o2.hh

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#ifndef DUMUX_O2_HH
#define DUMUX_O2_HH
 
#include <dumux/material/idealgas.hh>
 
#include <cmath>
 
#include <dumux/material/components/base.hh>
#include <dumux/material/components/gas.hh>
 
namespace Dumux {
namespace Components {
 
template <class Scalar>
class O2
: public Components::Base<Scalar, O2<Scalar> >
, public Components::Gas<Scalar, O2<Scalar> >
{
    using IdealGas = Dumux::IdealGas<Scalar>;
 
public:
    static std::string name()
    { return "O2"; }
 
    static constexpr Scalar molarMass()
    { return 32e-3; }
 
    static constexpr Scalar criticalTemperature()
    { return 154.581; /* [K] */ }
 
    static constexpr Scalar criticalPressure()
    { return 5.0804e6; /* [N/m^2] */ }
 
    static constexpr Scalar tripleTemperature()
    { return 54.359; /* [K] */ }
 
    static constexpr Scalar triplePressure()
    { return 148.0; /* [N/m^2] */ }
 
    static Scalar vaporPressure(Scalar T)
    {
        if (T > criticalTemperature())
            return criticalPressure();
        if (T < tripleTemperature())
            return 0; // O2 is solid: We don't take sublimation into account
 
        // vapor pressure between tripe and critical points.  See the
        // paper of Prydz for a discussion
        Scalar X =
            (1 - tripleTemperature()/T) /
            (1 - tripleTemperature()/criticalTemperature());
        const Scalar A = 7.568956;
        const Scalar B = 5.004836;
        const Scalar C = -2.137460;
        const Scalar D = 3.454481;
        const Scalar epsilon = 1.514;
 
        using std::exp;
        using std::pow;
        return triplePressure()*exp(X*(A + X*(B + C*X) + D*pow(1 - X, epsilon)));
    }
 
    static constexpr bool gasIsCompressible()
    { return true; }
 
    static constexpr Scalar gasDensity(Scalar temperature, Scalar pressure)
    {
        // Assume an ideal gas
        return IdealGas::density(molarMass(), temperature, pressure);
    }
 
    static Scalar gasMolarDensity(Scalar temperature, Scalar pressure)
    { return IdealGas::molarDensity(temperature, pressure); }
 
    static constexpr bool gasIsIdeal()
    { return true; }
 
    static constexpr Scalar gasPressure(Scalar temperature, Scalar density)
    {
        // Assume an ideal gas
        return IdealGas::pressure(temperature, density/molarMass());
    }
 
    static Scalar gasEnthalpy(Scalar temperature,
                              Scalar pressure)
    {
        return gasHeatCapacity(temperature, pressure) * temperature;
    }
 
    static Scalar gasHeatCapacity(Scalar T,
                                  Scalar pressure)
    {
        // method of Joback
        const Scalar cpVapA = 28.11;
        const Scalar cpVapB = -3.680e-6;
        const Scalar cpVapC = 1.746e-5;
        const Scalar cpVapD = -1.065e-8;
 
        return
            1/molarMass()* // conversion from [J/(mol*K)] to [J/(kg*K)]
            (cpVapA + T*
              (cpVapB/2 + T*
                (cpVapC/3 + T*
                  (cpVapD/4))));
    }
 
    static Scalar gasViscosity(Scalar temperature, Scalar pressure)
    {
        const Scalar Tc = criticalTemperature();
        const Scalar Vc = 73.4; // critical specific volume [cm^3/mol]
        const Scalar omega = 0.025; // accentric factor
        const Scalar M = molarMass() * 1e3; // molar mas [g/mol]
        const Scalar dipole = 0.0; // dipole moment [debye]
 
        using std::sqrt;
        Scalar mu_r4 = 131.3 * dipole / sqrt(Vc * Tc);
        mu_r4 *= mu_r4;
        mu_r4 *= mu_r4;
 
        Scalar Fc = 1 - 0.2756*omega + 0.059035*mu_r4;
        Scalar Tstar = 1.2593 * temperature/Tc;
 
        using std::pow;
        using std::exp;
        Scalar Omega_v =
            1.16145*pow(Tstar, -0.14874) +
            0.52487*exp(- 0.77320*Tstar) +
            2.16178*exp(- 2.43787*Tstar);
        Scalar mu = 40.785*Fc*sqrt(M*temperature)/(pow(Vc, 2./3)*Omega_v);
 
        // conversion from micro poise to Pa s
        return mu/1e6 / 10;
    }
 
    static constexpr Scalar gasThermalConductivity(Scalar temperature, Scalar pressure)
    {
        return 8.044e-5 * (temperature - 273.15) + 0.024486;
    }
};
 
} // end namespace Components
 
} // end namespace Dumux
 
#endif