| Line | Branch | Exec | Source |
|---|---|---|---|
| 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 Various relations for molecular diffusion coefficients. | ||
| 11 | */ | ||
| 12 | #ifndef DUMUX_FULLERMETHOD_HH | ||
| 13 | #define DUMUX_FULLERMETHOD_HH | ||
| 14 | |||
| 15 | #include <dumux/common/math.hh> | ||
| 16 | |||
| 17 | namespace Dumux { | ||
| 18 | namespace BinaryCoeff { | ||
| 19 | /*! | ||
| 20 | * \ingroup Binarycoefficients | ||
| 21 | * \brief Estimate binary diffusion coefficients \f$\mathrm{[m^2/s]}\f$ in gases according to | ||
| 22 | * the method by Fuller. | ||
| 23 | * | ||
| 24 | * \param M molar masses \f$\mathrm{[g/mol]}\f$ | ||
| 25 | * \param SigmaNu atomic diffusion volume | ||
| 26 | * \param temperature The temperature \f$\mathrm{[K]}\f$ | ||
| 27 | * \param pressure phase pressure \f$\mathrm{[Pa]}\f$ | ||
| 28 | * | ||
| 29 | * This function estimates the diffusion coefficients in binary gases | ||
| 30 | * using to the method proposed by Fuller. This method and is only | ||
| 31 | * valid at "low" pressures. | ||
| 32 | * | ||
| 33 | * See: R. Reid, et al. (1987, pp. 587-588) \cite reid1987 | ||
| 34 | */ | ||
| 35 | template <class Scalar> | ||
| 36 | 22154892 | inline Scalar fullerMethod(const Scalar *M, // molar masses [g/mol] | |
| 37 | const Scalar *SigmaNu, // atomic diffusion volume | ||
| 38 | const Scalar temperature, // [K] | ||
| 39 | const Scalar pressure) // [Pa] | ||
| 40 | { | ||
| 41 | // "effective" molar mass in [g/m^3] | ||
| 42 |
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22154892 | Scalar Mab = harmonicMean(M[0], M[1]); |
| 43 | |||
| 44 | // Fuller's method | ||
| 45 | using std::pow; | ||
| 46 | using std::sqrt; | ||
| 47 | 22154892 | Scalar tmp = pow(SigmaNu[0], 1./3) + pow(SigmaNu[1], 1./3); | |
| 48 | 22154892 | return 1e-4 * (143.0*pow(temperature, 1.75))/(pressure*sqrt(Mab)*tmp*tmp); | |
| 49 | } | ||
| 50 | |||
| 51 | } // end namespace BinaryCoeff | ||
| 52 | } // end namespace Dumux | ||
| 53 | |||
| 54 | #endif | ||
| 55 |