Cantera
2.3.0
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Class MultiTransport implements transport properties for high pressure gas mixtures. More...
#include <HighPressureGasTransport.h>
Public Member Functions | |
virtual int | model () const |
Transport model. More... | |
virtual std::string | transportType () const |
Identifies the Transport object type. More... | |
virtual void | getThermalDiffCoeffs (doublereal *const dt) |
Return the thermal diffusion coefficients (kg/m/s) More... | |
virtual double | thermalConductivity () |
Returns the mixture thermal conductivity in W/m/K. More... | |
virtual void | getBinaryDiffCoeffs (const size_t ld, doublereal *const d) |
virtual void | getMultiDiffCoeffs (const size_t ld, doublereal *const d) |
Return the Multicomponent diffusion coefficients. Units: [m^2/s]. More... | |
virtual doublereal | viscosity () |
Viscosity of the mixture (kg /m /s) More... | |
Public Member Functions inherited from MultiTransport | |
MultiTransport (thermo_t *thermo=0) | |
default constructor More... | |
virtual void | getSpeciesFluxes (size_t ndim, const doublereal *const grad_T, size_t ldx, const doublereal *const grad_X, size_t ldf, doublereal *const fluxes) |
Get the species diffusive mass fluxes wrt to the mass averaged velocity, given the gradients in mole fraction and temperature. More... | |
virtual void | getMolarFluxes (const doublereal *const state1, const doublereal *const state2, const doublereal delta, doublereal *const fluxes) |
Get the molar diffusional fluxes [kmol/m^2/s] of the species, given the thermodynamic state at two nearby points. More... | |
virtual void | getMassFluxes (const doublereal *state1, const doublereal *state2, doublereal delta, doublereal *fluxes) |
Get the mass diffusional fluxes [kg/m^2/s] of the species, given the thermodynamic state at two nearby points. More... | |
virtual void | init (ThermoPhase *thermo, int mode=0, int log_level=0) |
Initialize a transport manager. More... | |
Public Member Functions inherited from GasTransport | |
GasTransport (const GasTransport &right) | |
GasTransport & | operator= (const GasTransport &right) |
virtual void | getSpeciesViscosities (doublereal *const visc) |
Get the pure-species viscosities. More... | |
virtual void | getMixDiffCoeffs (doublereal *const d) |
Returns the Mixture-averaged diffusion coefficients [m^2/s]. More... | |
virtual void | getMixDiffCoeffsMole (doublereal *const d) |
Returns the mixture-averaged diffusion coefficients [m^2/s]. More... | |
virtual void | getMixDiffCoeffsMass (doublereal *const d) |
Returns the mixture-averaged diffusion coefficients [m^2/s]. More... | |
Public Member Functions inherited from Transport | |
Transport (thermo_t *thermo=0, size_t ndim=1) | |
Constructor. More... | |
Transport (const Transport &right) | |
Transport & | operator= (const Transport &right) |
virtual Transport * | duplMyselfAsTransport () const |
Duplication routine for objects which inherit from Transport. More... | |
thermo_t & | thermo () |
bool | ready () |
void | setNDim (const int ndim) |
Set the number of dimensions to be expected in flux expressions. More... | |
size_t | nDim () const |
Return the number of dimensions in flux expressions. More... | |
void | checkSpeciesIndex (size_t k) const |
Check that the specified species index is in range. More... | |
void | checkSpeciesArraySize (size_t kk) const |
Check that an array size is at least nSpecies(). More... | |
virtual doublereal | getElectricConduct () |
Compute the mixture electrical conductivity (S m-1) at the current conditions of the phase (Siemens m-1) More... | |
virtual void | getElectricCurrent (int ndim, const doublereal *grad_T, int ldx, const doublereal *grad_X, int ldf, const doublereal *grad_V, doublereal *current) |
Compute the electric current density in A/m^2. More... | |
virtual void | getSpeciesFluxesES (size_t ndim, const doublereal *grad_T, size_t ldx, const doublereal *grad_X, size_t ldf, const doublereal *grad_Phi, doublereal *fluxes) |
Get the species diffusive mass fluxes wrt to the mass averaged velocity, given the gradients in mole fraction, temperature and electrostatic potential. More... | |
virtual void | getSpeciesVdiff (size_t ndim, const doublereal *grad_T, int ldx, const doublereal *grad_X, int ldf, doublereal *Vdiff) |
Get the species diffusive velocities wrt to the mass averaged velocity, given the gradients in mole fraction and temperature. More... | |
virtual void | getSpeciesVdiffES (size_t ndim, const doublereal *grad_T, int ldx, const doublereal *grad_X, int ldf, const doublereal *grad_Phi, doublereal *Vdiff) |
Get the species diffusive velocities wrt to the mass averaged velocity, given the gradients in mole fraction, temperature, and electrostatic potential. More... | |
virtual void | setParameters (const int type, const int k, const doublereal *const p) |
Set model parameters for derived classes. More... | |
void | setVelocityBasis (VelocityBasis ivb) |
Sets the velocity basis. More... | |
VelocityBasis | getVelocityBasis () const |
Gets the velocity basis. More... | |
virtual doublereal | bulkViscosity () |
The bulk viscosity in Pa-s. More... | |
virtual doublereal | ionConductivity () |
The ionic conductivity in 1/ohm/m. More... | |
virtual void | getSpeciesIonConductivity (doublereal *const ionCond) |
Returns the pure species ionic conductivity. More... | |
virtual void | mobilityRatio (double *mobRat) |
Returns the pointer to the mobility ratios of the species in the phase. More... | |
virtual void | getSpeciesMobilityRatio (double **mobRat) |
Returns the pure species limit of the mobility ratios. More... | |
virtual void | selfDiffusion (doublereal *const selfDiff) |
Returns the self diffusion coefficients of the species in the phase. More... | |
virtual void | getSpeciesSelfDiffusion (double **selfDiff) |
Returns the pure species self diffusion in solution of each species. More... | |
virtual doublereal | electricalConductivity () |
The electrical conductivity (Siemens/m). More... | |
virtual void | getMobilities (doublereal *const mobil_e) |
Get the Electrical mobilities (m^2/V/s). More... | |
virtual void | getFluidMobilities (doublereal *const mobil_f) |
Get the fluid mobilities (s kmol/kg). More... | |
virtual bool | initLiquid (LiquidTransportParams &tr) |
Called by TransportFactory to set parameters. More... | |
virtual bool | initSolid (SolidTransportData &tr) |
Called by TransportFactory to set parameters. More... | |
virtual void | setThermo (thermo_t &thermo) |
Specifies the ThermoPhase object. More... | |
Protected Member Functions | |
HighPressureGasTransport (thermo_t *thermo=0) | |
default constructor More... | |
virtual doublereal | Tcrit_i (size_t i) |
virtual doublereal | Pcrit_i (size_t i) |
virtual doublereal | Vcrit_i (size_t i) |
virtual doublereal | Zcrit_i (size_t i) |
vector_fp | store (size_t i, size_t nsp) |
virtual doublereal | FQ_i (doublereal Q, doublereal Tr, doublereal MW) |
virtual doublereal | setPcorr (doublereal Pr, doublereal Tr) |
Protected Member Functions inherited from MultiTransport | |
void | update_T () |
Update basic temperature-dependent quantities if the temperature has changed. More... | |
void | update_C () |
Update basic concentration-dependent quantities if the concentrations have changed. More... | |
void | updateThermal_T () |
Update the temperature-dependent terms needed to compute the thermal conductivity and thermal diffusion coefficients. More... | |
void | correctBinDiffCoeffs () |
void | eval_L0000 (const doublereal *const x) |
Evaluate the L0000 matrices. More... | |
void | eval_L0010 (const doublereal *const x) |
Evaluate the L0010 matrices. More... | |
void | eval_L1000 () |
Evaluate the L1000 matrices. More... | |
void | eval_L0100 () |
void | eval_L0001 () |
void | eval_L1010 (const doublereal *x) |
void | eval_L1001 (const doublereal *x) |
void | eval_L0110 () |
void | eval_L0101 (const doublereal *x) |
bool | hasInternalModes (size_t j) |
doublereal | pressure_ig () |
virtual void | solveLMatrixEquation () |
Protected Member Functions inherited from GasTransport | |
GasTransport (ThermoPhase *thermo=0) | |
virtual void | updateViscosity_T () |
Update the temperature-dependent viscosity terms. More... | |
virtual void | updateSpeciesViscosities () |
Update the pure-species viscosities. More... | |
virtual void | updateDiff_T () |
Update the binary diffusion coefficients. More... | |
void | setupMM () |
Prepare to build a new kinetic-theory-based transport manager for low-density gases. More... | |
void | getTransportData () |
Read the transport database. More... | |
void | makePolarCorrections (size_t i, size_t j, doublereal &f_eps, doublereal &f_sigma) |
Corrections for polar-nonpolar binary diffusion coefficients. More... | |
void | fitCollisionIntegrals (MMCollisionInt &integrals) |
Generate polynomial fits to collision integrals. More... | |
void | fitProperties (MMCollisionInt &integrals) |
Generate polynomial fits to the viscosity, conductivity, and the binary diffusion coefficients. More... | |
void | getBinDiffCorrection (doublereal t, MMCollisionInt &integrals, size_t k, size_t j, doublereal xk, doublereal xj, doublereal &fkj, doublereal &fjk) |
Second-order correction to the binary diffusion coefficients. More... | |
Protected Member Functions inherited from Transport | |
void | finalize () |
Enable the transport object for use. More... | |
Friends | |
class | TransportFactory |
Additional Inherited Members | |
Protected Attributes inherited from MultiTransport | |
doublereal | m_thermal_tlast |
DenseMatrix | m_astar |
Dense matrix for astar. More... | |
DenseMatrix | m_bstar |
Dense matrix for bstar. More... | |
DenseMatrix | m_cstar |
Dense matrix for cstar. More... | |
DenseMatrix | m_om22 |
Dense matrix for omega22. More... | |
vector_fp | m_cinternal |
vector_fp | m_sqrt_eps_k |
DenseMatrix | m_log_eps_k |
vector_fp | m_frot_298 |
vector_fp | m_rotrelax |
doublereal | m_lambda |
DenseMatrix | m_Lmatrix |
DenseMatrix | m_aa |
vector_fp | m_a |
vector_fp | m_b |
vector_fp | m_spwork1 |
vector_fp | m_spwork2 |
vector_fp | m_spwork3 |
vector_fp | m_molefracs_last |
Mole fraction vector from last L-matrix evaluation. More... | |
bool | m_abc_ok |
Boolean indicating viscosity is up to date. More... | |
bool | m_l0000_ok |
bool | m_lmatrix_soln_ok |
DenseMatrix | incl |
bool | m_debug |
Protected Attributes inherited from GasTransport | |
vector_fp | m_molefracs |
Vector of species mole fractions. More... | |
doublereal | m_viscmix |
Internal storage for the viscosity of the mixture (kg /m /s) More... | |
bool | m_visc_ok |
Update boolean for mixture rule for the mixture viscosity. More... | |
bool | m_viscwt_ok |
Update boolean for the weighting factors for the mixture viscosity. More... | |
bool | m_spvisc_ok |
Update boolean for the species viscosities. More... | |
bool | m_bindiff_ok |
Update boolean for the binary diffusivities at unit pressure. More... | |
int | m_mode |
Type of the polynomial fits to temperature. More... | |
DenseMatrix | m_phi |
m_phi is a Viscosity Weighting Function. size = m_nsp * n_nsp More... | |
vector_fp | m_spwork |
work space length = m_kk More... | |
vector_fp | m_visc |
vector of species viscosities (kg /m /s). More... | |
std::vector< vector_fp > | m_visccoeffs |
Polynomial fits to the viscosity of each species. More... | |
vector_fp | m_mw |
Local copy of the species molecular weights. More... | |
DenseMatrix | m_wratjk |
Holds square roots of molecular weight ratios. More... | |
DenseMatrix | m_wratkj1 |
Holds square roots of molecular weight ratios. More... | |
vector_fp | m_sqvisc |
vector of square root of species viscosities sqrt(kg /m /s). More... | |
vector_fp | m_polytempvec |
Powers of the ln temperature, up to fourth order. More... | |
doublereal | m_temp |
Current value of the temperature at which the properties in this object are calculated (Kelvin). More... | |
doublereal | m_kbt |
Current value of Boltzmann constant times the temperature (Joules) More... | |
doublereal | m_sqrt_kbt |
current value of Boltzmann constant times the temperature. More... | |
doublereal | m_sqrt_t |
current value of temperature to 1/2 power More... | |
doublereal | m_logt |
Current value of the log of the temperature. More... | |
doublereal | m_t14 |
Current value of temperature to 1/4 power. More... | |
doublereal | m_t32 |
Current value of temperature to the 3/2 power. More... | |
std::vector< vector_fp > | m_diffcoeffs |
Polynomial fits to the binary diffusivity of each species. More... | |
DenseMatrix | m_bdiff |
Matrix of binary diffusion coefficients at the reference pressure and the current temperature Size is nsp x nsp. More... | |
std::vector< vector_fp > | m_condcoeffs |
temperature fits of the heat conduction More... | |
std::vector< vector_int > | m_poly |
Indices for the (i,j) interaction in collision integral fits. More... | |
std::vector< vector_fp > | m_omega22_poly |
Fit for omega22 collision integral. More... | |
std::vector< vector_fp > | m_astar_poly |
Fit for astar collision integral. More... | |
std::vector< vector_fp > | m_bstar_poly |
Fit for bstar collision integral. More... | |
std::vector< vector_fp > | m_cstar_poly |
Fit for cstar collision integral. More... | |
vector_fp | m_zrot |
Rotational relaxation number for each species. More... | |
vector_fp | m_crot |
Dimensionless rotational heat capacity of each species. More... | |
std::vector< bool > | m_polar |
Vector of booleans indicating whether a species is a polar molecule. More... | |
vector_fp | m_alpha |
Polarizability of each species in the phase. More... | |
vector_fp | m_eps |
Lennard-Jones well-depth of the species in the current phase. More... | |
vector_fp | m_sigma |
Lennard-Jones diameter of the species in the current phase. More... | |
DenseMatrix | m_reducedMass |
This is the reduced mass of the interaction between species i and j. More... | |
DenseMatrix | m_diam |
hard-sphere diameter for (i,j) collision More... | |
DenseMatrix | m_epsilon |
The effective well depth for (i,j) collisions. More... | |
DenseMatrix | m_dipole |
The effective dipole moment for (i,j) collisions. More... | |
DenseMatrix | m_delta |
Reduced dipole moment of the interaction between two species. More... | |
vector_fp | m_w_ac |
Pitzer acentric factor. More... | |
int | m_log_level |
Level of verbose printing during initialization. More... | |
Protected Attributes inherited from Transport | |
thermo_t * | m_thermo |
pointer to the object representing the phase More... | |
bool | m_ready |
true if finalize has been called More... | |
size_t | m_nsp |
Number of species. More... | |
size_t | m_nDim |
Number of dimensions used in flux expressions. More... | |
int | m_velocityBasis |
Velocity basis from which diffusion velocities are computed. More... | |
Class MultiTransport implements transport properties for high pressure gas mixtures.
The implementation employs a method of corresponding states, using the Takahashi approach for binary diffusion coefficients, (using multicomponent averaging rules for the mixture properties, and the Lucas method for the viscosity of a high-pressure gas mixture.
Definition at line 38 of file HighPressureGasTransport.h.
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protected |
default constructor
thermo | Optional parameter for the pointer to the ThermoPhase object |
Definition at line 30 of file HighPressureGasTransport.cpp.
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inlinevirtual |
Transport model.
The transport model is the set of equations used to compute the transport properties. This method returns an integer flag that identifies the transport model implemented. The base class returns 0.
transportType()
instead. To be removed after Cantera 2.3. Reimplemented from MultiTransport.
Definition at line 48 of file HighPressureGasTransport.h.
References GasTransport::m_mode, and Cantera::warn_deprecated().
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inlinevirtual |
Identifies the Transport object type.
Each derived class should override this method to return a meaningful identifier.
Reimplemented from MultiTransport.
Definition at line 59 of file HighPressureGasTransport.h.
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virtual |
Return the thermal diffusion coefficients (kg/m/s)
Currently not implemented for this model
Reimplemented from MultiTransport.
Definition at line 125 of file HighPressureGasTransport.cpp.
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virtual |
Returns the mixture thermal conductivity in W/m/K.
Units are in W / m K or equivalently kg m / s3 K
Reimplemented from MultiTransport.
Definition at line 35 of file HighPressureGasTransport.cpp.
References Cantera::BigNumber, Cantera::GasConstant, ThermoPhase::getCp_R_ref(), Phase::getMoleFractions(), GasTransport::m_mw, Transport::m_nsp, GasTransport::m_temp, Transport::m_thermo, GasTransport::m_w_ac, Phase::molarVolume(), Phase::nSpecies(), Phase::temperature(), Cantera::Tiny, and MultiTransport::update_T().
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virtual |
Returns the matrix of binary diffusion coefficients
d[ld*j + i] = rp*m_bdiff(i,j)*(DP)_R;
ld | offset of rows in the storage |
d | output vector of diffusion coefficients. Units of m**2 / s |
Reimplemented from GasTransport.
Definition at line 137 of file HighPressureGasTransport.cpp.
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virtual |
Return the Multicomponent diffusion coefficients. Units: [m^2/s].
If the transport manager implements a multicomponent diffusion model, then this method returns the array of multicomponent diffusion coefficients. Otherwise it throws an exception.
[in] | ld | The dimension of the inner loop of d (usually equal to m_nsp) |
[out] | d | flat vector of diffusion coefficients, fortran ordering. d[ld*j+i] is the D_ij diffusion coefficient (the diffusion coefficient for species i due to species j). |
Reimplemented from MultiTransport.
Definition at line 193 of file HighPressureGasTransport.cpp.
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virtual |
Viscosity of the mixture (kg /m /s)
The viscosity is computed using the Wilke mixture rule (kg /m /s)
\[ \mu = \sum_k \frac{\mu_k X_k}{\sum_j \Phi_{k,j} X_j}. \]
Here \( \mu_k \) is the viscosity of pure species k, and
\[ \Phi_{k,j} = \frac{\left[1 + \sqrt{\left(\frac{\mu_k}{\mu_j}\sqrt{\frac{M_j}{M_k}}\right)}\right]^2} {\sqrt{8}\sqrt{1 + M_k/M_j}} \]
Reimplemented from GasTransport.
Definition at line 278 of file HighPressureGasTransport.cpp.
References Phase::getMoleFractions(), GasTransport::m_mw, Transport::m_nsp, Transport::m_thermo, Phase::meanMolecularWeight(), Phase::nSpecies(), ThermoPhase::satPressure(), and Phase::temperature().