TwoTempPlasmaRate.h

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//! @file TwoTempPlasmaRate.h   Header for plasma reaction rates parameterized by two
//!     temperatures (gas and electron).
 
// 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_TWOTEMPPLASMARATE_H
#define CT_TWOTEMPPLASMARATE_H
 
#include "Arrhenius.h"
 
namespace Cantera
{
 
//! Data container holding shared data specific to TwoTempPlasmaRate
/**
 * The data container `TwoTempPlasmaData` holds precalculated data common to
 * all `TwoTempPlasmaRate` objects.
 */
struct TwoTempPlasmaData : public ReactionData
{
    TwoTempPlasmaData() : electronTemp(1.), logTe(0.), recipTe(1.) {}
 
    virtual bool update(const ThermoPhase& phase, const Kinetics& kin) override;
    virtual void update(double T) override;
    virtual void update(double T, double Te) override;
    using ReactionData::update;
 
    virtual void updateTe(double Te);
 
    virtual void invalidateCache() override {
        ReactionData::invalidateCache();
        electronTemp = NAN;
    }
 
    double electronTemp; //!< electron temperature
    double logTe; //!< logarithm of electron temperature
    double recipTe; //!< inverse of electron temperature
};
 
 
//! Two temperature plasma reaction rate type depends on both
//! gas temperature and electron temperature.
/*!
 * The form of the two temperature plasma reaction rate coefficient is similar to an
 * Arrhenius reaction rate coefficient. The temperature exponent (b) is applied to
 * the electron temperature instead. In addition, the exponential term with
 * activation energy for electron is included.
 *
 *   \f[
 *        k_f =  A T_e^b \exp (-E_{a,g}/RT) \exp (E_{a,e} (T_e - T)/(R T T_e))
 *   \f]
 *
 * where \f$ T_e \f$ is the electron temperature, \f$ E_{a,g} \f$ is the activation
 * energy for gas, and \f$ E_{a,e} \f$ is the activation energy for electron.
 * Ref.: Kossyi, I. A., Kostinsky, A. Y., Matveyev, A. A., & Silakov, V. P. (1992).
 * Kinetic scheme of the non-equilibrium discharge in nitrogen-oxygen mixtures.
 * Plasma Sources Science and Technology, 1(3), 207.
 * doi: 10.1088/0963-0252/1/3/011
 *
 * @ingroup arrheniusGroup
 */
class TwoTempPlasmaRate : public ArrheniusBase
{
public:
    TwoTempPlasmaRate();
 
    //! Constructor.
    /*!
     *  @param A  Pre-exponential factor. The unit system is (kmol, m, s); actual units
     *      depend on the reaction order and the dimensionality (surface or bulk).
     *  @param b  Temperature exponent (non-dimensional)
     *  @param Ea  Activation energy in energy units [J/kmol]
     *  @param EE  Activation electron energy in energy units [J/kmol]
     */
    TwoTempPlasmaRate(double A, double b, double Ea=0.0, double EE=0.0);
 
    TwoTempPlasmaRate(const AnyMap& node, const UnitStack& rate_units={}) : TwoTempPlasmaRate() {
        setParameters(node, rate_units);
    }
 
    unique_ptr<MultiRateBase> newMultiRate() const override {
        return unique_ptr<MultiRateBase>(
            new MultiRate<TwoTempPlasmaRate, TwoTempPlasmaData>);
    }
 
    virtual const std::string type() const override {
        return "two-temperature-plasma";
    }
 
    virtual void setContext(const Reaction& rxn, const Kinetics& kin) override;
 
    //! Evaluate reaction rate
    /*!
     *  @param shared_data  data shared by all reactions of a given type
     */
    double evalFromStruct(const TwoTempPlasmaData& shared_data) const {
        // m_E4_R is the electron activation (in temperature units)
        return m_A * std::exp(m_b * shared_data.logTe -
                              m_Ea_R * shared_data.recipT +
                              m_E4_R * (shared_data.electronTemp - shared_data.temperature)
                              * shared_data.recipTe * shared_data.recipT);
    }
 
    //! Evaluate derivative of reaction rate with respect to temperature
    //! divided by reaction rate
    /*!
     *  This method does not consider changes of electron temperature.
     *  A corresponding warning is raised.
     *  @param shared_data  data shared by all reactions of a given type
     */
    double ddTScaledFromStruct(const TwoTempPlasmaData& shared_data) const;
 
    //! Return the electron activation energy *Ea* [J/kmol]
    double activationElectronEnergy() const {
        return m_E4_R * GasConstant;
    }
};
 
}
 
#endif