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

Fixed properties

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)
200 1/3.8e-6 1/0.1197
300 1/5.3e-6 1/0.1661
400 1/6.7e-6 1/0.2094
500 1/8.1e-6 1/0.2507
600 1/9.3e-6 1/0.2906
700 1/10.6e-6 1/0.3292
800 1/11.8e-6 1/0.3670
900 1/13.0e-6 1/0.4040
1000 1/14.2e-6 1/0.4403
1100 1/15.3e-6 1/0.4761
1200 1/16.5e-6 1/0.5114
1300 1/17.6e-6 1/0.5462
1400 1/18.7e-6 1/0.5807
1500 1/19.8e-6 1/0.6149
1600 1/20.9e-6 1/0.6487
1700 1/22.0e-6 1/0.6823
1800 1/23.1e-6 1/0.7156
1900 1/24.2e-6 1/0.7488
2000 1/25.2e-6 1/0.7817
2100 1/26.3e-6 1/0.8144
2200 1/27.3e-6 1/0.8470
2300 1/28.4e-6 1/0.8794
2400 1/29.4e-6 1/0.9117
2500 1/30.5e-6 1/0.9438
2600 1/31.5e-6 1/0.9758
2700 1/32.5e-6 1/1.0077
2800 1/33.6e-6 1/1.0395
2900 1/34.6e-6 1/1.0711
3000 1/35.6e-6 1/1.1027
3100 1/36.6e-6 1/1.1347
3200 1/37.7e-6 1/1.1664
3300 1/38.7e-6 1/1.1978
3400 1/39.7e-6 1/1.2288
3500 1/40.7e-6 1/1.2592
3600 1/41.6e-6 1/1.2884
3700 1/42.5e-6 1/1.3171
3800 1/43.4e-6 1/1.3455
3900 1/44.4e-6 1/1.3735
4000 1/45.2e-6 1/1.4012
4100 1/46.1e-6 1/1.4290
4200 1/47.0e-6 1/1.4566
4300 1/47.9e-6 1/1.4842
4400 1/48.8e-6 1/1.5116
4500 1/49.7e-6 1/1.5389
4600 1/50.6e-6 1/1.5661
4700 1/51.5e-6 1/1.5933
4800 1/52.3e-6 1/1.6204
4900 1/53.2e-6 1/1.6477
5000 1/54.1e-6 1/1.6750

For more information, please see the Species model.

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