degrad-latex.txt

\begin{center}
\text{Anode: } $ H_{2} \rightarrow 2H^+ + 2e^- $ \\
\text{Cathode: } $ \frac{1}{2} O_{2} + 2e^- + 2H^+ \rightarrow H_2 O $ \\
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J = -D \frac{\partial c}{\partial x} \\

\begin{tabular}{ c c c }
 $J$ & diffusive flux & $\frac{mol}{m^2*s}$ \\ 
 $D$ & diffusivity coefficient & $m^2/s$ \\
 $c$ & concentration & $mol/m^3$ \\
 $c_{feed}$ & concentration of inlet hydrogen feed & 1000ppm $H_2$ in Ar \\
 $R$ & resistance & Ohms\\
 $F$ & Faraday’s constant & 96485 $\frac{C}{\text{mol }e^-}$ \\
 $T$ & temperature & $353.15 K$ \\
 $x$ & position along axis of thickness of CL & $m$ \\
 $c_{CL}$ & concentration of hydrogen gas in CL & $mol/m^3$ \\
 $i(x)$ & position-dependent charge density & $C/m^3$ \\
 $i_{0}$ & exchange current density & $2*10^{-4} \frac{A}{m}$ \\
 $n$ & number of electrons involved in reaction & 2\\ 
 $E$ & effective potential & V\\
 $E_{eq}$ & equilibrium potential & $0.0 V$\\
 $c_{H_2}$ & $=c_{CL}$ concentration of hydrogen gas & $1100 mol/m^3$\\
 $c_{H_2}^*$ & reference concentration of hydrogen gas & $1 mol/m^3$\\
 $c_{H^+}$ & concentration of protons & $1100 mol/m^3$\\
 $c_{H^+}^*$ & reference concentration of protons & $1 mol/m^3$\\
 $a_{v}$ & effective active Pt area per volume agglomerate & $\frac{m^2_Pt}{m^3_ {CL}}$\\
 $\alpha$ & dimensionless charge transfer coefficient & $0.5$\\
 $L_{Pt}$ & Pt loading & $0.2 \frac{\text{mg Pt}}{cm^2}$ \\
 $A_{agg}$ & effective Pt surface area per gram Pt & $40 \frac{cm^2}{\text{mg Pt}}$ \\
 $R_{agg}$ & radius of the agglomerate sphere & $0.1*10^{-6} m$\\
 $\delta_f$ & radial thickness of ionomer thin film & $20*10^{-9} m$\\
 $\ell_{CL}$ & CL thickness & $15*10^{-6} m$ \\
 $D^{eff}_{CL}$ & effective diffusivity of CL & $2.3*10^{-5} \frac{cm^2}{s}$ \\
 $D_{agg}$ & diffusivity of agglomerate & $8.45*10^{-10} \frac{cm^2}{s}$ \\
 $D_f$ & diffusivity of ionomer thin film & $0.5*10^{-5} \frac{cm^2}{s}$ \\
 $\eta$ & local overpotential & V\\
 $\varepsilon$ & ionomer content fraction in agglomerate & $0.5 \frac{\text{avg vol ionomer}}{\text{vol agglomerate}}$\\
 $V^*$ & volumetric ratio of agglomerate in CL & $0.4$ \\
 $\Phi$ & Thiele modulus \\
 $S$ & solubility coefficient of hydrogen into water & $1.6 \frac{mol_{H_2}}{\text{kg water}}$ \\
 $\beta, \gamma, \Omega, \zeta$ & constants \\
\end{tabular}