From acd75e20fe9284b449b1f51a8337f23a9c121c1d Mon Sep 17 00:00:00 2001
From: bangshiuh <chen1671@purdue.edu>
Date: Wed, 24 Oct 2018 14:07:13 -0400
Subject: [PATCH] [Transport] Add IonGasTransport::electricalConductivity

---
 include/cantera/transport/IonGasTransport.h |  7 +++++++
 src/transport/IonGasTransport.cpp           | 17 +++++++++++++++++
 2 files changed, 24 insertions(+)

diff --git a/include/cantera/transport/IonGasTransport.h b/include/cantera/transport/IonGasTransport.h
index cff33e2b9a..93e21c407e 100644
--- a/include/cantera/transport/IonGasTransport.h
+++ b/include/cantera/transport/IonGasTransport.h
@@ -73,6 +73,13 @@ class IonGasTransport : public MixTransport
     //! The binary transport between two charged species is neglected.
     virtual void getMixDiffCoeffs(double* const d);
 
+    /*! The electrical conductivity (Siemens/m).
+     * \f[
+     *     \sigma = \sum_k{\left|C_k\right| \mu_k \frac{X_k P}{k_b T}}
+     * \f]
+     */
+    virtual double electricalConductivity();
+
 protected:
     //! setup parameters for n64 model
     void setupN64();
diff --git a/src/transport/IonGasTransport.cpp b/src/transport/IonGasTransport.cpp
index 0acd9b3973..96d749c57c 100644
--- a/src/transport/IonGasTransport.cpp
+++ b/src/transport/IonGasTransport.cpp
@@ -127,6 +127,23 @@ double IonGasTransport::thermalConductivity()
     return m_lambda;
 }
 
+double IonGasTransport::electricalConductivity()
+{
+    vector_fp mobi(m_nsp);
+    getMobilities(&mobi[0]);
+    double p = m_thermo->pressure();
+    double sum = 0.0;
+    for (size_t k : m_kIon) {
+        double ND_k = m_molefracs[k] * p / m_kbt;
+        sum += ND_k * abs(m_speciesCharge[k]) * ElectronCharge * mobi[k];
+    }
+    if (m_kElectron != npos) {
+        sum += m_molefracs[m_kElectron] * p / m_kbt *
+               ElectronCharge * mobi[m_kElectron];
+    }
+    return sum;
+}
+
 void IonGasTransport::fitDiffCoeffs(MMCollisionInt& integrals)
 {
     GasTransport::fitDiffCoeffs(integrals);