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Fixed sign error on the last term of the equation for Phi in the corr…
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…osion app
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David Montiel Taboada committed Mar 4, 2024
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2 changes: 1 addition & 1 deletion applications/corrosion/tex_files/corrosion.tex
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Expand Up @@ -239,7 +239,7 @@ \section{Governing Equations}
\end{equation}
\noindent where $c_i =c_M, c_+$ and $\Phi$ is the electrostatic potential. The last term of the right hand side of Eq. \eqref{conc_dynamics} is zero for $c_i =c_+$ because $i_{rxn}$ is the reaction current density for the dissolution of the metal (M), which does not involve the supporting cation (+) and anion (-). The SBM reformulated governing equation for the potential is
\begin{equation}
\nabla \cdot (\psi \kappa \nabla \Phi) = F \nabla \cdot \left[ \psi \left( z_M (D_- - D_M) \nabla c_M + z_+ (D_- - D_+) \nabla c_+ \right) \right] + |\nabla \psi | i_{rxn},
\nabla \cdot (\psi \kappa \nabla \Phi) = F \nabla \cdot \left[ \psi \left( z_M (D_- - D_M) \nabla c_M + z_+ (D_- - D_+) \nabla c_+ \right) \right] - |\nabla \psi | i_{rxn},
\end{equation}
where
\begin{equation}
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