.FCSys.Species.'H+'.Ionomer.Fixed

Information

Assumptions:

  1. The generalized resistivities (η, θ) are fixed (e.g., independent of thermodynamic state).
  2. The electrochemical reaction rate is governed by the electrons. Therefore, the specific exchange current is zero (τ′ = 0) for protons.
  3. The conductivity is mapped to the mobility of the protons by assuming that the mobility of the substrate (e.g., C19HF37O5S-) is zero.

The default electrical conductivity (σ = 8.3*U.S/U.m) is for DuPontTM Nafion® N-112 [DuPontN112]. This is for the interaction between H+ and the solid; it does not include the additional voltage loss due to electro-osmotic drag (with H2O).

The default thermal resistivity (θ = U.m*U.K/(0.1661*U.W)) is of H gas (rather than H+) at 300 K from [Schetz1996, p. 139]. Table 1 lists the properties at other temperatures.

Table 1: Properties of H gas (not H+) [Schetz1996, p. 139]
T
/U.K
η
*U.Pa*U.s
θ*U.W
/(U.m*U.K)
2001/3.8e-61/0.1197
3001/5.3e-61/0.1661
4001/6.7e-61/0.2094
5001/8.1e-61/0.2507
6001/9.3e-61/0.2906
7001/10.6e-61/0.3292
8001/11.8e-61/0.3670
9001/13.0e-61/0.4040
10001/14.2e-61/0.4403
11001/15.3e-61/0.4761
12001/16.5e-61/0.5114
13001/17.6e-61/0.5462
14001/18.7e-61/0.5807
15001/19.8e-61/0.6149
16001/20.9e-61/0.6487
17001/22.0e-61/0.6823
18001/23.1e-61/0.7156
19001/24.2e-61/0.7488
20001/25.2e-61/0.7817
21001/26.3e-61/0.8144
22001/27.3e-61/0.8470
23001/28.4e-61/0.8794
24001/29.4e-61/0.9117
25001/30.5e-61/0.9438
26001/31.5e-61/0.9758
27001/32.5e-61/1.0077
28001/33.6e-61/1.0395
29001/34.6e-61/1.0711
30001/35.6e-61/1.1027
31001/36.6e-61/1.1347
32001/37.7e-61/1.1664
33001/38.7e-61/1.1978
34001/39.7e-61/1.2288
35001/40.7e-61/1.2592
36001/41.6e-61/1.2884
37001/42.5e-61/1.3171
38001/43.4e-61/1.3455
39001/44.4e-61/1.3735
40001/45.2e-61/1.4012
41001/46.1e-61/1.4290
42001/47.0e-61/1.4566
43001/47.9e-61/1.4842
44001/48.8e-61/1.5116
45001/49.7e-61/1.5389
46001/50.6e-61/1.5661
47001/51.5e-61/1.5933
48001/52.3e-61/1.6204
49001/53.2e-61/1.6477
50001/54.1e-61/1.6750

For more information, please see the Species model.


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