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|---|---|---|---|
| 1 | // -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- | ||
| 2 | // vi: set et ts=4 sw=4 sts=4: | ||
| 3 | // | ||
| 4 | // SPDX-FileCopyrightInfo: Copyright © DuMux Project contributors, see AUTHORS.md in root folder | ||
| 5 | // SPDX-License-Identifier: GPL-3.0-or-later | ||
| 6 | // | ||
| 7 | /*! | ||
| 8 | * \file | ||
| 9 | * \ingroup Binarycoefficients | ||
| 10 | * \brief Binary coefficients for water and air. | ||
| 11 | */ | ||
| 12 | #ifndef DUMUX_BINARY_COEFF_H2O_AIR_HH | ||
| 13 | #define DUMUX_BINARY_COEFF_H2O_AIR_HH | ||
| 14 | |||
| 15 | #include <cmath> | ||
| 16 | |||
| 17 | namespace Dumux { | ||
| 18 | namespace BinaryCoeff { | ||
| 19 | |||
| 20 | /*! | ||
| 21 | * \ingroup Binarycoefficients | ||
| 22 | * \brief Binary coefficients for water and air. | ||
| 23 | */ | ||
| 24 | class H2O_Air | ||
| 25 | { | ||
| 26 | public: | ||
| 27 | /*! | ||
| 28 | * \brief Henry coefficient \f$\mathrm{[Pa]}\f$ for air in liquid water. | ||
| 29 | * \param temperature the temperature \f$\mathrm{[K]}\f$ | ||
| 30 | * | ||
| 31 | * Henry coefficient See: | ||
| 32 | * Stefan Finsterle (1993, page 33 Formula (2.9)) \cite finsterle1993 <BR> | ||
| 33 | * (fitted to data from Tchobanoglous & Schroeder, 1985 \cite tchobanoglous1985 ) | ||
| 34 | */ | ||
| 35 | template <class Scalar> | ||
| 36 | static Scalar henry(Scalar temperature) | ||
| 37 | { | ||
| 38 | using std::exp; | ||
| 39 | 12725330 | Scalar r = (0.8942+1.47*exp(-0.04394*(temperature-273.15)))*1.E-10; | |
| 40 | |||
| 41 | 12725330 | return 1./r; | |
| 42 | } | ||
| 43 | |||
| 44 | /*! | ||
| 45 | * \brief Binary diffusion coefficient \f$\mathrm{[m^2/s]}\f$ for molecular water and air | ||
| 46 | * | ||
| 47 | * \param temperature the temperature \f$\mathrm{[K]}\f$ | ||
| 48 | * \param pressure the phase pressure \f$\mathrm{[Pa]}\f$ | ||
| 49 | * Vargaftik: Tables on the thermophysical properties of liquids and gases. | ||
| 50 | * John Wiley & Sons, New York, 1975. \cite vargaftik1975 <BR> | ||
| 51 | * Walker, Sabey, Hampton: Studies of heat transfer and water migration in soils. | ||
| 52 | * Dep. of Agricultural and Chemical Engineering, Colorado State University, | ||
| 53 | * Fort Collins, 1981. \cite walker1981 | ||
| 54 | */ | ||
| 55 | template <class Scalar> | ||
| 56 | static Scalar gasDiffCoeff(Scalar temperature, Scalar pressure) | ||
| 57 | { | ||
| 58 | 48161700 | const Scalar Theta=1.8; | |
| 59 | 48161700 | const Scalar Daw=2.13e-5; /* reference value */ | |
| 60 | 48161700 | const Scalar pg0=1.e5; /* reference pressure */ | |
| 61 | 48161700 | const Scalar T0=273.15; /* reference temperature */ | |
| 62 | Scalar Dgaw; | ||
| 63 | |||
| 64 | using std::pow; | ||
| 65 |
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48161700 | Dgaw=Daw*(pg0/pressure)*pow((temperature/T0),Theta); |
| 66 | |||
| 67 | return Dgaw; | ||
| 68 | } | ||
| 69 | |||
| 70 | /*! | ||
| 71 | * Lacking better data on water-air diffusion in liquids, we use at the | ||
| 72 | * moment the diffusion coefficient of the air's main component nitrogen!! | ||
| 73 | * \brief Diffusion coefficient \f$\mathrm{[m^2/s]}\f$ for molecular nitrogen in liquid water. | ||
| 74 | * | ||
| 75 | * \param temperature the temperature \f$\mathrm{[K]}\f$ | ||
| 76 | * \param pressure the phase pressure \f$\mathrm{[Pa]}\f$ | ||
| 77 | * | ||
| 78 | * The empirical equations for estimating the diffusion coefficient in | ||
| 79 | * infinite solution which are presented in Reid, 1987 all show a | ||
| 80 | * linear dependency on temperature. We thus simply scale the | ||
| 81 | * experimentally obtained diffusion coefficient of Ferrell and | ||
| 82 | * Himmelblau by the temperature. | ||
| 83 | * | ||
| 84 | * See: | ||
| 85 | * R. Reid et al. (1987, pp. 599) \cite reid1987 <BR> | ||
| 86 | * R. Ferrell, D. Himmelblau (1967, pp. 111-115) \cite ferrell1967 | ||
| 87 | */ | ||
| 88 | template <class Scalar> | ||
| 89 | ✗ | static Scalar liquidDiffCoeff(Scalar temperature, Scalar pressure) | |
| 90 | { | ||
| 91 | 31981952 | const Scalar Texp = 273.15 + 25; // [K] | |
| 92 |
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31981952 | const Scalar Dexp = 2.01e-9; // [m^2/s] |
| 93 |
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31981951 | return Dexp * temperature/Texp; |
| 94 | } | ||
| 95 | }; | ||
| 96 | |||
| 97 | } // end namespace BinaryCoeff | ||
| 98 | } // end namespace Dumux | ||
| 99 | |||
| 100 | #endif | ||
| 101 |