Table 1 The symbols in this paper and their meanings.
Nomenclature | |
|---|---|
\({i}_{0}\) | exchange current density |
\({i}_{\text{a}}\) | corrosion current density |
\(\eta\) | overpotential |
\({b}_{\text{a}}\) | Tafel slope |
\({v}_{\text{n}}\) | normal velocity of the moving pitting boundary |
\(F\) | Faraday constant |
\(n\) | mean charge number |
\({c}_{\text{s}}\) | metal atom concentration in solid |
\({\rho }_{\text{i}}\) | apparent mass density of species i |
\({M}_{\text{i}}\) | molar mass of species i |
\({c}_{\text{i}}\) | concentration of species i |
\(\bar{M}\) | average molar mass |
\({f}_{\text{i}}\) | molar fraction |
\({c}_{\text{l}}\) | metal ion concentration |
\({c}_{\text{l}}^{\text{sat}}\) | saturation concentration of dissolved metal ions |
\({\,c}_{\text{l}}^{\text{solid}}\) | pseudo liquid concentration |
\({D}_{\text{l}}\) | ion diffusion coefficient |
\(R(t)\) | interface position |
\(\varphi\) | non-conserved order parameter |
\(\text{u}\) | velocity of the interface motion |
\({u}_{\text{n}}\) | normal interface velocity |
\({\text{u}}_{\text{e}}\) | external moving velocity |
\(\text{n}\) | unit vector normal to the interface |
κ | local curvature of the interface |
\(a\) | coefficients related to velocity |
\(b\) | coefficients related to diffusion coefficient |
\(W\) | measure of the width of the diffusive interface |
\(L\) | interface kinetics parameter |
\(A\) | constant of proportionality |
\(t\) | time |
