A fluid system for two-phase models assuming immiscibility and thermodynamic equilibrium. More...
#include <dumux/material/fluidsystems/2pimmiscible.hh>
A fluid system for two-phase models assuming immiscibility and thermodynamic equilibrium.
The fluid phases are completely specified by means of their constituting components. The fluids can be defined individually via FluidSystem::OnePLiquid<Scalar, Component> and FluidSystem::OnePGas<Scalar, Component>. These fluids consist of one component.
Scalar | the scalar type |
Fluid0 | a one-phase fluid system (use FluidSystem::OnePLiquid<Scalar, Component> / FluidSystem::OnePGas<Scalar, Component>) |
Fluid1 | a one-phase fluid system (use FluidSystem::OnePLiquid<Scalar, Component> / FluidSystem::OnePGas<Scalar, Component>) |
Public Types | |
using | Scalar = Scalar |
export the scalar type More... | |
using | ParameterCache = NullParameterCache |
The type of parameter cache objects. More... | |
Static Public Member Functions | |
static std::string | phaseName (int phaseIdx) |
Return the human readable name of a fluid phase. 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 | isIdealMixture (int phaseIdx) |
Returns true if and only if a fluid phase is assumed to be an ideal mixture. More... | |
static constexpr bool | isIdealGas (int phaseIdx) |
Returns true if and only if a fluid phase is assumed to be an ideal gas. More... | |
static constexpr bool | isCompressible (int phaseIdx) |
Returns true if and only if a fluid phase is assumed to be compressible. More... | |
static constexpr bool | viscosityIsConstant (int phaseIdx) |
Returns true if the liquid phase viscostiy is constant. More... | |
static bool | isIdealFluid1 (int phaseIdx) |
Returns true if and only if a fluid phase is assumed to be an ideal gas. More... | |
static std::string | componentName (int compIdx) |
Return the human readable name of a component. More... | |
static Scalar | molarMass (int compIdx) |
Return the molar mass of a component in \(\mathrm{[kg/mol]}\). More... | |
static Scalar | criticalTemperature (int compIdx) |
Critical temperature of a component \(\mathrm{[K]}\). More... | |
static Scalar | criticalPressure (int compIdx) |
Critical pressure of a component \(\mathrm{[Pa]}\). More... | |
static Scalar | acentricFactor (int compIdx) |
The acentric factor of a component \(\mathrm{[-]}\). More... | |
static void | init () |
Initialize the fluid system's static parameters. More... | |
static void | init (Scalar tempMin, Scalar tempMax, std::size_t nTemp, Scalar pressMin, Scalar pressMax, std::size_t nPress) |
Initialize the fluid system's static parameters using problem specific temperature and pressure ranges. More... | |
template<class FluidState > | |
static Scalar | density (const FluidState &fluidState, int phaseIdx) |
Calculate the density \(\mathrm{[kg/m^3]}\) of a fluid phase. More... | |
template<class FluidState > | |
static Scalar | molarDensity (const FluidState &fluidState, int phaseIdx) |
The molar density \(\rho_{mol,\alpha}\) of a fluid phase \(\alpha\) in \(\mathrm{[mol/m^3]}\). 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 | fugacityCoefficient (const FluidState &fluidState, int phaseIdx, int compIdx) |
Calculate the fugacity coefficient \(\mathrm{[-]}\) of an individual component in a fluid phase. More... | |
template<class FluidState > | |
static Scalar | diffusionCoefficient (const FluidState &fluidState, 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... | |
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 | enthalpy (const FluidState &fluidState, int phaseIdx) |
Return the specific enthalpy of a fluid phase \(\mathrm{[J/kg]}\). More... | |
template<class FluidState > | |
static Scalar | thermalConductivity (const FluidState &fluidState, int phaseIdx) |
Thermal conductivity of a fluid phase \(\mathrm{[W/(m K)]}\). More... | |
template<class FluidState > | |
static Scalar | heatCapacity (const FluidState &fluidState, int phaseIdx) |
Thermal conductivity \(\lambda_\alpha \) of a fluid phase \(\mathrm{[W/(m K)]}\). More... | |
template<class FluidState > | |
static Scalar | density (const FluidState &fluidState, int phaseIdx) |
Calculate the density \(\mathrm{[kg/m^3]}\) of a fluid phase. More... | |
template<class FluidState > | |
static Scalar | density (const FluidState &fluidState, const ParameterCache ¶mCache, int phaseIdx) |
Calculate the density \(\mathrm{[kg/m^3]}\) of a fluid phase. 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 | molarDensity (const FluidState &fluidState, const ParameterCache ¶mCache, 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) |
Calculate the dynamic viscosity of a fluid phase \(\mathrm{[Pa*s]}\). More... | |
template<class FluidState > | |
static Scalar | viscosity (const FluidState &fluidState, const ParameterCache ¶mCache, int phaseIdx) |
Calculate the dynamic viscosity of a fluid phase \(\mathrm{[Pa*s]}\). More... | |
template<class FluidState > | |
static Scalar | fugacityCoefficient (const FluidState &fluidState, int phaseIdx, int compIdx) |
Calculate the fugacity coefficient \(\mathrm{[Pa]}\) of an individual component in a fluid phase. More... | |
template<class FluidState > | |
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... | |
template<class FluidState > | |
static Scalar | diffusionCoefficient (const FluidState &fluidState, 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... | |
template<class FluidState > | |
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... | |
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 | 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... | |
template<class FluidState > | |
static Scalar | enthalpy (const FluidState &fluidState, int phaseIdx) |
Given a phase's composition, temperature, pressure and density, calculate its specific enthalpy \(\mathrm{[J/kg]}\). More... | |
template<class FluidState > | |
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... | |
template<class FluidState > | |
static Scalar | thermalConductivity (const FluidState &fluidState, int phaseIdx) |
Thermal conductivity \(\lambda_\alpha \) of a fluid phase \(\mathrm{[W/(m K)]}\). More... | |
template<class FluidState > | |
static Scalar | thermalConductivity (const FluidState &fluidState, const ParameterCache ¶mCache, int phaseIdx) |
Thermal conductivity \(\lambda_\alpha \) of a fluid phase \(\mathrm{[W/(m K)]}\). 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 | 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 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 Public Attributes | |
static constexpr int | numPhases = 2 |
Number of phases in the fluid system. More... | |
static constexpr int | numComponents = 2 |
Number of components in the fluid system. More... | |
static constexpr int | phase0Idx = 0 |
index of the first phase More... | |
static constexpr int | phase1Idx = 1 |
index of the second phase More... | |
static constexpr int | comp0Idx = 0 |
index of the first component More... | |
static constexpr int | comp1Idx = 1 |
index of the second component More... | |
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inherited |
The type of parameter cache objects.
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inherited |
export the scalar type
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inlinestatic |
The acentric factor of a component \(\mathrm{[-]}\).
compIdx | index of the component |
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inlinestatic |
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.
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 |
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.
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 |
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.
fluidState | The fluid state of the two-phase model |
phaseIdx | Index of the fluid phase |
compIIdx | index of the component i |
compJIdx | index of the component j |
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inlinestatic |
Return the human readable name of a component.
compIdx | index of the component |
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inlinestatic |
Critical pressure of a component \(\mathrm{[Pa]}\).
compIdx | index of the component |
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inlinestatic |
Critical temperature of a component \(\mathrm{[K]}\).
compIdx | index of the component |
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inlinestatic |
Calculate the density \(\mathrm{[kg/m^3]}\) of a fluid phase.
fluidState | The fluid state |
paramCache | mutable parameters |
phaseIdx | Index of the fluid phase |
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inlinestatic |
Calculate the density \(\mathrm{[kg/m^3]}\) of a fluid phase.
fluidState | The fluid state |
phaseIdx | Index of the fluid phase |
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inlinestatic |
Calculate the density \(\mathrm{[kg/m^3]}\) of a fluid phase.
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inlinestatic |
Calculate the binary molecular diffusion coefficient for a component in a fluid phase \(\mathrm{[mol^2 * s / (kg*m^3)]}\).
fluidState | The fluid state |
paramCache | mutable parameters |
phaseIdx | Index of the fluid phase |
compIdx | Index of the component Molecular diffusion of a component \(\mathrm{\kappa}\) is caused by a gradient of the chemical potential and follows the law |
\[ J = - D \mathbf{grad} \mu_\kappa \]
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.
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inlinestatic |
Calculate the binary molecular diffusion coefficient for a component in a fluid phase \(\mathrm{[mol^2 * s / (kg*m^3)]}\).
fluidState | The fluid state |
phaseIdx | Index of the fluid phase |
compIdx | Index of the component Molecular diffusion of a component \(\mathrm{\kappa}\) is caused by a gradient of the chemical potential and follows the law |
\[ J = - D \mathbf{grad} \mu_\kappa \]
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.
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inlinestatic |
Calculate the binary molecular diffusion coefficient for a component in a fluid phase \(\mathrm{[mol^2 * s / (kg*m^3)]}\).
fluidState | The fluid state of the two-phase model |
phaseIdx | Index of the fluid phase |
compIdx | index of the component |
Molecular diffusion of a component \(\mathrm{\kappa}\) is caused by a gradient of the chemical potential and follows the law
\[ J = - D \mathbf{grad} \mu_\kappa \]
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.
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inlinestatic |
Given a phase's composition, temperature, pressure and density, calculate its specific enthalpy \(\mathrm{[J/kg]}\).
fluidState | The fluid state |
paramCache | mutable parameters |
phaseIdx | Index of the fluid phase |
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inlinestatic |
Given a phase's composition, temperature, pressure and density, calculate its specific enthalpy \(\mathrm{[J/kg]}\).
fluidState | The fluid state |
phaseIdx | Index of the fluid phase |
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inlinestatic |
Return the specific enthalpy of a fluid phase \(\mathrm{[J/kg]}\).
fluidState | The fluid state of the two-phase model |
phaseIdx | Index of the fluid phase |
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inlinestatic |
Calculate the fugacity coefficient \(\mathrm{[Pa]}\) of an individual component in a fluid phase.
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 |
Calculate the fugacity coefficient \(\mathrm{[Pa]}\) of an individual component in a fluid phase.
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 |
phaseIdx | Index of the fluid phase |
compIdx | Index of the component |
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inlinestatic |
Calculate the fugacity coefficient \(\mathrm{[-]}\) of an individual component in a fluid phase.
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 of the two-phase model |
phaseIdx | Index of the fluid phase |
compIdx | index of the component |
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inlinestaticconstexprinherited |
Get the main component of a given phase if possible.
phaseIdx | The index of the fluid phase to consider |
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inlinestatic |
Specific isobaric heat capacity \(c_{p,\alpha}\) of a fluid phase \(\mathrm{[J/(kg*K)]}\).
fluidState | represents all relevant thermodynamic quantities of a fluid system |
paramCache | mutable parameters |
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 |
Specific isobaric heat capacity \(c_{p,\alpha}\) of a fluid phase \(\mathrm{[J/(kg*K)]}\).
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 |
Thermal conductivity \(\lambda_\alpha \) of a fluid phase \(\mathrm{[W/(m K)]}\).
Additional comments:
Specific isobaric heat capacity of a fluid phase. \(\mathrm{[J/(kg*K)]}\).
fluidState | The fluid state of the two-phase model |
phaseIdx | for which phase to give back the heat capacity |
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inlinestatic |
Initialize the fluid system's static parameters.
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inlinestatic |
Initialize the fluid system's static parameters using problem specific temperature and pressure ranges.
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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inlinestaticconstexpr |
Returns true if and only if a fluid phase is assumed to be compressible.
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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inlinestaticconstexpr |
Return whether a phase is gaseous.
phaseIdx | The index of the fluid phase to consider |
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inlinestatic |
Returns true if and only if a fluid phase is assumed to be an ideal gas.
phaseIdx | The index of the fluid phase to consider |
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inlinestaticconstexpr |
Returns true if and only if a fluid phase is assumed to be an ideal gas.
phaseIdx | The index of the fluid phase to consider |
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inlinestatic |
Returns true if and only if a fluid phase is assumed to be an ideal mixture.
phaseIdx | The index of the fluid phase to consider |
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 immiscibility is assumed. 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.
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inlinestaticconstexpr |
Returns whether the fluids are miscible.
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inlinestaticconstexprinherited |
Some properties of the fluid system.
If the fluid system only contains tracer components
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inlinestatic |
Calculate the molar density \(\mathrm{[mol/m^3]}\) of a fluid phase.
fluidState | The fluid state |
paramCache | mutable parameters |
phaseIdx | Index of the fluid phase |
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inlinestatic |
Calculate the molar density \(\mathrm{[mol/m^3]}\) of a fluid phase.
fluidState | The fluid state |
phaseIdx | Index of the fluid phase |
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inlinestatic |
The molar density \(\rho_{mol,\alpha}\) of a fluid phase \(\alpha\) in \(\mathrm{[mol/m^3]}\).
The molar density is defined by the mass density \(\rho_\alpha\) and the component molar mass \(M_\alpha\):
\[\rho_{mol,\alpha} = \frac{\rho_\alpha}{M_\alpha} \;.\]
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inlinestatic |
Return the molar mass of a component in \(\mathrm{[kg/mol]}\).
compIdx | index of the component |
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inlinestatic |
Return the human readable name of a fluid phase.
phaseIdx | The index of the fluid phase to consider |
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inlinestatic |
Thermal conductivity \(\lambda_\alpha \) of a fluid phase \(\mathrm{[W/(m K)]}\).
fluidState | The fluid state |
paramCache | mutable parameters |
phaseIdx | Index of the fluid phase |
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inlinestatic |
Thermal conductivity \(\lambda_\alpha \) of a fluid phase \(\mathrm{[W/(m K)]}\).
fluidState | The fluid state |
phaseIdx | Index of the fluid phase |
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inlinestatic |
Thermal conductivity of a fluid phase \(\mathrm{[W/(m K)]}\).
fluidState | The fluid state of the two-phase model |
phaseIdx | Index of the fluid phase |
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inlinestatic |
Calculate the dynamic viscosity of a fluid phase \(\mathrm{[Pa*s]}\).
fluidState | The fluid state |
paramCache | mutable parameters |
phaseIdx | Index of the fluid phase |
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inlinestatic |
Calculate the dynamic viscosity of a fluid phase \(\mathrm{[Pa*s]}\).
fluidState | The fluid state |
phaseIdx | Index of the fluid phase |
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inlinestatic |
Return the viscosity of a phase \(\mathrm{[Pa*s]}\).
fluidState | The fluid state of the two-phase model |
phaseIdx | Index of the fluid phase |
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inlinestaticconstexpr |
Returns true if the liquid phase viscostiy is constant.
phaseIdx | The index of the fluid phase to consider |
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staticconstexpr |
index of the first component
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staticconstexpr |
index of the second component
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staticconstexpr |
Number of components in the fluid system.
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staticconstexpr |
Number of phases in the fluid system.
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staticconstexpr |
index of the first phase
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staticconstexpr |
index of the second phase