming side due to the lack of enough amount of reforming catalyst (Fig. 6(d)).
Fig. 7 shows the axial heat flux profiles obtained for two representative cases. In the case of Kreforming = 2.0 (Fig. 7(a)), the heat flux generated is smaller than that consumed near the entrance to the reactor, thus decreasing the wall temperature. At a certain axial position (about 8 mm), the heat flux generated becomes larger than that consumed, thus increasing the wall temperature. As a result, a cold spot is formed, as shown in Fig. 7(a) as well as Fig. 6(c) (the red line). In the case of Kreforming = 0.5 (Fig. 7(b)), the opposite occurs. The heat flux generated is much larger than that consumed near the entrance to the reactor, thus increasing the wall temperature. In the first half of the reactor, a large amount of heat released by catalytic combustion is transferred to the reforming side, and thus a peak appears on each of the two heat flux profiles. As a result, a hot spot is formed at axial position about 15.6 mm, as shown in Fig. 7(b) as well as Fig. 6(c) (the blue line). In this case, the catalyst loadings must be carefully designed to avoid deactivation of the catalyst on each side of the reactor.
Fig. 7 Reaction heat fluxes along the longitudinal axis of the reactor. Panel (a): a cold spot is formed in the reactor. Panel (b): a hot spot is formed in the reactor. |
(27) |
The Péclet number, which characterizes the strength of convection relative to molecular diffusion, is defined as the ratio of the time scale of mass transfer in the transverse direction to residence time
(28) |
The Fourier number is defined as the ratio of residence time to the time scale of heat transfer in the transverse direction
(29) |
The three dimensionless numbers defined above give the relative strengths of the different phenomena of heat and mass transport. The thermodynamic properties of the mixture depend on the local temperature and composition, and they are computed at a point located at 10.0 mm downstream of the entrance for the sake of simplicity. This location is sufficiently downstream to allow preheating of the mixture, but not too far downstream where the reforming reaction has proceeded to completion, as illustrated in Fig. 5. The transverse Damköhler number is not sensitive to the reformer dimension, as shown in Fig. 8(a), since the reforming reaction is under kinetic control, as illustrated in Fig. 3(a). Fig. 8(a) also quantifies the relative importance of the transport time scales in the transverse direction and in the axial direction (red and blue lines). Under the conditions examined here, all of the Fourier numbers are greater than 10, whereas all of the Péclet numbers are strictly less than 0.1. Therefore, the time scales for both heat and mass transport in the transverse direction are about one order of magnitude shorter than those in the axial direction. On the other hand, the transverse transfer time scales are quite shorter than the intrinsic reforming reaction time scale (refer to Fig. 3(a) for more details). Overall, the above results, based on an analysis of the time scales, indicate that the intensification of the steam reforming process has been well implemented in terms of interphase heat and mass transfer in the reforming channel.
Fig. 8(b) shows the effect of channel height on the maximum wall temperature and conversion at constant inlet velocities. The dimension of the reactor plays an important role in determining the performance of the system in terms of both conversion and temperature. As the dimension of the reformer increases, three effects result in a decrease in the conversion on the reforming side: (a) the resistance to mass transfer increases in the transverse direction, (b) the total amount of the reforming catalyst used is relatively insufficient, and (c) there is a larger quantity of the reactants required to be heated on the reforming side. In addition, the maximum wall temperature decreases with increasing the dimension of the reformer. On the other hand, at all of the combustor dimensions examined here, complete conversion on the reforming side can always be achieved (Fig. 8(b)). The reactor performance is determined by both the energy input and the external resistance to mass transfer. As dimension of the combustor increases, the conversion on the combustion side decreases due primarily to the enhanced external resistance to mass transfer. In contrast, the temperature increases first and decreases later (Fig. 8(b)). In the case of smaller combustors, conversion is almost complete on each side of the reactor; in addition, the temperature increases with increasing the dimension of the combustor due primarily to the increased quantity of the reactants. In the case of larger combustors, the conversion is incomplete on the combustion side, and the temperature decreases with increasing the dimension of the combustor due primarily to the enhanced external resistance to mass transfer.
Overall, the reactor dimension can significantly affect the performance of the system in terms of both conversion and temperature for a given inlet velocity. The reactor dimension needs to be properly designed to improve the efficiency of heat exchange.
Both arrangements of the endothermic and exothermic flows in the alternate channels have been illustrated in Fig. 1. A comparison is made based on the axial heat flux and conversion profiles (Fig. 9(a) and (b)). Fig. 9(a) shows the axial heat flux profiles obtained for both heat exchange systems. The axial heat flux profiles are more uniform for the co-current heat exchange system, but more concentrated towards the reformer outlet for the counter-current heat exchange system. The ratio of the amount of heat generated to heat consumed is 0.6 at the reformer entrance for the counter-current heat exchange system and 1.6 for the co-current heat exchange system. Accordingly, the cooling effect, as described early, becomes more pronounced and a cold spot is formed for the counter-current heat exchange system. The ratio of the amount of heat generated to heat consumed is 4.8 at the reformer outlet for the counter-current heat exchange system and 2.8 for the co-current heat exchange system, eventually leading to localized overheating for each of the two systems.
Fig. 9(b) shows the axial conversion profiles for the two flow arrangements. The counter-current heat exchange system has a higher conversion at the combustor outlet than the co-current heat exchange system. For the counter-current heat exchange system, most of the heat generated by catalytic combustion is released near the combustor entrance (i.e., near the reformer outlet; refer to Fig. 1 for more details), and subsequently transferred to the reforming side. Therefore, special attention should be given to the thermal imbalance within the counter-current heat exchange system, and thermal management is always necessary to improve the reliability of the system. Furthermore, the thermal imbalance greatly increases the occurrence probability of gas-phase combustion, the counter-current heat exchange system must be carefully designed to avoid thermal runaway failures. On the other hand, the counter-current heat exchange system has a higher conversion at the reformer outlet than the co-current heat exchange system.
Comparisons are made between the two heat exchange systems in terms of multiple performance criteria, and the results are summarized in Table 3. A good thermal balance is achieved within the co-current heat exchange system, which can result in hot spot elimination and thus is a potential advantage. Better utilization of the overall heat generated by catalytic combustion is possible for the counter-current heat exchange system, making it possible to improve the conversion on each side of the reactor. The counter-current heat exchange system will cause a larger temperature gradient over the length of the reactor, and in the transverse direction. Therefore, thermal management is always necessary to avoid thermal runaway failures and reactor extinguishing. For the counter-current heat exchange system, localized insufficient heat exchange may cause hot spots or cold spots to form. The occurrence of hot spots imposes more severe constraints on the wall materials and catalysts used in the manufacture of microchannel reactors; cold spots may cause reactor extinguishing.
Co-current | Counter-current | |
---|---|---|
Inlet flow velocity of the reforming stream | 3.0 m s−1 | |
Inlet flow velocity of the combustible stream | 6.0 m s−1 | |
Outlet conversion on the reforming side | 48.6 | 58.7 |
Outlet conversion on the combustion side | 75.6 | 79.0 |
Maximum wall temperature | 1047 K | 1160 K |
Minimum wall temperature | 870 K | 848 K |
Transverse temperature difference in the gas phase | ||
Maximum | 570 K | 687 K |
Minimum | −66 K | −180 K |
Ratio between overall generated and consumed heat fluxes | 3.78 | 3.26 |
Ratio between local generated and consumed heat fluxes | ||
At the reformer outlet | 2.8 | 4.8 |
At the reformer entrance | 1.6 | 0.6 |
The minimum power output is determined by the stability limits of the materials and catalysts used.10–12 Since the reactor generates heat during operation, thermal management is required to ensure that the device is operating below the maximum operating temperature allowed. The heat generated by the catalytic combustion leads to a significant increase in catalyst temperature. Therefore, the stability of catalysts at high temperatures is of considerable interest. It is possible to design reactors in which efficient heat transfer is used to minimize temperature rise but particular attention must be paid in all cases to the temperature stability of the catalysts and materials used. In the context of high heat fluxes, the wall temperatures of an integrated system should not exceed a certain threshold in order to avoid deactivation of the catalyst on each side of the reactor. The threshold temperature (i.e., peak operating temperature or maximum normal operating temperature) of the reactor is set as 1500 K,10–12 beyond which the device may no longer function.
On the other hand, the maximum power output is determined by the maximum amount of hydrogen that can be produced before extinction occurs when the flow rate of reforming stream is sufficiently high. Outside this range of power output, the reactor will no longer function when the flow rate of combustible stream is kept constant. However, higher power output can be achieved by connecting multiple reactor units in parallel.
The reactor can also be operated effectively within a specified range of combustible stream residence-time, which is determined by the stability limits of combustion, i.e., both extinction and blowout.80 Extinction occurs due to a lack of heat generated, whereas blowout occurs due to a lack of residence time. The critical flow velocities in a stand-alone micro-combustion system are determined on the basis of a methane–air mixture in which the inlet composition is given in Table 1 (i.e., inlet equivalence ratio 0.8). The resulting prohibited window where combustion cannot be self-sustained is illustrated in Fig. 10(a) as the vertical shaded regions to ensure that the residence time of the combustible stream lies within well-defined lower and upper bounds determined by the critical flow velocities in a stand-alone micro-combustor.
The power output as a function of the flow rate of the reforming stream is investigated at various residence-times of the combustible stream by using a two-parameter continuation. Fig. 10(b) shows the power generated at different residence times of the reforming stream, assuming full utilization of the hydrogen produced from methane steam reforming in a reactor with a width of 10.0 mm. The “circle” and “pentagram” symbols indicate the stability limits of combustion and materials, respectively. Appropriate adjustments should be made to the flow rates on both sides of the reactor in order to ensure high outlet conversions, as shown in Fig. 10(b). The flow rates need to be carefully designed to meet the requirements of the stability of both combustion and materials.
The engineering maps presented in Fig. 10 can serve as a design tool for improving and optimizing the performance of an integrated micro-chemical system. Based on the operation regime presented in Fig. 10(a), an estimation about the range of the residence time of the combustible stream can be made for desired power output. Based on the power output plotted in Fig. 10(b), an estimation about the range of the residence time of the reforming stream can finally be made. Unfortunately, the range of each of the residence times is rather narrow, and thus the flow rates need to be carefully designed, as discussed above. The middle range of the residence time allowed for the combustible stream (Fig. 10(a)) and the lower bound of the residence time allowed for the reforming stream (Fig. 10(b)) will ensure higher fuel utilization and nearly complete conversion on the reforming side. This holds great promise for applications in fuel cells.
• The rapid production of hydrogen from methane steam reforming is feasible, provided that the reforming catalyst, flow rate, and reactor dimension are properly designed.
• Miniaturization of the chemical system is insufficient for process intensification. An efficient reforming catalyst is also necessary. Overall, miniaturization of the chemical system and the improvement of the reforming catalyst must be symbiotic.
• The reactor dimension needs to be properly designed to achieve high transport rates for the intensification of the steam reforming process.
• The catalyst loading is a key factor determining reactor performance, and must be carefully designed to avoid hot spots within the wall or low conversions on both sides of the reactor.
• Counter-current operation is not desirable due to the greater extremes of temperature, despite the fact that slightly better performance can be achieved. In contrast, co-current operation is recommended, as the reactor is better balanced thermally.
• A balance between the flow rates on both sides of the reactor is required to ensure reliable operation of the system. The flow rates need to be carefully designed to meet the requirements of the stability of both materials and combustion.
• From a practical point of view, the costs of the noble metal catalysts used here might be tolerable for microfabricated chemical systems. However, it is highly desirable to develop high-activity catalysts with lower cost.
The results may prove useful to those involved in the design, optimization and modification of the methane steam reforming process for the small-scale production of hydrogen and other related processes. While microchannel reactors offer many advantages for chemical production and process development, further research efforts are required to realize this microreaction technology. Special attention should be paid to the problem of catalyst deactivation. In addition, thermal management is always necessary to improve the reliability of these microfabricated chemical systems. This potential solution is currently being investigated. Furthermore, novel design methodologies are clearly needed to realize excellent thermal uniformity, high transport rates, and low pressure drop, and thus further work in design optimization is needed.
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