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// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- |
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// vi: set et ts=4 sw=4 sts=4: |
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// |
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// SPDX-FileCopyrightInfo: Copyright © DuMux Project contributors, see AUTHORS.md in root folder |
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// SPDX-License-Identifier: GPL-3.0-or-later |
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// |
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/*! |
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* \file |
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* \ingroup Binarycoefficients |
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* \brief Binary coefficients for water and methane. |
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*/ |
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#ifndef DUMUX_BINARY_COEFF_H2O_CH4_HH |
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#define DUMUX_BINARY_COEFF_H2O_CH4_HH |
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#include <dumux/material/binarycoefficients/henryiapws.hh> |
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#include <dumux/material/binarycoefficients/fullermethod.hh> |
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#include <dumux/material/components/ch4.hh> |
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#include <dumux/material/components/h2o.hh> |
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namespace Dumux { |
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namespace BinaryCoeff { |
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/*! |
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* \ingroup Binarycoefficients |
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* \brief Binary coefficients for water and methane. |
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*/ |
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class H2O_CH4 |
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{ |
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public: |
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/*! |
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* \brief Henry coefficient \f$[N/m^2]\f$ for molecular methane in liquid water. |
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* |
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* See: |
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* |
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* IAPWS: "Guideline on the Henry's Constant and Vapor-Liquid |
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* Distribution Constant for Gases in H2O and D2O at High |
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* Temperatures" |
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* http://www.iapws.org/relguide/HenGuide.pdf |
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*/ |
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template <class Scalar> |
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static Scalar henry(Scalar temperature) |
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{ |
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const Scalar E = 2215.6977; |
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const Scalar F = -0.1089; |
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const Scalar G = -6.6240; |
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const Scalar H = 4.6789; |
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return henryIAPWS(E, F, G, H, temperature); |
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} |
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/*! |
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* \brief Binary diffusion coefficient \f$\mathrm{[m^2/s]}\f$ for molecular water in methane. |
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* |
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* \param temperature the temperature \f$\mathrm{[K]}\f$ |
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* \param pressure the phase pressure \f$\mathrm{[Pa]}\f$ |
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*/ |
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template <class Scalar> |
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static Scalar gasDiffCoeff(Scalar temperature, Scalar pressure) |
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{ |
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// DUNE_THROW(Dune::NotImplemented, "diffusion coefficient for gasous water and methane"); |
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typedef Dumux::Components::H2O<Scalar> H2O; |
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typedef Dumux::Components::CH4<Scalar> CH4; |
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// atomic diffusion volumes |
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// Vch4 = sum(ni*Vi) = 15.9 + 4*2.31 = 25.14 (Tang et al., 2015)--> method, (Poling et al., 2001, p.11.11)--> values |
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const Scalar SigmaNu[2] = { 13.1 /* H2O */, 25.14 /* CH4 */ }; |
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// molar masses [g/mol] |
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const Scalar M[2] = { H2O::molarMass()*Scalar(1e3), CH4::molarMass()*Scalar(1e3) }; |
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return fullerMethod(M, SigmaNu, temperature, pressure); |
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} |
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/*! |
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* \brief Diffusion coefficient \f$\mathrm{[m^2/s]}\f$ for molecular methane in liquid water. |
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* \param temperature the temperature \f$\mathrm{[K]}\f$ |
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* \param pressure the phase pressure \f$\mathrm{[Pa]}\f$ |
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* |
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* The empirical equations for estimating the diffusion coefficient in |
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* infinite solution which are presented in Reid, 1987 \cite reid1987 all show a |
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* linear dependency on temperature. We thus simply scale the |
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* experimentally obtained diffusion coefficient of Ferrell and |
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* Himmelblau by the temperature.<br> |
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* This function use an interpolation of the data by \cite witherspoon1965 |
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* http://dx.doi.org/10.1021/j100895a017 |
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*/ |
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template <class Scalar> |
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static Scalar liquidDiffCoeff(Scalar temperature, Scalar pressure) |
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{ |
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return 2.93856e-11 * temperature - 6.89402e-09; |
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} |
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}; |
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} // end namespace BinaryCoeff |
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} // end namespace Dumux |
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#endif |
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