diff --git a/doc/doxygen/dumux.bib b/doc/doxygen/dumux.bib index b98d485626718c079c6685e3af7e247baee802d9..ad5f39df176dba77f587472ee2ab69dfb8471530 100644 --- a/doc/doxygen/dumux.bib +++ b/doc/doxygen/dumux.bib @@ -2061,3 +2061,18 @@ author = {F. Fichot and F. Duval and N. Trégourès and C. Béchaud and M. Quint ISSN = {0065-2717}, publisher = {Elsevier} } + +@Article{Shomate1954, + author = {Shomate, C. Howard}, + title = {A Method for Evaluating and Correlating Thermodynamic Data}, + journal = {The Journal of Physical Chemistry}, + year = {1954}, + month = {Apr}, + day = {01}, + publisher = {American Chemical Society}, + volume = {58}, + number = {4}, + pages = {368-372}, + issn = {0022-3654}, + doi = {10.1021/j150514a018} +} diff --git a/dumux/material/components/ch4.hh b/dumux/material/components/ch4.hh index 7abc961d7d0e2a440cb361855dc801239ee9827a..04293ad72f484dd2dd876ae4601b2ef015d8ec7b 100644 --- a/dumux/material/components/ch4.hh +++ b/dumux/material/components/ch4.hh @@ -18,6 +18,7 @@ #include <dumux/material/components/base.hh> #include <dumux/material/components/gas.hh> +#include <dumux/material/components/shomate.hh> namespace Dumux { namespace Components { @@ -33,8 +34,11 @@ class CH4 , public Components::Gas<Scalar, CH4<Scalar> > { using IdealGas = Dumux::IdealGas<Scalar>; + using ShomateMethod = Dumux::ShomateMethod<Scalar, 3>; // three regions public: + static const ShomateMethod shomateMethod; + /*! * \brief A human readable name for methane. */ @@ -127,6 +131,7 @@ public: /*! * \brief Specific enthalpy \f$\mathrm{[J/kg]}\f$ of pure methane gas. + * Shomate Equation is used for a temperature range of 298K to 6000K. * * \param temperature temperature of component in \f$\mathrm{[K]}\f$ * \param pressure pressure of component in \f$\mathrm{[Pa]}\f$ @@ -134,33 +139,19 @@ public: static const Scalar gasEnthalpy(Scalar temperature, Scalar pressure) { - return gasHeatCapacity(temperature, pressure) * temperature; + const auto h = shomateMethod.enthalpy(temperature); // KJ/mol + return h * 1e3 / molarMass(); // J/kg } /*! - * \brief Specific isobaric heat capacity \f$\mathrm{[J/(kg*K)]}\f$ of pure - * methane gas. - * - * This is equivalent to the partial derivative of the specific - * enthalpy to the temperature. - * - * See: R. Reid, et al. (1987, pp 154, 657, 665) \cite reid1987 + * \brief Specific isobaric heat capacity \f$\mathrm{[J/(kg*K)]}\f$ of pure methane gas. + *Shomate Equation is used for a temperature range of 298K to 6000K. */ static Scalar gasHeatCapacity(Scalar T, Scalar pressure) { - // method of Joback - const Scalar cpVapA = 19.25; - const Scalar cpVapB = 0.05213; - const Scalar cpVapC = 1.197e-5; - const Scalar cpVapD = -1.132e-8; - - return - 1/molarMass()* // conversion from [J/(mol*K)] to [J/(kg*K)] - (cpVapA + T* - (cpVapB/2 + T* - (cpVapC/3 + T* - (cpVapD/4)))); + const auto cp = shomateMethod.heatCapacity(T); // J/(mol K) + return cp / molarMass(); // J/(kg K) } /*! @@ -228,8 +219,21 @@ public: } }; -} // end namespace Components +/*! + * \brief Shomate parameters for methane published by NIST \cite NIST + * https://webbook.nist.gov/cgi/cbook.cgi?ID=C74828&Units=SI&Mask=1&Type=JANAFG&Table=on#JANAFG + * First row defines the temperature ranges, further rows give the parameters (A,B,C,D,E,F,G,H) for the respective temperature ranges. + */ +template <class Scalar> +const typename CH4<Scalar>::ShomateMethod CH4<Scalar>::shomateMethod{ + /*temperature*/{298.0, 1300.0, 6000.0}, + typename CH4<Scalar>::ShomateMethod::Coefficients{{ + {-0.703029, 108.4773, -42.52157, 5.862788, 0.678565, -76.84376, 158.7163, -74.87310}, + {85.81217, 11.26467, -2.114146, 0.138190, -26.42221, -153.5327, 224.4143, -74.87310} + }} +}; +} // end namespace Components } // end namespace Dumux #endif diff --git a/dumux/material/components/h2.hh b/dumux/material/components/h2.hh index 73371debdd464533fe788e45495572be9b669130..3ed2f8830abef7502247ed862bab9ad339a43412 100644 --- a/dumux/material/components/h2.hh +++ b/dumux/material/components/h2.hh @@ -18,6 +18,7 @@ #include <dumux/material/components/base.hh> #include <dumux/material/components/gas.hh> +#include <dumux/material/components/shomate.hh> namespace Dumux { namespace Components { @@ -34,8 +35,11 @@ class H2 , public Components::Gas<Scalar, H2<Scalar> > { using IdealGas = Dumux::IdealGas<Scalar>; + using ShomateMethod = Dumux::ShomateMethod<Scalar, 3>; // three regions public: + static const ShomateMethod shomateMethod; + /*! * \brief A human readable name for the \f$H_2\f$. */ @@ -142,6 +146,7 @@ public: /*! * \brief Specific enthalpy \f$\mathrm{[J/kg]}\f$ of pure hydrogen gas. + * Shomate Equation is used for a temperature range of 298K to 6000K. * * \param temperature temperature of component in \f$\mathrm{[K]}\f$ * \param pressure pressure of component in \f$\mathrm{[Pa]}\f$ @@ -149,15 +154,15 @@ public: static const Scalar gasEnthalpy(Scalar temperature, Scalar pressure) { - return gasHeatCapacity(temperature, pressure) * temperature; + const auto h = shomateMethod.enthalpy(temperature); // KJ/mol + return h * 1e3 / molarMass(); // J/kg } /*! * \brief Specific isobaric heat capacity \f$\mathrm{[J/(kg*K)]}\f$ of pure * hydrogen gas. + * Shomate Equation is used for a temperature range of 298K to 6000K. * - * This is equivalent to the partial derivative of the specific - * enthalpy to the temperature. * \param T temperature of component in \f$\mathrm{[K]}\f$ * \param pressure pressure of component in \f$\mathrm{[Pa]}\f$ * @@ -166,18 +171,8 @@ public: static const Scalar gasHeatCapacity(Scalar T, Scalar pressure) { - // method of Joback - const Scalar cpVapA = 27.14; - const Scalar cpVapB = 9.273e-3; - const Scalar cpVapC = -1.381e-5; - const Scalar cpVapD = 7.645e-9; - - return - 1/molarMass()* // conversion from [J/(mol*K)] to [J/(kg*K)] - (cpVapA + T* - (cpVapB/2 + T* - (cpVapC/3 + T* - (cpVapD/4)))); + const auto cp = shomateMethod.heatCapacity(T); // J/(mol K) + return cp / molarMass(); // J/(kg K) } /*! @@ -220,8 +215,22 @@ public: } }; -} // end namespace Components +/*! + * \brief Shomate parameters for hydrogen published by NIST \cite NIST + * https://webbook.nist.gov/cgi/cbook.cgi?ID=C1333740&Units=SI&Mask=1&Type=JANAFG&Table=on#JANAFG + * First row defines the temperature ranges, further rows give the parameters (A,B,C,D,E,F,G,H) for the respective temperature ranges. + */ +template <class Scalar> +const typename H2<Scalar>::ShomateMethod H2<Scalar>::shomateMethod{ + /*temperature*/{298.0, 1000.0, 2500.0, 6000.0}, + typename H2<Scalar>::ShomateMethod::Coefficients{{ + {33.066178, -11.363417, 11.432816, -2.772874, -0.158558, -9.980797, 172.707974, 0.0}, + {18.563083, 12.257357, -2.859786, 0.268238, 1.97799, -1.147438, 156.288133, 0.0}, + {43.41356, -4.293079, 1.272428, -0.096876, -20.533862, -38.515158, 162.081354, 0.0} + }} +}; +} // end namespace Components } // end namespace Dumux #endif diff --git a/dumux/material/components/n2.hh b/dumux/material/components/n2.hh index def11a585731fcb1c8e42882064c8133df8106d5..f3b85bf28205148d53d0108fc8df1011ef95fc28 100644 --- a/dumux/material/components/n2.hh +++ b/dumux/material/components/n2.hh @@ -18,6 +18,7 @@ #include <dumux/material/components/base.hh> #include <dumux/material/components/gas.hh> +#include <dumux/material/components/shomate.hh> namespace Dumux { namespace Components { @@ -34,8 +35,10 @@ class N2 , public Components::Gas<Scalar, N2<Scalar> > { using IdealGas = Dumux::IdealGas<Scalar>; + using ShomateMethod = Dumux::ShomateMethod<Scalar, 3>; // 3 regions public: + static const ShomateMethod shomateMethod; /*! * \brief A human readable name for nitrogen. */ @@ -157,6 +160,7 @@ public: /*! * \brief Specific enthalpy \f$\mathrm{[J/kg]}\f$ of pure nitrogen gas. + * Shomate Equation is used for a temperature range of 100K to 6000K. * * \param temperature temperature of component in \f$\mathrm{[K]}\f$ * \param pressure pressure of component in \f$\mathrm{[Pa]}\f$ @@ -164,7 +168,8 @@ public: static const Scalar gasEnthalpy(Scalar temperature, Scalar pressure) { - return gasHeatCapacity(temperature, pressure) * temperature; + const auto h = shomateMethod.enthalpy(temperature); // KJ/mol + return h * 1e3 / molarMass(); // J/kg } /*! @@ -190,29 +195,14 @@ public: } /*! - * \brief Specific isobaric heat capacity \f$\mathrm{[J/(kg*K)]}\f$ of pure - * nitrogen gas. - * - * This is equivalent to the partial derivative of the specific - * enthalpy to the temperature. - * - * See: R. Reid, et al. (1987, pp 154, 657, 665) \cite reid1987 + * \brief Specific isobaric heat capacity \f$\mathrm{[J/(kg*K)]}\f$ of pure nitrogen gas. + * Shomate Equation is used for a temperature range of 100K to 6000K. */ static const Scalar gasHeatCapacity(Scalar T, Scalar pressure) { - // method of Joback - const Scalar cpVapA = 31.15; - const Scalar cpVapB = -0.01357; - const Scalar cpVapC = 2.680e-5; - const Scalar cpVapD = -1.168e-8; - - return - 1/molarMass()* // conversion from [J/(mol K)] to [J/(kg K)] - (cpVapA + T* - (cpVapB/2 + T* - (cpVapC/3 + T* - (cpVapD/4)))); + const auto cp = shomateMethod.heatCapacity(T); // J/(mol K) + return cp / molarMass(); // J/(kg K) } /*! @@ -272,8 +262,22 @@ public: } }; -} // end namespace Components +/*! + * \brief Shomate parameters for nitrogen published by NIST \cite NIST + * https://webbook.nist.gov/cgi/cbook.cgi?ID=C7727379&Units=SI&Mask=1&Type=JANAFG&Table=on#JANAFG + * First row defines the temperature ranges, further rows give the parameters (A,B,C,D,E,F,G,H) for the respective temperature ranges. + */ +template <class Scalar> +const typename N2<Scalar>::ShomateMethod N2<Scalar>::shomateMethod{ + /*temperature*/{100.0,500.0,2000.0,6000.0}, + typename N2<Scalar>::ShomateMethod::Coefficients{{ + {28.98641, 1.853978, -9.647459, 16.63537, 0.000117, -8.671914, 226.4168, 0.0}, + {19.50583, 19.88705, -8.598535, 1.369784, 0.527601, -4.935202, 212.39, 0.0}, + {35.51872, 1.128728, -0.196103, 0.014662, -4.55376, -18.97091, 224.981, 0.0} + }} +}; +} // end namespace Components } // end namespace Dumux #endif diff --git a/dumux/material/components/o2.hh b/dumux/material/components/o2.hh index f01c4fb0c98499db74c91b6669b09a3834a0d1be..0444f149872e1fe8e3d7e9377911e693d6d211e7 100644 --- a/dumux/material/components/o2.hh +++ b/dumux/material/components/o2.hh @@ -18,6 +18,7 @@ #include <dumux/material/components/base.hh> #include <dumux/material/components/gas.hh> +#include <dumux/material/components/shomate.hh> namespace Dumux { namespace Components { @@ -34,8 +35,11 @@ class O2 , public Components::Gas<Scalar, O2<Scalar> > { using IdealGas = Dumux::IdealGas<Scalar>; + using ShomateMethod = Dumux::ShomateMethod<Scalar, 3>; // three regions public: + static const ShomateMethod shomateMethod; + /*! * \brief A human readable name for the \f$O_2\f$. */ @@ -154,6 +158,7 @@ public: /*! * \brief Specific enthalpy \f$\mathrm{[J/kg]}\f$ of pure oxygen gas. + * Shomate Equation is used for a temperature range of 100K to 6000K. * * \param temperature temperature of component in \f$\mathrm{[K]}\f$ * \param pressure pressure of component in \f$\mathrm{[Pa]}\f$ @@ -161,15 +166,14 @@ public: static Scalar gasEnthalpy(Scalar temperature, Scalar pressure) { - return gasHeatCapacity(temperature, pressure) * temperature; + const auto h = shomateMethod.enthalpy(temperature); // KJ/mol + return h * 1e3 / molarMass(); // J/kg } /*! - * \brief Specific isobaric heat capacity \f$\mathrm{[J/(kg*K)]}\f$ of pure - * oxygen gas. + * \brief Specific isobaric heat capacity \f$\mathrm{[J/(kg*K)]}\f$ of pure oxygen gas. + * Shomate Equation is used for a temperature range of 100K to 6000K. * - * This is equivalent to the partial derivative of the specific - * enthalpy to the temperature. * \param T absolute temperature in \f$\mathrm{[K]}\f$ * \param pressure of the phase in \f$\mathrm{[Pa]}\f$ * @@ -178,18 +182,8 @@ public: 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)))); + const auto cp = shomateMethod.heatCapacity(T); // J/(mol K) + return cp / molarMass(); // J/(kg K) } /*! @@ -247,8 +241,22 @@ public: } }; -} // end namespace Components +/*! + * \brief Shomate parameters for oxygen published by NIST \cite NIST + * https://webbook.nist.gov/cgi/cbook.cgi?ID=C7782447&Units=SI&Mask=1&Type=JANAFG&Table=on#JANAFG + * First row defines the temperature ranges, further rows give the parameters (A,B,C,D,E,F,G,H) for the respective temperature ranges. + */ +template <class Scalar> +const typename O2<Scalar>::ShomateMethod O2<Scalar>::shomateMethod{ + /*temperature*/{100.0, 700.0, 2000.0, 6000.0}, + typename O2<Scalar>::ShomateMethod::Coefficients{{ + {31.32234, -20.23531, 57.86644, -36.50624, -0.007374, -8.903471, 246.7945, 0.0}, + {30.03235, 8.772972, -3.988133, 0.788313, -0.741599, -11.32468, 236.1663, 0.0}, + {20.91111, 10.72071, -2.020498, 0.146449, 9.245722, 5.337651, 237.6185, 0.0} + }} +}; +} // end namespace Components } // end namespace Dumux #endif diff --git a/dumux/material/components/shomate.hh b/dumux/material/components/shomate.hh new file mode 100644 index 0000000000000000000000000000000000000000..fe205d3acfbea2e809d2cb95e7d316f2d0af0379 --- /dev/null +++ b/dumux/material/components/shomate.hh @@ -0,0 +1,147 @@ +// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- +// vi: set et ts=4 sw=4 sts=4: +// +// SPDX-FileCopyrightInfo: Copyright © DuMux Project contributors, see AUTHORS.md in root folder +// SPDX-License-Identifier: GPL-3.0-or-later +// +/*! + * \file + * \ingroup Components + * \brief Shomate equations for enthalpy and heat capacity. + * + * The Shomate equations were inroduced in \cite Shomate1954. + * They offer analytical equations for computing the heat capacity as well as enthalpy. + * Both equations use a set of component-specific parameters \f$A,B,C,D,E,F,G,H\f$. + * For the heat capacity \f$C_p^0\f$, one obtains + \f[ + C_p^0 = A + Bt + Ct^2 + Dt^3 + E/t^2, + \f] + * while for the enthalpy with a reference state at \f$T=298.15\text{K}\f$, one uses + \f[ + H^0-H_{298.15}^0 = At + \frac{Bt^2}{2} + \frac{Ct^3}{3} + \frac{Dt^4}{4} -\frac{E}{t} + F - H + \f] + *where: + * * \f$ C_p \f$ is the heat capacity in J/(mol*K), + * * \f$ H^0 \f$ represents the standard enthalpy in kJ/mol, + * * \f$ t \f$ is the temperature in K divided by 1000. + * + */ +#ifndef DUMUX_MATERIAL_COMPONENTS_SHOMATE_HH +#define DUMUX_MATERIAL_COMPONENTS_SHOMATE_HH + +#include <algorithm> +#include <array> +#include <iostream> +#include <type_traits> +#include <vector> + +#include <dune/common/exceptions.hh> + +namespace Dumux { + +/*! + * \brief The Shomate method to compute enthalpy and heat capacity + * \tparam Scalar the type of the scalar values + * \tparam intervals the static number of intervals for the temperature range, each interval has its own set of coefficients. + * If -1 the number of intervals is dynamic. + */ +template<class Scalar, int intervals = -1> +class ShomateMethod +{ + static_assert(intervals == -1 || intervals > 0, "Number of intervals must be -1 (dynamic) or greater than 0 (static)."); + +public: + using CoefficientSet = struct { Scalar A, B, C, D, E, F, G, H; }; + using Temperatures = std::conditional_t<intervals == -1, std::vector<Scalar>, std::array<Scalar, std::size_t(intervals+1)>>; + using Coefficients = std::conditional_t<intervals == -1, std::vector<CoefficientSet>, std::array<CoefficientSet, std::size_t(intervals)>>; + + /*! + * \brief Constructor for Shomate method class + * \param temperatures lower bound of the temperature intervals plus the upper bound of the last interval + * \param coeffs contains the sets of coefficients for each temperature interval bounded by the entries of temperatures + */ + constexpr ShomateMethod(const Temperatures& temperatures, const Coefficients& coeffs) + : temperatures_(temperatures) + , coeffs_(coeffs) + { + checkInput_(); + } + + /*! + * \brief Return enthalpy in kJ/mol + * \param temperature in K + * \return Scalar + */ + Scalar enthalpy(const Scalar temperature) const + { + const auto& p = paramsAtTemperature_(temperature); + const Scalar t = temperature/1000.0; + const Scalar standardEnthalpyDiff = p.A*t + p.B*t*t/2.0 + p.C*t*t*t/3.0 + p.D*t*t*t*t/4.0 - p.E/t + p.F - p.H; + return standardEnthalpyDiff; + } + + /*! + * \brief Return heat capacity in J/(mol*K) + * \param temperature in K + * \return Scalar + */ + Scalar heatCapacity(const Scalar temperature) const + { + const auto& p = paramsAtTemperature_(temperature); + const Scalar t = temperature/1000.0; + const Scalar heatCapacity = p.A + p.B*t + p.C*t*t + p.D*t*t*t + p.E/(t*t); + return heatCapacity; + } + +private: + const CoefficientSet& paramsAtTemperature_(const Scalar T) const + { + // check if T is smaller or higher than allowed min/max T + if (T < temperatures_.front() || T > temperatures_.back()) + { + if (!warningPrinted_) + { + std::cout << "Temperature "<< T << " [K] is out of range. Enthalpy values are extrapolated." << std::endl; + warningPrinted_ = true; + } + } + + // find the interval for the given temperature + const auto index = std::min<std::size_t>( + coeffs_.size()-1, + std::distance( + temperatures_.begin(), + std::lower_bound(temperatures_.begin(), temperatures_.end(), T) + ) + ); + + return coeffs_[index]; + } + + void checkInput_() const + { + if constexpr (intervals == -1) + { + if (temperatures_.size() < 2) + DUNE_THROW(Dune::InvalidStateException, "Temperature range must have at least two entries."); + + for (size_t i = 0; i < temperatures_.size()-1; i++) + if (temperatures_[i] >= temperatures_[i+1]) + DUNE_THROW(Dune::InvalidStateException, "Temperature range must be strictly increasing."); + + if (temperatures_.size()-1 != coeffs_.size()) + DUNE_THROW(Dune::InvalidStateException, "If temperature vector is size n+1, there must be n coefficient sets."); + } + } + + Temperatures temperatures_; + Coefficients coeffs_; + static bool warningPrinted_; +}; + +template<class Scalar, int intervals> +bool ShomateMethod<Scalar, intervals>::warningPrinted_ = false; + +} // namespace Dumux + +#endif diff --git a/dumux/material/components/simpleco2.hh b/dumux/material/components/simpleco2.hh index 50cc3d707d8d65eac7665f98df20eaa62ed0b4d3..96e857a5c6fb251b541966222183d84926089e22 100644 --- a/dumux/material/components/simpleco2.hh +++ b/dumux/material/components/simpleco2.hh @@ -22,6 +22,7 @@ #include <dumux/material/components/base.hh> #include <dumux/material/components/gas.hh> +#include <dumux/material/components/shomate.hh> namespace Dumux::Components { @@ -37,8 +38,11 @@ class SimpleCO2 , public Components::Gas<Scalar, SimpleCO2<Scalar> > { using IdealGas = Dumux::IdealGas<Scalar>; + using ShomateMethod = Dumux::ShomateMethod<Scalar, 2>; // two regions public: + static const ShomateMethod shomateMethod; + /*! * \brief A human readable name for the CO2. */ @@ -78,24 +82,16 @@ public: /*! * \brief Specific enthalpy of CO2 \f$\mathrm{[J/kg]}\f$. - * source: Shomate Equation for a temperature range of 298. to 1200K. - * with components published by NIST \cite NIST - * https://webbook.nist.gov/cgi/cbook.cgi?ID=C124389&Mask=1&Type=JANAFG&Table=on + * Shomate Equation is used for a temperature range of 298K to 6000K. + * * \param temperature temperature of component in \f$\mathrm{[K]}\f$ * \param pressure pressure of component in \f$\mathrm{[Pa]}\f$ */ static const Scalar gasEnthalpy(Scalar temperature, Scalar pressure) { - const Scalar t = temperature/1000; - constexpr double a = 24.99735; - constexpr double b = 55.18696; - constexpr double c = -33.69137; - constexpr double d = 7.948387; - constexpr double e = -0.136638; - constexpr double f = -403.6075; - constexpr double h = -393.5224; - return (a*t + b*t*t/2 + c*t*t*t/3 + d*t*t*t*t/4 - e/t +f -h)*1000/molarMass(); //conversion from kJ/mol to J/kg + const auto h = shomateMethod.enthalpy(temperature); // KJ/mol + return h * 1e3 / molarMass(); // J/kg } /*! @@ -236,25 +232,34 @@ public: /*! * \brief Specific isobaric heat capacity of CO2 \f$\mathrm{[J/(kg*K)]}\f$. - * source: Shomate Equation for a temperature range of 298. to 1200K. - * with components published by NIST \cite NIST - * https://webbook.nist.gov/cgi/cbook.cgi?ID=C124389&Mask=1&Type=JANAFG&Table=on + * Shomate Equation is used for a temperature range of 298K to 6000K. + * * \param temperature temperature of component in \f$\mathrm{[K]}\f$ * \param pressure pressure of component in \f$\mathrm{[Pa]}\f$ */ static Scalar gasHeatCapacity(Scalar temperature, Scalar pressure) { - const Scalar t = temperature/1000; - constexpr double a = 24.99735; - constexpr double b = 55.18696; - constexpr double c = -33.69137; - constexpr double d = 7.948387; - constexpr double e = -0.136638; - return (a + b*t + c*t*t + d*t*t*t + e/(t*t))/molarMass(); + const auto cp = shomateMethod.heatCapacity(temperature); // J/(mol K) + return cp / molarMass(); // J/(kg K) } }; +/*! + * \brief Shomate parameters for carbon dioxide published by NIST \cite NIST + * https://webbook.nist.gov/cgi/cbook.cgi?ID=C124389&Units=SI&Mask=1&Type=JANAFG&Table=on#JANAFG + * First row defines the temperature ranges, further rows give the parameters (A,B,C,D,E,F,G,H) for the respective temperature ranges. + */ +template <class Scalar> +const typename SimpleCO2<Scalar>::ShomateMethod SimpleCO2<Scalar>::shomateMethod{ + /*temperature*/{298.0, 1200.0, 6000.0}, + typename SimpleCO2<Scalar>::ShomateMethod::Coefficients{{ + {24.99735, 55.18696, -33.69137, 7.948387, -0.136638, -403.6075, 228.2431, -393.5224}, + {58.16639, 2.720074, -0.492289, 0.038844, -6.447293, -425.9186, 263.6125, -393.5224} + }} +}; + + } // end namespace Dumux::Components #endif diff --git a/test/references/test_2p2cni_waterair_box-reference.vtu b/test/references/test_2p2cni_waterair_box-reference.vtu index 5f806f65d3b386377aec9e8b0118701e8146c085..5bd0e70b5c80572cb2a910e2a5483911551b2f90 100644 --- 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8.62324e-19 7.72328e-19 6.72397e-19 5.69271e-19 4.53884e-19 + 3.25132e-19 1.92572e-19 7.08065e-20 3.42312e-21 9.33238e-23 1.82256e-24 2.81081e-26 3.6031e-28 3.95898e-30 3.78863e-32 2.65613e-34 8.09889e-37 + 0 0 0 0 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 -0 -0 0 0 + 0 0 0 0 0 0 0 0 0 0 0 0 + 1.03693e-37 1.22903e-35 1.03962e-33 4.78994e-32 1.81659e-31 3.67319e-31 4.72178e-31 4.4522e-31 1.45478e-30 1.07827e-27 1.40658e-24 3.04508e-21 + 9.67892e-21 8.55312e-21 7.3221e-21 6.08147e-21 4.7453e-21 3.31916e-21 1.91556e-21 6.9414e-22 3.40425e-23 9.44435e-25 1.88321e-26 2.97764e-28 + 3.93241e-30 4.47627e-32 4.46305e-34 3.22022e-36 0 0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 0 0 0 -0 -0 + -0 0 -0 -0 -0 -0 0 0 0 0 0 0 + 0 0 0 0 0 0 0 7.80895e-37 3.28958e-35 1.26179e-34 2.54702e-34 3.20446e-34 + 3.06666e-34 1.48293e-32 1.35914e-29 1.61645e-26 2.83872e-23 1.02664e-22 8.95969e-23 7.5511e-23 6.16333e-23 4.71765e-23 3.2319e-23 1.82438e-23 + 6.53359e-24 3.24729e-25 9.16313e-27 1.86526e-28 3.02354e-30 4.11317e-32 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