[Transport] Add IonGasTransport::electricalConductivity
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2 changed files with 24 additions and 0 deletions
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@ -73,6 +73,13 @@ public:
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//! The binary transport between two charged species is neglected.
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virtual void getMixDiffCoeffs(double* const d);
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/*! The electrical conductivity (Siemens/m).
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* \f[
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* \sigma = \sum_k{\left|C_k\right| \mu_k \frac{X_k P}{k_b T}}
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* \f]
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*/
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virtual double electricalConductivity();
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protected:
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//! setup parameters for n64 model
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void setupN64();
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@ -127,6 +127,23 @@ double IonGasTransport::thermalConductivity()
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return m_lambda;
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}
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double IonGasTransport::electricalConductivity()
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{
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vector_fp mobi(m_nsp);
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getMobilities(&mobi[0]);
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double p = m_thermo->pressure();
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double sum = 0.0;
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for (size_t k : m_kIon) {
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double ND_k = m_molefracs[k] * p / m_kbt;
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sum += ND_k * abs(m_speciesCharge[k]) * ElectronCharge * mobi[k];
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}
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if (m_kElectron != npos) {
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sum += m_molefracs[m_kElectron] * p / m_kbt *
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ElectronCharge * mobi[m_kElectron];
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}
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return sum;
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}
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void IonGasTransport::fitDiffCoeffs(MMCollisionInt& integrals)
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{
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GasTransport::fitDiffCoeffs(integrals);
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