IonGasTransport.h

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/**
 * @file IonGasTransport.h
 */
 
// This file is part of Cantera. See License.txt in the top-level directory or
// at https://cantera.org/license.txt for license and copyright information.
 
#ifndef CT_ION_GAS_TRANSPORT_H
#define CT_ION_GAS_TRANSPORT_H
 
#include "MixTransport.h"
 
namespace Cantera
{
//! Class IonGasTransport implements Stockmayer-(n,6,4) model for transport of ions.
/*!
 * As implemented here, only binary transport between neutrals and ions is considered
 * for calculating mixture-average diffusion coefficients and mobilities. When
 * polarizability is not provide for an ion, LJ model is used instead of n64 model.
 * Only neutral species are considered for thermal conductivity and viscosity.
 *
 * References for Stockmayer-(n,6,4) model: Selle and Riedel @cite selle1999,
 * @cite selle2000; Han et al. @cite han2015; Chiflikian @cite chiflikian1995; and
 * Viehland et al. @cite viehland1975.
 *
 * Stockmayer-(n,6,4) model is not suitable for collision between O2/O2-
 * due to resonant charge transfer. Therefore, an experimental collision
 * data is used instead.
 *
 * Data taken from @cite prager2005.
 *
 * @ingroup tranprops
 */
class IonGasTransport : public MixTransport
{
public:
    IonGasTransport() = default;
 
    string transportModel() const override {
        return "ionized-gas";
    }
 
    void init(shared_ptr<ThermoPhase> thermo, int mode) override;
 
    //! Viscosity [Pa·s] of the mixture.
    //! Only neutral species contribute to viscosity.
    double viscosity() override;
 
    //! Returns the mixture thermal conductivity [W/m/K].
    //! Only neutral species contribute to thermal conductivity.
    double thermalConductivity() override;
 
    //! The mobilities for ions in gas.
    //! The ion mobilities are calculated by Blanc's law.
    void getMobilities(span<double> mobi) override;
 
    //! The mixture transport for ionized gas.
    //! The binary transport between two charged species is neglected.
    void getMixDiffCoeffs(span<double> d) override;
 
    /**
     * The electrical conductivity [siemens/m].
     * @f[
     *     \sigma = \sum_k{\left|C_k\right| \mu_k \frac{X_k P}{k_b T}}
     * @f]
     */
    double electricalConductivity() override;
 
protected:
    //! setup parameters for n64 model
    void setupN64();
 
    //! Generate polynomial fits to the binary diffusion coefficients.
    //! Use Stockmayer-(n,6,4) model for collision between charged and neutral species.
    void fitDiffCoeffs(MMCollisionInt& integrals) override;
 
    /**
     * Collision integral of omega11 of n64 collision model.
     * The collision integral was fitted by Han et al. using the table
     * by Viehlan et al.
     * Note: Han release the range to 1000, but Selle suggested that
     * a high temperature model is needed for T* > 10.
     */
    double omega11_n64(const double tstar, const double gamma);
 
    //! electrical properties
    vector<double> m_speciesCharge;
 
    //! index of ions (exclude electron.)
    vector<size_t> m_kIon;
 
    //! index of neutral species
    vector<size_t> m_kNeutral;
 
    //! index of electron
    size_t m_kElectron = npos;
 
    //! parameter of omega11 of n64
    DenseMatrix m_gamma;
 
    //! polynomial of the collision integral for O2/O2-
    vector<double> m_om11_O2;
};
 
}
 
#endif