Literature DB >> 36092551

Effect of Ionic Mass Transport on the Performance of a Novel Tubular Direct Carbon Fuel Cell for the Maximal Use of a Carbon-Filled Porous Anode.

Raihan Choudhury1, Ah-Hyun Kang1, Donggeun Lee1.   

Abstract

Despite a large number of existing studies about direct carbon fuel cells (DCFCs), sufficient power generation has remained a major technical challenge for the commercialization of DCFCs. This study was designed to implement the benefits of a carbon-filled porous anode developed in our recent studies in a unit cell. First, we developed a new tubular cell assembly comprising an anode, a thin matrix, and a tubular cathode with a certain number of holes in its surface. By employing a reference electrode, we measured the resistance and I-V-P characteristics of the anode, a cathode with a single hole, and the entire cell. As a result, we found that the cathode performance was degraded by resistance to ionic mass transfer, while the anode resistance was invariant (∼0.4 Ω cm2). By developing a semi-empirical current-potential model including an ion mass transport effect, we proved that the number of holes in the cathode surface is the key to the maximal utilization of the present anode. This eventually led to notable gains in the maximum power density to 205 mW cm-2 at 700 °C in experiments. Lastly, a durability test was conducted to reconfirm the effect of ionic mass transfer on the power generation over time.
© 2022 The Authors. Published by American Chemical Society.

Entities:  

Year:  2022        PMID: 36092551      PMCID: PMC9453993          DOI: 10.1021/acsomega.2c03003

Source DB:  PubMed          Journal:  ACS Omega        ISSN: 2470-1343


Introduction

Burning coal to generate electricity remains an established and economical method for the utilization of coal.[1] However, the process poses daunting challenges to the environment, such as high emission of greenhouse gases and particulate matter. A direct carbon fuel cell (DCFC) was considered as an ideal alternative (to combustion) for using coal more efficiently and with less environmental impact. In fact, DCFCs are known to operate with near 100% thermal efficiency and with an ease of CO2 capture relative to that of coal-burning industries, which has prompted a large number of fundamental studies on DCFCs.[2−10] Theoretically, an anode reaction takes place in molten carbonate (MC)-based DCFC systems between carbon (C) and nearby carbonate ions (CO32–) in a pool of the MC electrolyte, resulting in the production of CO2 and electrons,[4] as shown in eq . The carbonate ions are produced on the cathode by the electrochemical reduction reaction between oxygen (O2) and carbon dioxide (CO2) in accordance with eq . They are then transported through the MC electrolyte to the anode.[1] Because carbonate ions are available only in the MC electrolyte, the carbon must be in simultaneous contact with the electrolyte to produce electrons and with the anode to collect the electrons. The mutual contact area between the fuel, anode, and electrolyte is known as the triple phase boundary (TPB), and it determines the activity of the anode. Likewise, eq indicates that the gas mixture should be in contact with the cathode and electrolyte to create and transport the carbonate ions, respectively. One may notice that the extent of this contact can also determine the activity of the cathode. Because the overall cell reaction is the result of three consecutive reactions—anode reaction, ion diffusion, and cathode reaction in series—any of the elementary reactions, if insufficient, can limit the overall cell performance.[1] There have been extensive efforts to increase anode and cell performance by testing a variety of materials and structures for use as anodes and fuels and by utilizing different types and compositions of the electrolyte.[10−14] For instance, Kulkarni et al.[15] employed an anode of La0.6Sr0.4Co0.2Fe0.8O3±δ (LSCF) with carbon black and micronized graphite as fuel and reported a moderate maximum power density (MPD) of 42 mW cm–2 at 800 °C. Because LSCF is known to have low electronic conductivity and an unstable anode structure in reducing atmosphere at high temperatures, porous Ni/NiO-yttria-stabilized zirconia (YSZ) or Ni/NiO-scandium-stabilized zirconia (ScSZ) has often been used to circumvent the drawbacks of LSCF. Liu et al.[16] developed an anode-supported tubular DCFC in which the anode was modified with a NiO/ScSZ functional layer, resulting in an increase of the MPD to up to 104 mW cm–2 at 850 °C. Similarly, a Ni/samarium-doped ceria (SDC) on an SDC electrolyte was tested as a mixed ionic and electronic conductor (MIEC) anode, particularly for lowering the operation temperature, but the MPD still remained below 100 mW cm–2 at 650 °C.[17] Overall, those solid MIEC anodes on a solid electrolyte turn out not to be as effective as expected for extending TPB sites beyond the two-dimensional anode-electrolyte interface, even at high temperatures. Here, it is worth noting that remarkable progress in increasing MPD has been observed in hybrid DCFC systems using MC as a redox mediator[18] or using molten metal.[19] Similar to Ju et al.,[20] who loaded a mixture of Sn and carbon fuel on a Ni-YSZ anode, Jayakumar et al.[19] developed a mixed fuel molten metal Sb anode/ScSz system and reported 350 mW cm–2 at 700 °C. That this notable result was obtained at an intermediate temperature was attributed to the excellent function of the molten Sb as a redox mediator (2Sb + 3O2– → Sb2O3 + 6e and Sb2O3 + 3/2C → 2Sb + 3/2CO2), relative to the performance of other low-melting point metals, such as Bi, Si, and Pb. Clearly, this system requires a perfect suspension of fuel particles in the melt of Sb and Sb2O3 for the maximal utilization of Sb, just as with the concept of the aforementioned TPB, which limits the use of some fuels in this system (such as a sugar char, which has a density similar to that of the molten metal). Jiang et al.[18] loaded a mixture of fuel and carbonates on a Ni-YSZ anode/YSZ electrolyte and reported that the highest MPD was 878 mW cm–2 at 850 °C. This seems to indicate that the first hurdle for the commercialization of DCFCs has been overcome. However, it should be recalled that the potential benefits of DCFCs are realized only when using the direct electrochemical oxidation of carbon in the solid phase, not through the conversion of carbon to gaseous fuels such as CO. It is interesting to notice that the previous promising improvements in MPD have been attained mostly at high temperatures (>700 °C), where most carbon fuels are converted to CO through the Boudouard reaction (C + CO2 = 2CO).[10,18,19] This implies that MPD still remains a technical challenge in DCFCs, which turned our attention back to fundamental questions of how much MPD could increase and what the intrinsic limit would be without any contribution from gaseous fuels. Recently, we proposed two novel ideas to increase the MPD to the limit based on TPB formation in a porous Ni anode. For example, Li et al.[21] directly generated three types of pure carbon nanoparticles in a porous Ni anode through thermal decomposition of gaseous hydrocarbons and then tested a carbon-filled porous anode with a three-electrode MC–DCFC system at 700 °C. The results were promising for increasing the anode MPD well beyond 500 mW cm–2 if the best control of morphology and crystallinity of carbon could be achieved. Another trial[22] was used to flow graphite powder–MC slurry through a porous Ni anode at 700 °C, which enabled a notable increase of the anode MPD to 645 mW cm–2 upon the best size matching between the fuel particles and anode pores in a pool of MC. The enhanced anode performance was attributed to a dramatic increase of TPB sites and the resulting decrease of anode resistance below 0.1 Ω cm2. It should be noted that this result was attained simply by increasing the physical contact between the fuel particles and anode, even with pure carbons that contain the least amounts of gaseous species and catalytic ashes, such as in conventional coals or biomass.[23] This suggests that the intrinsic limit of anode MPD from the solid-state electrochemical oxidation of carbon is comparable to the MPD level of hydrogen-fueled fuel cells [e.g., MPD > 978 mW cm–2 for a proton exchange membrane fuel cell (PEMFC)[24]]. Another potential benefit of our approaches would be to enable an easy, at least intermittently continuous fuel supply, which might solve the other critical challenge with DCFCs (i.e., long-term operation).[25,26] Noting that our previous studies[21,22] were all about fuel-filled anodes and their performance, the initial objective of this study was to verify the performance increase at the level of a full cell. We developed a new tubular cell assembly consisting of a carbon-filled porous anode, a thin matrix, and a tubular cathode with a certain number of holes for carbonate ion transport. In a series of preliminary experiments, we measured the resistance of the components and of the full cell to verify that the cathode with a single hole exhibited a high level of mass transfer resistance, in fact, the major part of cell resistance. Based on the result, we developed a semi-empirical current–potential model to figure out how many holes are most effective for reducing the cathode resistance and why. Finally, we performed a durability test for the two cells with a single hole or multiple holes to reconfirm the effect of ionic transport passage on MPD over the lifetime.

Materials and Methods

The present tubular cathode-supported full cell was prepared as follows. First, a 7.2 mm-diameter, closed-bottom silver tube was employed as a cathode. Different numbers of 1.0 mm holes were drilled into the side walls of silver tubes, starting from a single hole for case 1 to 12, 24, and 84 holes for cases 2, 3, and 4 (Figure a), respectively, to control the total area of openings available for ion transport. For comparison, a flat-plate silver cathode used in our previous work[21−23] was also considered. Second, a 1.2 mm thick porous Ni foam with a pore size of 50–75 μm was tightly wrapped on the silver tube, the surface of which was coated with a 1.2 mm thick ceramic matrix separating the two electrodes. Third, the anode–matrix–cathode assembly was installed in a quartz tube and then placed in the middle of a hot-wall tube furnace maintained at 500 °C. Propane gas was made to flow through the annular space of Ni foam at a rate of 55 mL min–1, leading to the formation of carbon nanofibers (CNF) in the pore region of the Ni foam. This thermal decomposition reaction was set to continue until the carbon loading in the Ni networks reached 5% by mass. The carbon-loaded porous Ni foam was detached from the cathode-supported anode assembly and then cut into slices for the subsequent visualization using a scanning electron microscope (Carl Zeiss AG—Supra 25, 10 kV). Figure S1 in the Supporting Information compares the scanning electron microscopy (SEM) images of the Ni foam before and after the carbon formation. Details of the carbon production method are available elsewhere.[21]
Figure 1

Features of the present tubular MC–DCFC system: (a) design change in the cathode tube, (b) experimental setup of the entire system consisting of a WE, a CE, and an RE, and (c) schematic illustration of the difference in oxidant gas supply to the cathode (CE) between the present cell and the previous system.

Features of the present tubular MC–DCFC system: (a) design change in the cathode tube, (b) experimental setup of the entire system consisting of a WE, a CE, and an RE, and (c) schematic illustration of the difference in oxidant gas supply to the cathode (CE) between the present cell and the previous system. Figure b shows the setup of the present MC–DCFC system, which includes a carbon-filled full cell, a reference electrode (RE), and a gas supply tubing assembly for each electrode. The full cell (indicated with a dotted box) is schematically depicted in Figure c for comparison with the flat-plate cathode. Note that a 3 mm diameter copper tube was inserted into and then spot-welded to the cathode tube [used as a counter electrode (CE)] so that the Cu tube itself could be used as the electrical connection of the cathode and as the gas supply tube as well. The outer anode of the full cell was used as a working electrode (WE) to create electrons after being spot-welded to a flat-plate silver current collector. The RE, which was composed of a silver sheet and spot-welded to a silver wire, was sheathed in a 12 mm diameter alumina tube. Note that the RE is positioned 20 mm away from the full cell, which is sufficiently far away from the cell (i.e., the recommended greater than three electrolyte thicknesses) to eliminate any influence of the gradient in electrical potential near the electrodes.[27] After mixing lithium carbonate (Li2CO3) and potassium carbonate (K2CO3) at a mole ratio of 62:38, 350 g of the mixture was heated to melt at 700 °C in the large alumina container, as shown in Figure b. A portion (50 mL min–1) of carbon dioxide (CO2) gas was supplied equally to the CE and the RE to flush out any residual gases before the experiment, while preheating the system. When the system temperature reached 700 °C, a gas mixture of CO2 and O2 (mole ratio 2:1) was supplied to the CE and the RE. Because the full cell (including the cathode) was fully submerged in the liquid electrolyte (MC), the gas mixture provided through the inner Cu tube was bubbled in the MC inside the cathode tube (as depicted in the left figure of Figure c) with the aim of increasing the physical contact between gas bubbles and the inner wall of the cathode. In contrast, a flat-plate silver cathode identical to the silver plate in the RE was also positioned within the MC so that the gas mixture blown into the MC should be diffused into the cathode through the MC pool to produce carbonate ions (refer to the right figure in Figure c). To characterize our MC–DCFC system, we measured the difference in electrical potential between the WE and RE, the anode potential versus RE (Va), and the cathode potential (VC) between CE and RE by running an SP-150 potentiostat/galvanostat analyzer (NeoScience, Korea) at a scan rate of 1 mV s–1. Similarly, the difference in cell potential (V) between the WE and CE was measured as a function of the electrical current between the WE and CE. The electrical current density (I) was obtained by dividing the measured cell current by the apparent contact area (A) between the cathode and anode (ca. 0.61 cm2). As such, the power density (P) of the cell was calculated simply by multiplying the values of I and V. Moreover, electrochemical impedance spectroscopy (EIS) was performed on the full cell setup using the SP-150 analyzer in the frequency range of 0.06–80 kHz. Figure S2 in the Supporting Information describes the transient behaviors of temperature increase and open-circuit voltages (OCVs) during the preparation process prior to the I–V measurement. After the oxidant gas mixture was introduced to the CE and RE, the cell potential began to increase rapidly and then levelled off around the OCV in 90 min regardless of the cases. Then, the system was maintained at the OCV condition for 40 min before starting I–V measurement. After the I–V measurements, a durability test was conducted for the cells by monitoring the cell potential with time while maintaining the current density constant. We also monitored the composition of gas evolving from the anode under the MC during the durability test by connecting the exit of the carrier gas (see Figure b) to a gas chromatograph (Master GC, Dani Instruments).

Results and Discussion

Comparative Analysis of the Case 1 Cell Performance for Component-Resolved Diagnosis

The present tubular cell for case 1 was characterized by comparison with our previous three-electrode system,[21−23] in terms of the resistance of the anode, cathode, and cell, as well as the associated MPD. When it comes to the I–V–P profiles in Figure a, case 1 shows a much more gradual slope of the profile of the cell potential (VCell) relative to the current density (I) than in the previous cell with no bubbling. This resulted in a 3-fold increase of cell MPD (as denoted by the solid triangles ▲ vs circles ●). Then, we carried out an additional case study on the previous system to clarify the role of oxidant bubbling, in which the oxidant gas supply tube was repositioned under the MC surface to bubble the gas in the vicinity of the submerged flat-plate cathode. As a result, bubbling the oxidant gas was determined to double the MPD (from 11.3 to 22.8 mW cm–2), as denoted by the solid squares ■ versus circles ● in Figure a. It is noted that the I–V profiles are both seemingly linear. Because the slope in the straight section of the I–V curve represents the Ohmic resistance of the cell,[28−30] the observed increase of MPD for case 1 is likely attributable to a decrease in cell resistance, presumably resulting from the shortened anode-to-cathode distance between the electrodes (Le: from 20.0 to 1.2 mm) and from bubbling of the oxidant gas as well.
Figure 2

Electrochemical characteristics of the present full cell of case 1 in comparison with that of the previous half-cell with a flat-plate cathode in terms of (a) I–V–P profiles, (b) EIS profiles, and (c) electrode potentials at the anode and cathode vs I.

Electrochemical characteristics of the present full cell of case 1 in comparison with that of the previous half-cell with a flat-plate cathode in terms of (a) I–V–P profiles, (b) EIS profiles, and (c) electrode potentials at the anode and cathode vs I. To clarify this causal relationship, EIS measurements were performed under the OCV condition, and the results of the three cases are compared in Figure b. It should be noted that the left x intercept of the EIS semicircle for case 1, representing the electrolyte or solution resistance (Relec), is substantially shifted to the left from the values of the flat-plate cathode with or without bubbling (from 1.93 to 1.95 to 0.03 Ω cm2 for case 1). Also, the change in semicircle diameters indicates that the charge transfer resistance (RCT)[31−33] is slightly decreased from 0.14 to 0.08 Ω cm2 upon bubbling. To investigate further the behavior of the resistance with increasing I, we measured the electrical potential of the anode and cathode as a function of I using an RE, as shown in Figure c. Interestingly, the anode potential curves for the two cases are almost identical, manifesting the fact that the anode is unchanged. However, there is a large difference in the VC profile. In contrast to the flat-plate cathode, the present cylindrical cathode in case 1 sustains a high level of VC to achieve a higher current density, such that the cell potential (VCell) corresponding to the potential difference (VC – Va) can only slightly decrease with the current density until I ≤ 100mA cm–2. Here, the apparent resistance of each electrode was calculated directly from the slope of each potential curve. As a result, the cathode resistance (RCat) decreases from 14.1 Ω cm2 for the previous cell without bubbling to 7.8 Ω cm2 in the previous cell with bubbling and to 4.7 Ω cm2 for case 1, while the anode resistance (Ran) is almost invariant (∼0.4 Ω cm2) in the three cases. Likewise, the cell resistance (RCell) decreases from 17.2 to 6.7 Ω cm2 for case 1, as shown in Figure a. Combining these comparative analysis results, one may conclude that the bubbly flow of gas seems to enhance the cathode performance through the terms RCT and RCat, probably by increasing contact with the cathode via the convective transport of gas.[34−36] Another thing to note is that this reduction of RCat is approximately two-thirds of that observed in case 1, suggesting that gas bubbling plays a considerable role in the cell operation. Also, in comparison with the previous cell, the present tubular cell for case 1 is obviously effective in further decreasing the resistance of the cathode and of the cell. However, the cell resistance is still as high as 6.7 Ω cm2 due to being largely determined by the cathode. According to Jiang et al.,[10] a remarkable improvement in MPD was found upon reducing the cell resistance to <1 Ω cm2, which suggests that the cathode of case 1 should be improved further to lower the cell resistance.

Transport of Carbonate Ions as a Rate-Limiting Step

Despite the clear progress in cell performance, the power output of the full cell of case 1 was not satisfactory. To better understand the rate-limiting step, we considered the mass balance of carbonate ions inside the cathode tube from generation to transport toward the anode aswhere is the rate of change in the mole concentration (CR*) of carbonate ions inside the cathode tube with a volume ∀, ġ is the generation rate, and Ṫ is the transport rate of ions through the holes in units of moles per second. Based on the Faraday law, ġ is calculated directly from the measured current density I as ġ = IA/nF, where F is the Faraday constant and n is the number of electrons in the cathode reaction in eq . Recalling the low value of RCT in the preceding section, the cathode reaction is simplified to consist of three successive sub-step reactions: diffusive transfer of the oxidant (i.e., O2 + 2CO2 in eq ) into the cathode, surface electrochemical conversion of the oxidant to reductant (i.e., carbonate ions), and diffusive transfer of the reductant into the MC from the cathode surface. At a certain current, each of the sub-step reactions would take place at a single (identical) rate to yield a stable (steady-state) current asHere, mR and mO represent the mass transfer coefficients of the reductant and oxidant, respectively (denoted by the subscripts R and O, respectively), CR,S and CO,S are the concentrations of the species at the surface, respectively, and CO* is the bulk concentration of the oxidant inside the cathode tube. The terms CR* and CO* are assumed to be spatially uniform inside the cathode due to vigorous mixing of the MC by bubbly flow. The transport of carbonate ions is normally driven by the electrolyte potential gradient across the matrix. The local electrolyte potential φl can be produced by the existence of charge carriers (i.e., carbonate ions in this case), according to the Gauss law. In the Appendix, we described how to derive mathematical expressions on the spatial distribution of φl, particularly in the matrix. According to eq , the difference in the potential that drives the ions from the cathode hole to the anode surface is in linear proportion to CR* in the cathode tube. Hence, the ionic transport rate Ṫ through the holes can be expressed in connection with the electrical mobility (uion) and field strength (−dφl/dx) of ions aswhere nh represents the number of holes, Ah is the opening area of a single hole, and the electrolyte potential at the anode surface φl(0) is assumed to be zero in consideration of the fast anodic reaction. Because at a steady state, the Faradaic current density I can be expressed using the systematic parameters by substituting eq into eq 5 and equating eqs and 5. Note that the left-most term on the right side of eq represents the potential gradient (), which is in linear proportion to CR*, and thus, . Here, it should be noted that upon increasing I with a fixed nh, the ion concentration CR* increases in proportion to I1/2, which might create mass transfer overpotential and cause a rapid drop of VC and VCell. Inversely, the larger nh gives rise to lowering of the growth of CR* with increasing I, suggesting that the number of holes nh is a key factor determining the current density and system performance. This expectation became the motivation to increase the nh further up to 84, as stated in Section , without altering the other parameters. Recalling that cases 2–4 correspond to nh = 12, 24, and 84, respectively, we repeated the measurement of the I–V–P profiles for the three cases and compare them in Figure . As a result, the MPD of the cell is obviously increased from 35 mW cm–2 for case 1 to 80, 130, and 205 mW cm–2 for cases 2–4, respectively, in response to a gradual decrease of the slope of the I–V profile. From this slope, the cell resistance was correspondingly calculated to be 2.4, 1.26, and 1.09 Ω cm2, respectively. At the same time, MCD was considerably increased, for example, reaching 1040 mA cm–2 for case 4. Because the only difference lies in the cathode, specifically in its ionic transport capacity, the increase of cell performance indicates that the cell resistance RCell is dominated by the cathode resistance RCat, which could be progressively improved by increasing nh.
Figure 3

Comparison of I–V–P characteristics of the present full cell in cases 2–4.

Comparison of I–V–P characteristics of the present full cell in cases 2–4. To confirm this speculation, we measured the cathode potentials versus RE (VC) against the current density for the three cases. In Figure , the profiles of VC look similar to the corresponding profiles of VCell in Figure . From the slope of each profile of VC, we calculated the cathode resistance to confirm that the RCat decreases from 1.9 Ω cm2 for case 2 to 0.75 and 0.6 Ω cm2 for cases 3 and 4, respectively. Note that the values of RCat in cases 2–4 are 78.5, 63.5, and 55.0% of the RCell, respectively, such that the present cathode becomes the major factor determining the cell performance. More specifically, the RCat was halved by doubling the nh in cases 2 and 3. This implies that the cathode of case 2 does not have enough capacity to transmit as many ions as required for the high current. This results in rapid decreases of the cathode and cell potentials, as shown in Figures and 4. In cases 3–4, however, the 4-fold increase of nh does not display such a dramatic decrease of RCat observed in cases 2–3, meaning that the ionic transport capacity Ṫ in case 3 is apparently large enough to handle a large number of ions, such that the intrinsic ion generation rate ġ of the cathode might begin to limit the cathode reaction rate in terms of resistance.
Figure 4

Comparison of cathode potential-to-current density profiles in cases 2–4.

Comparison of cathode potential-to-current density profiles in cases 2–4. What follows is an equation-based discussion on the coupling of the nh and the cell resistance RCell through the CR*. On the cathode surface, the conversion reaction actually occurs by competition between the forward reaction in eq and its backward (reverse) reaction.[37] Thus, the net reaction rate is expressed bywhere kf and kb are the reaction rate constants for the forward and backward reactions, respectively, k0 is the standard reaction rate constant, and V0 is the formal potential. Accounting for vigorous mixing in the cathode, the two surface concentrations CO,S and CR,S can be correspondingly approximated to CO* and CR* (see eq ), in connection with eq (representing ); therefore, eq provides a functional relationship between nh and the cathode potential Vc. In case 1 (nh = 1), the CR* grows the fastest (with increasing I according to eq ) among the four cases. However, CR* is subjected to the minimal growth in case 4. In addition, both kf and kb are a sole function of Vc as and . This implies that kf and kb are both invariant between the cases when VC is fixed. As such, it is evident that increasing nh from cases 1 to 4 gives rise to an increase in the total current at a constant Vc by promoting the forward reaction in terms of kCO* and impeding the backward reaction in terms of kbCR*. Conversely, the potential VC at a fixed current will decrease more rapidly in case 1 than in other cases to compensate the loss of net current resulting from decrease of CO* and increase of CR*. This behavior of VC in case 1 would also appear to increase kf and decrease kb to sustain I [refer to the exponents in eq (−α vs 1 – α)]. To support the points proposed in the preceding discussion, we paid attention to the functional relationship in eq : . From Figures a and 3, we extracted the values of current density (I1/2) at VCell = 1/2VOC for the four cases and calculated the relative concentration of ions, that is, CR,*/CR,*. In Figure , we plotted the relative concentration against nh for comparison with the behavior of RCat. As a result, the relative concentration is well-correlated with the cathode resistance and shows a similar trend of decrease with the power of nh: . It seems obvious that securing sufficient ion transport passage is essential for suppressing the mass transfer resistance of the cathode through the lower accumulation of ions in the cathode.
Figure 5

Variations of the relative concentration of carbonate ions in the cathode (CR,*/CR,1*) and the relative cathode resistance (RCat,/RCat,1) with respect to the number of holes (nh).

Variations of the relative concentration of carbonate ions in the cathode (CR,*/CR,1*) and the relative cathode resistance (RCat,/RCat,1) with respect to the number of holes (nh). Next, we repeated the EIS measurements for cases 2–4 to measure RCT and Relec, which were then incorporated into the preceding data set of the elements and system that involves Ran, RCat, RCell, and MPD. After this, all of the aforementioned data were plotted against nh in Figure in an attempt to summarize the responses of the elements and system. Note that the condition in which the cathode resistance largely dominates the cell resistance shows a sharp drop with nh between cases 1 and 2. Moreover, after reaching 79% above the anode resistance in case 3, the cathode resistance shows a slight decrease in case 4. In the latter two cases, because the cathode resistance is now less than twice as large as the anode resistance, the term Ran begins to play a role in determining the cell resistance and MPD. The figure also shows that the resistances Ran and Relec are almost invariant, as expected from the fact that the anode and anode-to-cathode distance have not been changed. Overall, employing a metallic tubular cathode with a limited number of holes provides better experimental evidence for elucidating the role of the ion transport cross-section area in cathode resistance, as compared to the conventional porous cathodes used in DCFC systems.
Figure 6

Effects of nh on the resistances of the elements and the system as well as the MPD.

Effects of nh on the resistances of the elements and the system as well as the MPD.

Long-Term Stability of the DCFC

Long-term stability of DCFCs is one of the most critical concerns when developing a new type of DCFC system. For this stability test, we monitored the cell potential with increasing time at a constant current density of 50 mA cm–2 for cases 1 and 4. Figure shows that the cell potential in case 1 decreases gradually from 0.6 to 0.3 V for the initial 50 min and then rapidly falls down to 0 V at 100 min. We believe that this behavior is closely related with the gradual accumulation of reductant species (carbonate ions) in the cathode, which leads to a rapid drop of cell potential far before the complete consumption of carbon fuels (see Section ). In contrast, the potential in case 4 is maintained at around 0.9 V for 160 min and then gradually declines to 0.78 V for the next 150 min, followed by a cliff descent to 0 V at 314 min. Notably, the initial values of the potential in cases 1 and 4 (0.6 and 0.9 V, respectively) appear to be consistent with the potential values at I = 50 mA cm–2 in Figures a and 3. However, the cliff descent of cell potential in case 4 seems unnatural. Taking a close look at the raw data file for case 4, we realized that the sudden potential decrease from 0.77 to 0.58 V activated a safety protocol of the SP-150 analyzer to stop recording data. It is still unclear whether the sudden decrease of cell potential is real or a sort of artifact in the course of the emergency protocol (because the recorded time was unchanged during the last potential change). Excluding this, more importantly, the cell potential in case 4 was maintained above 0.77 V much longer than in case 1. As such, the unexpected accumulation of carbonate ions in cathode may be detrimental to MPD and stable operation of the DCFCs.
Figure 7

Long-term stability test results for the two cells of cases 1 and 4 at a fixed current density.

Long-term stability test results for the two cells of cases 1 and 4 at a fixed current density. Lastly, it is interesting to verify whether or not any gaseous fuels were involved in the performance improvement in cases 1 to 4 including the enhanced durability, as shown in Figure . Since the oxidant gas mixture supplied to the RE and CE flows only through the alumina tube, the carbon fuels inside the anode become the only source of gaseous fuels such as CH4, H2, and CO[23] filling in the DCFC chamber (see Figure b). Furthermore, our carbon fuel is pure CNF with negligible volatile species, suggesting that the Boudouard reaction of CNF with CO2 is the only possible pathway to produce CO inside the anode. Thus, we analyzed the composition of exhaust gas from the chamber using a gas chromatograph (see Section ) with a focus on CO, in the beginning, middle, and near end of the durability test for case 4. As a result, there was no sign of CO, but only CO2 was found as a major species carried by Ar gas. The CO2 concentration was almost invariant for ∼2.3% with time. The absence of CO in our DCFC chamber, however, does not necessarily indicate no contribution of CO to the MPD because the CO may be (electrochemically) oxidized to CO2 before exiting the porous anode due to its higher reactivity than that of solid carbon.[10] For the Boudouard reaction, Jalalabadi et al.[38] conducted a thermogravimetric analysis (TGA) for various raw coals and chars by flowing CO2 gas and found that a char sample fabricated from a bituminous coal exhibits no mass decrease with the temperature increasing to up to 700 °C, meaning that the bituminous char is kinetically inert to gaseous CO2 at the temperature. It is noteworthy that the bituminous char among the samples is the closest in nature to our CNF because it has the least amount of alkaline (catalytic) species in ash with no volatiles. Therefore, we conjecture that our CNF remain solid at 700 °C, not being converted to CO even at a partial pressure of CO2 of 1 atm. In addition, the present anode was fully submerged in MC liquid, which is an unfavorable condition for the carbon conversion to CO as compared with the circumstance in TGA. Because of the buoyancy and low solubility of CO2 gas in MC at 700 °C (see Table 1 of Claes et al.[39]), the CO2 gas produced by the anodic reaction would be sent to the DCFC chamber rather than participate in the carbon conversion. Last, since the durability tests were performed using the same anode at a constant current density, there should be no difference in production rates of CO2 and/or CO (if any) in the anode between the cases, contrary to the results in Figure . To sum up, all the foregoing discussion strongly indicates that the CNF are mainly (electrochemically) oxidized to CO2 in the solid phase and the improved performance of case 4 does not relate to gaseous CO.

Conclusions

In this study, we developed a new tubular cell assembly comprising a carbon-filled porous anode, a thin matrix, and a tubular cathode with a certain number of holes for carbonate ion transport. In comparison with our previous half-cell consisting of an equivalent anode positioned 20 mm from a flat-plate cathode, the present full cell was initially anticipated to show excellent power generation by shortening the anode–cathode distance as well as bubbling the MC liquid. However, the first cell with a single hole was not quite as successful as expected, even though RCT and Relec were both reduced as expected. A resistance analysis by component revealed that the cathode exhibited a limitation in the mass transfer of carbonate ions toward the anode. By developing a distinctive current-potential model incorporating the ionic transport effect, we were enabled to propose that securing sufficient ion transport is the key to solving the problem, and finally, we were able to prove it. Specifically, simply increasing the number of holes was effective for lowering the cathode resistance to the vicinity of the anode resistance (∼0.4 Ω cm2). This led to a significant increase of the MPD to 205 mW cm–2. Unlike with conventional porous cathodes, the present cathode enabled the experimental determination of the significance of mass transport resistance in a DCFC by confining the ion transport to the predetermined holes. Despite the obvious technological progress described above, there is no objection that the DCFC technology is still far from its commercialization. Lastly, we would like to remind the state-of-the-art achievements in PEMFC as a goal we aim for: MPD > 978 mW cm–2 for 10,000 cycles[24] and minimal loss of durability over rapid freezing/melting cycles for a five cell stack of PEMFCs.[40]
  5 in total

1.  Critical review of carbon conversion in "carbon fuel cells".

Authors:  Turgut M Gür
Journal:  Chem Rev       Date:  2013-05-30       Impact factor: 60.622

2.  Gas Bubbles in Electrochemical Gas Evolution Reactions.

Authors:  Xu Zhao; Hang Ren; Long Luo
Journal:  Langmuir       Date:  2019-03-28       Impact factor: 3.882

Review 3.  Challenges in developing direct carbon fuel cells.

Authors:  Cairong Jiang; Jianjun Ma; Gael Corre; Sneh L Jain; John T S Irvine
Journal:  Chem Soc Rev       Date:  2017-05-22       Impact factor: 54.564

Review 4.  A Review of Non-Soil Biochar Applications.

Authors:  Mattia Bartoli; Mauro Giorcelli; Pravin Jagdale; Massimo Rovere; Alberto Tagliaferro
Journal:  Materials (Basel)       Date:  2020-01-07       Impact factor: 3.623

5.  A simple high-performance matrix-free biomass molten carbonate fuel cell without CO2 recirculation.

Authors:  Rong Lan; Shanwen Tao
Journal:  Sci Adv       Date:  2016-08-17       Impact factor: 14.136

  5 in total

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