isothermal 2D/1D across-the-channel model [1â3]. ... 450. 550. 650. Figure 2: Variation of the current density, I, with GDL compression ratio, CR, at 0.2V.
Understanding the Interplay Between GDL Compression and Operating Conditions in Liquid-Feed DMFCs P. A. Garc´ıa-Salaberri, M. Vera
http://fluidosuc3m.es/
Dept. de Ingenier´ıa T´ermica y de Fluidos, Universidad Carlos III de Madrid, Legan´es, Madrid, Spain
Multiphysics Model
PEM
Figure 1: Numerical domains of the 2D
GDL
anode/cathode GDL models and the 1D local model comprising the CLs, MPLs and PEM.
Anode CL MOR : CH3 OH + H2 O → CO2 + 6 H+ + 6 e− HER : 6 H+ + 6 e− → 3 H2 Cathode CL ORR : 3/2 O2 + 6 H+ + 6 e− → 3 H2 O MOR : CH3 OH + H2 O → CO2 + 6 H+ + 6 e−
cathode
ch CO 2
70
50
I [mA/cm2 ]
Ip [mA/cm2 ] 3
ch CO 2
3.5 4 [mol/m3 ]
= 1 M (CR = 10%)
4.5
0
5
(40%)
2 M (10%)
2
2.5
(40%)
3
ch CO 2
3.5 4 [mol/m3 ]
3 M (10%)
4.5
5
(40%)
50
600
60 80
50
400
60 200
50 50
40
40 30 0.1
1
2
40
2
60 mW/cm
20
y [μm]
300
anode ηa
= 2 mol/m (Graphite/Metallic)
3 mol/m (G/M)
ch Cml
4 mol/m3 (G/M)
= 3M
3
ch [M] Cml
4
5
5 mA/cm2
30 0.1
6
1
0
10
20
CR [%]
30
40
for graphite/metallic bipolar plates and different operating conditions: (a) oxygen concentrach = 4 mol/m3, and various methanol concentrations, and (b) methanol concentration, tion, CO 2 ch = 3 M, and various oxygen concentrations; 1 − sch = 0.3; sch = 0.4; T = 70 ◦C. Cml a c
0.5
1
3 C ch O2 = 2 mol/m
CO2 [mol/m3 ] 5
anode
0
ηa
H2 evol.
1.2
ηc
0.6 0
-250 -550
cathode 0
0
150
3 mol/m3
4 mol/m3
0.5 x [mm]
1
2.5 0
P @ 0.2 V [mW/cm2 ]
120
60
30
5
6
90
sch c = 0.2 sch c = 0.4 sch c = 0.6
Low Influence Flooding High Influence Flooding
60
30
1
2
ch Cml [M]
3
4
0 0.1
1
2
ch Cml [M]
3
4
300 450 I [mA/cm2 ]
Future Work
5 mol/m3 600
750
Figure 4: Polarization curves for various oxy-
[V]
Figure 2: Variation of the current density, I, with GDL compression ratio, CR, at 0.2 V
0.6 0
cathode
300
50
0
1.2
ηc
-250
0
0.3
2 mol/m3 ηa
Condensation Dominant
Gas Blockage Dominant
0.1
anode
ch [M] Cml
4
Cathode Saturation Level (CR=10%) 150
= 0.1 = 0.3 = 0.6
3
ch , and cell temperature, T , at 0.2 V for CR = 10%. (down) Variamethanol concentration, Cml ch , at 0.2 V corresponding to various tion of the power density, P , with methanol concentration, Cml ch ch 3 anode, sch a , and cathode, sc , saturation levels for CR = 10%. Graphite BPP; CO2 = 6 mol/m ; other operating conditions as in Fig. 2.
0.2
1
3 C ch O2 = 3.5 mol/m
0
-550
0
0.5
1− 1− 1−
sch a sch a sch a
2
Figure 5: (up) Variation of the power density, P , and parasitic current density, Ip, with
0.4
CO2
cathode
300
350
0.6 0
-250 -550
3
1.2
ηc
90
0 0.1
0.5
current
0
ch 3 C ch ml = 3 M, varying C O2 [mol/m ]
0.6
3 C ch O2 = 5 mol/m
450
50
120
The impact of GDL compression is extended to the whole polarization curve as the availability of oxygen decreases. Oxygen starvation arises primarily under the rib, leading for low oxygen concentrations to a spontaneous hydrogen evolution at the anode that may accelerate catalyst degradation [5].
y [μm]
40
70 100
ch , corresponding to 10% and 40% compressed GDLs: (a) power methanol concentrations, Cml density, P ; and (b) parasitic current density, Ip, and methanol utilization, FU = (I + Ip)/I . Graphite BPP; other operating conditions as in Fig. 2.
150
30
800
Figure 3: Cell performance at 0.2 V as a function of oxygen concentration, COch2 , for various
y [μm]
3
150
I p @ 0.2 V (CR=10%)
80
T [◦ C]
2.5
ch Cml
250
CR [%]
2
3
550
250
20
80
25
[V]
I [mA/cm2 ]
= 1 M (Graphite/Metallic) = 4 mol/m
P @ 0.2 V (CR=10%)
75
40
(b)
650
350
10
100
[V]
(a)
0
0
55
Oxygen Starvation
450
50
90
150
There is an optimum GDL compression ratio (CR) that maximizes cell performance due to the trade-off between concentration and ohmic losses. The optimum CR is strongly dependent on the bipolar plate material [3]. In addition, some variations arise due to the particular operating conditions of the cell [4]. Lower CRs lead to higher power densities when the availability of reactants is severely limited.
3 M (G/M)
180
Anode Gas Coverage Level (CR=10%)
Optimum Compression Ratio
ch CO 2
270
P @ 0.2 V [mW/cm2 ]
2D Model
2 M (G/M)
70
10
ch ch CO s c 2
550
85
2D Model
MPL
ch Cml
Vcell = 0.2 V
25
T
CL
650
360
100
Vcell [V]
x
(b)
(a)
BPP
ch ch sa Cml
y
Beyond GDL compression, complex interrelated phenomena affect cell performance in different ways depending on the operating conditions. At low-to-intermediate methanol concentrations, DMFC performance increases with cell temperature due to the higher species diffusivity/amount of methanol vapor and lower activation/ohmic losses in the cell. However, the growth of the parasitic current with methanol concentration and cell temperature offsets such positive effects [6]. As a result, an optimum working temperature exists at high methanol concentrations. The anode gas coverage factor and, especially, the cathode saturation level have also a major impact on cell performance.
T [◦ C]
anode
There exists an optimum methanol concentration due to the trade-off between anode polarization losses and cathode mixed potential. An over-compression of the GDL hinders transport of methanol and oxygen, leading to a decrease of the cell performance despite the reduction of the parasitic current.
FU [%]
1D local model Computational domain
Cell Temperature
P [mW/cm2 ]
The coupled effects of GDL assembly compression and operating conditions on the performance of Direct Methanol Fuel Cells (DMFC) are explored by means of an isothermal 2D/1D across-the-channel model [1–3]. The formulation incorporates a comprehensive 2D description of the anode and cathode GDLs, including two-phase phenomena, non-uniform anisotropic transport properties, and GDL/BPP electrical contact resistances. The effective properties of the GDL and contact resistances are evaluated from empirical data corresponding to Toray carbon paper. Two-phase transport in the MPLs, and water/methanol crossover and proton transport in the PEM are described by a 1D local model, while the catalyst layers are treated as infinitely thin surfaces.
Reactant Concentration
ch , gen concentrations at the cathode channel, CO 2 and a fixed methanol concentration at the anch = 3 M. (left) Oxygen concenode channel, Cml tration field at the cathode GDL, electric current lines, and anode/cathode overpotentials at 0.2 V for various oxygen concentrations and a ch = 3 M; other fixed methanol concentration, Cml operating conditions as in Fig. 2.
Further extensions of the present model will be presented in future work, including the development of a fully 3D model or the incorporation of electrical contact resistances at the MPL/CL and GDL/MPL interfaces.
References [1] P.A. Garc´ıa-Salaberri, M. Vera, R. Zaera, Int. J. Hydrogen Energy, 36 (2011) 11856–11870. [2] P.A. Garc´ıa-Salaberri, M. Vera, I. Iglesias, J. Power Sources 246 (2014) 239–252. [3] P.A. Garc´ıa-Salaberri, M. Vera, J. Power Sources (2015) DOI 10.1016/j.jpowsour.2015.02.112 [4] Y. Zhu, C. Liu, J. Liang, L. Wang, J. Power Sources 196 (2011) 264–269. [5] T. Arlt, I. Manke, K. Wippermann, et al., J. Power Sources 221 (2013) 210–216. [6] M.K. Ravikumar, A.K. Shukla, J. Electrochem. Soc. 143 (1996) 2601–2606.