A three-phase fluid system featuring gas, NAPL and water as phases and distilled water \((\mathrm{H_2O})\) and air (Pseudo component composed of \(\mathrm{79\%\;N_2}\), \(\mathrm{20\%\;O_2}\) and Mesitylene \((\mathrm{C_6H_3(CH_3)_3})\) as components. More...
#include <dumux/material/fluidsystems/h2oairmesitylene.hh>
It assumes all phases to be ideal mixtures.
Public Types | |
using | NAPL = Components::Mesitylene< Scalar > |
using | Air = Dumux::Components::Air< Scalar > |
using | H2O = H2OType |
using | Scalar = Scalar |
export the scalar type More... | |
using | ParameterCache = NullParameterCache |
The type of parameter cache objects. More... | |
Static Public Member Functions | |
static void | init () |
Initialize the fluid system's static parameters generically. More... | |
static void | init (Scalar tempMin, Scalar tempMax, unsigned nTemp, Scalar pressMin, Scalar pressMax, unsigned nPress) |
Initialize the fluid system's static parameters using problem specific temperature and pressure ranges. More... | |
static constexpr bool | isMiscible () |
Returns whether the fluids are miscible. More... | |
static constexpr bool | isGas (int phaseIdx) |
Return whether a phase is gaseous. More... | |
static bool | isIdealGas (int phaseIdx) |
Returns true if and only if a fluid phase is assumed to be an ideal gas. More... | |
static bool | isIdealMixture (int phaseIdx) |
Returns true if and only if a fluid phase is assumed to be an ideal mixture. More... | |
static constexpr bool | isCompressible (int phaseIdx) |
Returns true if and only if a fluid phase is assumed to be compressible. More... | |
static std::string | phaseName (int phaseIdx) |
Return the human readable name of a phase (used in indices) More... | |
static std::string | componentName (int compIdx) |
Return the human readable name of a component (used in indices) More... | |
static Scalar | molarMass (int compIdx) |
Return the molar mass of a component in \(\mathrm{[kg/mol]}\). More... | |
template<class FluidState > | |
static Scalar | density (const FluidState &fluidState, int phaseIdx) |
Given a phase's composition, temperature, pressure, and the partial pressures of all components, return its density \(\mathrm{[kg/m^3]}\). More... | |
template<class FluidState > | |
static Scalar | molarDensity (const FluidState &fluidState, int phaseIdx) |
Calculate the molar density \(\mathrm{[mol/m^3]}\) of a fluid phase. More... | |
template<class FluidState > | |
static Scalar | viscosity (const FluidState &fluidState, int phaseIdx) |
Return the viscosity of a phase \(\mathrm{[Pa s]}\). More... | |
template<class FluidState > | |
static Scalar | diffusionCoefficient (const FluidState &fluidState, int phaseIdx, int compIdx) |
Given all mole fractions, return the diffusion coefficient in \(\mathrm{[m^2/s]}\) of a component in a phase. More... | |
template<class FluidState > | |
static Scalar | binaryDiffusionCoefficient (const FluidState &fluidState, int phaseIdx, int compIIdx, int compJIdx) |
Given a phase's composition, temperature and pressure, return the binary diffusion coefficient \(\mathrm{[m^2/s]}\) for components \(\mathrm{i}\) and \(\mathrm{j}\) in this phase. More... | |
template<class FluidState > | |
static Scalar | fugacityCoefficient (const FluidState &fluidState, int phaseIdx, int compIdx) |
Returns the fugacity coefficient \(\mathrm{[-]}\) of a component in a phase. More... | |
template<class FluidState > | |
static Scalar | kelvinVaporPressure (const FluidState &fluidState, const int phaseIdx, const int compIdx) |
template<class FluidState > | |
static Scalar | enthalpy (const FluidState &fluidState, int phaseIdx) |
Given all mole fractions in a phase, return the specific phase enthalpy \(\mathrm{[J/kg]}\). More... | |
template<class FluidState > | |
static Scalar | componentEnthalpy (const FluidState &fluidState, int phaseIdx, int componentIdx) |
Returns the specific enthalpy \(\mathrm{[J/kg]}\) of a component in a specific phase. More... | |
template<class FluidState > | |
static Scalar | heatCapacity (const FluidState &fluidState, int phaseIdx) |
Specific isobaric heat capacity \(c_{p,\alpha}\) of a fluid phase \(\mathrm{[J/(kg*K)]}\). More... | |
template<class FluidState > | |
static Scalar | thermalConductivity (const FluidState &fluidState, int phaseIdx) |
Thermal conductivity \(\lambda_\alpha \) of a fluid phase \(\mathrm{[W/(m K)]}\). More... | |
static constexpr bool | isTracerFluidSystem () |
Some properties of the fluid system. More... | |
static constexpr int | getMainComponent (int phaseIdx) |
Get the main component of a given phase if possible. More... | |
static constexpr bool | viscosityIsConstant (int phaseIdx) |
Returns true if and only if a fluid phase is assumed to have a constant viscosity. More... | |
static Scalar | density (const FluidState &fluidState, const ParameterCache ¶mCache, int phaseIdx) |
Calculate the density \(\mathrm{[kg/m^3]}\) of a fluid phase. More... | |
static Scalar | molarDensity (const FluidState &fluidState, const ParameterCache ¶mCache, int phaseIdx) |
Calculate the molar density \(\mathrm{[mol/m^3]}\) of a fluid phase. More... | |
static Scalar | fugacityCoefficient (const FluidState &fluidState, const ParameterCache ¶mCache, int phaseIdx, int compIdx) |
Calculate the fugacity coefficient \(\mathrm{[Pa]}\) of an individual component in a fluid phase. More... | |
static Scalar | viscosity (const FluidState &fluidState, const ParameterCache ¶mCache, int phaseIdx) |
Calculate the dynamic viscosity of a fluid phase \(\mathrm{[Pa*s]}\). More... | |
static Scalar | diffusionCoefficient (const FluidState &fluidState, const ParameterCache ¶mCache, int phaseIdx, int compIdx) |
Calculate the binary molecular diffusion coefficient for a component in a fluid phase \(\mathrm{[mol^2 * s / (kg*m^3)]}\). More... | |
static Scalar | binaryDiffusionCoefficient (const FluidState &fluidState, const ParameterCache ¶mCache, int phaseIdx, int compIIdx, int compJIdx) |
Given a phase's composition, temperature and pressure, return the binary diffusion coefficient \(\mathrm{[m^2/s]}\) for components \(\mathrm{i}\) and \(\mathrm{j}\) in this phase. More... | |
static Scalar | enthalpy (const FluidState &fluidState, const ParameterCache ¶mCache, int phaseIdx) |
Given a phase's composition, temperature, pressure and density, calculate its specific enthalpy \(\mathrm{[J/kg]}\). More... | |
static Scalar | thermalConductivity (const FluidState &fluidState, const ParameterCache ¶mCache, int phaseIdx) |
Thermal conductivity \(\lambda_\alpha \) of a fluid phase \(\mathrm{[W/(m K)]}\). More... | |
static Scalar | heatCapacity (const FluidState &fluidState, const ParameterCache ¶mCache, int phaseIdx) |
Specific isobaric heat capacity \(c_{p,\alpha}\) of a fluid phase \(\mathrm{[J/(kg*K)]}\). More... | |
Static Public Attributes | |
static const int | numPhases = 3 |
static const int | numComponents = 3 |
static const int | wPhaseIdx = 0 |
static const int | nPhaseIdx = 1 |
static const int | gPhaseIdx = 2 |
static const int | H2OIdx = 0 |
static const int | NAPLIdx = 1 |
static const int | AirIdx = 2 |
static const int | wCompIdx = H2OIdx |
static const int | nCompIdx = NAPLIdx |
static const int | gCompIdx = AirIdx |
using Dumux::FluidSystems::H2OAirMesitylene< Scalar, H2OType >::Air = Dumux::Components::Air<Scalar> |
using Dumux::FluidSystems::H2OAirMesitylene< Scalar, H2OType >::H2O = H2OType |
using Dumux::FluidSystems::H2OAirMesitylene< Scalar, H2OType >::NAPL = Components::Mesitylene<Scalar> |
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fluidState | The fluid state |
paramCache | mutable parameters |
phaseIdx | Index of the fluid phase |
compIIdx | Index of the component i |
compJIdx | Index of the component j |
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inlinestatic |
fluidState | The fluid state |
phaseIdx | Index of the fluid phase |
compIIdx | Index of the component i |
compJIdx | Index of the component j |
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inlinestatic |
fluidState | The fluid state |
phaseIdx | The index of the phase |
componentIdx | The index of the component |
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fluidState | The fluid state |
paramCache | mutable parameters |
phaseIdx | Index of the fluid phase |
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We apply Eq. (7) in Class et al. (2002a) [19]
for the water density.
fluidState | The fluid state |
phaseIdx | The index of the phase |
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inlinestaticinherited |
Molecular diffusion of a component \(\mathrm{\kappa}\) is caused by a gradient of the chemical potential and follows the law
\[ J = - D \nabla \mu_\kappa \]
where \(\mathrm{\mu_\kappa}\) is the component's chemical potential, \(\mathrm{D}\) is the diffusion coefficient and \(\mathrm{J}\) is the diffusive flux. \(\mathrm{\mu_\kappa}\) is connected to the component's fugacity \(\mathrm{f_\kappa}\) by the relation
\[ \mu_\kappa = R T_\alpha \mathrm{ln} \frac{f_\kappa}{p_\alpha} \]
where \(\mathrm{p_\alpha}\) and \(\mathrm{T_\alpha}\) are the fluid phase' pressure and temperature.
fluidState | The fluid state |
paramCache | mutable parameters |
phaseIdx | Index of the fluid phase |
compIdx | Index of the component |
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inlinestatic |
fluidState | The fluid state |
phaseIdx | The index of the phase |
compIdx | The index of the component |
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inlinestaticinherited |
fluidState | The fluid state |
paramCache | mutable parameters |
phaseIdx | Index of the fluid phase |
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fluidState | The fluid state |
phaseIdx | The index of the phase |
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The fugacity coefficient \(\mathrm{\phi^\kappa_\alpha}\) is connected to the fugacity \(\mathrm{f^\kappa_\alpha}\) and the component's mole fraction \(\mathrm{x^\kappa_\alpha}\) by means of the relation
\[ f^\kappa_\alpha = \phi^\kappa_\alpha\;x^\kappa_\alpha\;p_\alpha \]
fluidState | The fluid state |
paramCache | mutable parameters |
phaseIdx | Index of the fluid phase |
compIdx | Index of the component |
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inlinestatic |
In this case, things are actually pretty simple. We have an ideal solution. Thus, the fugacity coefficient is 1 in the gas phase (fugacity equals the partial pressure of the component in the gas phase) respectively in the liquid phases it is the Henry coefficients divided by pressure.
fluidState | The fluid state |
phaseIdx | The index of the phase |
compIdx | The index of the component |
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inlinestaticconstexprinherited |
phaseIdx | The index of the fluid phase to consider |
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Given a fluid state, an up-to-date parameter cache and a phase index, this method computes the isobaric heat capacity \(c_{p,\alpha}\) of the fluid phase. The isobaric heat capacity is defined as the partial derivative of the specific enthalpy \(h_\alpha\) to the fluid pressure \(p_\alpha\):
\( c_{p,\alpha} = \frac{\partial h_\alpha}{\partial p_\alpha} \)
fluidState | represents all relevant thermodynamic quantities of a fluid system |
paramCache | mutable parameters |
phaseIdx | Index of the fluid phase |
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fluidState | represents all relevant thermodynamic quantities of a fluid system |
phaseIdx | Index of the fluid phase |
Given a fluid state, an up-to-date parameter cache and a phase index, this method computes the isobaric heat capacity \(c_{p,\alpha}\) of the fluid phase. The isobaric heat capacity is defined as the partial derivative of the specific enthalpy \(h_\alpha\) to the fluid pressure \(p_\alpha\):
\( c_{p,\alpha} = \frac{\partial h_\alpha}{\partial p_\alpha} \)
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inlinestatic |
If a tabulated H2O component is used, we do our best to create tables that always work.
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tempMin | The minimum temperature used for tabulation of water \(\mathrm{[K]}\) |
tempMax | The maximum temperature used for tabulation of water \(\mathrm{[K]}\) |
nTemp | The number of ticks on the temperature axis of the table of water |
pressMin | The minimum pressure used for tabulation of water \(\mathrm{[Pa]}\) |
pressMax | The maximum pressure used for tabulation of water \(\mathrm{[Pa]}\) |
nPress | The number of ticks on the pressure axis of the table of water |
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Compressible means that the partial derivative of the density to the fluid pressure is always larger than zero.
phaseIdx | The index of the fluid phase to consider |
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phaseIdx | The index of the fluid phase to consider |
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phaseIdx | The index of the fluid phase to consider |
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We define an ideal mixture as a fluid phase where the fugacity coefficients of all components times the pressure of the phase are independent on the fluid composition. This assumption is true if Henry's law and Raoult's law apply. If you are unsure what this function should return, it is safe to return false. The only damage done will be (slightly) increased computation times in some cases.
phaseIdx | The index of the fluid phase to consider |
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If the fluid system only contains tracer components
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The molar density is defined by the mass density \(\rho_\alpha\) and the component molar mass \(M_\alpha\) after
\[\rho_{mol,\alpha} = \frac{\rho_\alpha}{M_\alpha} \;.\]
fluidState | The fluid state |
paramCache | mutable parameters |
phaseIdx | Index of the fluid phase |
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fluidState | The fluid state |
phaseIdx | Index of the fluid phase |
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compIdx | The index of the component |
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fluidState | The fluid state |
paramCache | mutable parameters |
phaseIdx | Index of the fluid phase |
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fluidState | The fluid state |
phaseIdx | Index of the fluid phase |
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inlinestaticinherited |
fluidState | The fluid state |
paramCache | mutable parameters |
phaseIdx | Index of the fluid phase |
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inlinestatic |
fluidState | The fluid state |
phaseIdx | The index of the phase |
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inlinestaticconstexprinherited |
phaseIdx | The index of the fluid phase to consider |
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