Two temperature plasma reaction rate type depends on both gas temperature and electron temperature. More...
#include <TwoTempPlasmaRate.h>
Two temperature plasma reaction rate type depends on both gas temperature and electron temperature.
The form of the two temperature plasma reaction rate coefficient is similar to an Arrhenius reaction rate coefficient. The temperature exponent (b) is applied to the electron temperature instead. In addition, the exponential term with activation energy for electron is included.
\[ k_f = A T_e^b \exp (-E_{a,g}/RT) \exp (E_{a,e} (T_e - T)/(R T T_e)) \]
where \( T_e \) is the electron temperature, \( E_{a,g} \) is the activation energy for gas, and \( E_{a,e} \) is the activation energy for electron, see Kossyi, et al. [21].
Definition at line 60 of file TwoTempPlasmaRate.h.
Public Member Functions | |
TwoTempPlasmaRate (double A, double b, double Ea=0.0, double EE=0.0) | |
Constructor. | |
TwoTempPlasmaRate (const AnyMap &node, const UnitStack &rate_units={}) | |
unique_ptr< MultiRateBase > | newMultiRate () const override |
Create a rate evaluator for reactions of a particular derived type. | |
const string | type () const override |
String identifying reaction rate specialization. | |
void | setContext (const Reaction &rxn, const Kinetics &kin) override |
Set context of reaction rate evaluation. | |
double | evalFromStruct (const TwoTempPlasmaData &shared_data) const |
Evaluate reaction rate. | |
double | ddTScaledFromStruct (const TwoTempPlasmaData &shared_data) const |
Evaluate derivative of reaction rate with respect to temperature divided by reaction rate. | |
double | activationElectronEnergy () const |
Return the electron activation energy Ea [J/kmol]. | |
Public Member Functions inherited from ArrheniusBase | |
ArrheniusBase () | |
Default constructor. | |
ArrheniusBase (double A, double b, double Ea) | |
Constructor. | |
ArrheniusBase (const AnyValue &rate, const UnitSystem &units, const UnitStack &rate_units) | |
Constructor based on AnyValue content. | |
ArrheniusBase (const AnyMap &node, const UnitStack &rate_units={}) | |
void | setRateParameters (const AnyValue &rate, const UnitSystem &units, const UnitStack &rate_units) |
Perform object setup based on AnyValue node information. | |
void | getRateParameters (AnyMap &node) const |
Get Arrhenius parameters used to populate the rate-coefficient or equivalent field. | |
void | setParameters (const AnyMap &node, const UnitStack &rate_units) override |
Set parameters. | |
void | getParameters (AnyMap &node) const override |
Get parameters. | |
void | check (const string &equation) override |
Check rate expression. | |
void | validate (const string &equation, const Kinetics &kin) override |
Validate the reaction rate expression. | |
virtual double | preExponentialFactor () const |
Return the pre-exponential factor A (in m, kmol, s to powers depending on the reaction order) | |
virtual double | temperatureExponent () const |
Return the temperature exponent b | |
virtual double | activationEnergy () const |
Return the activation energy Ea [J/kmol] The value corresponds to the constant specified by input parameters;. | |
double | order () const |
Return reaction order associated with the reaction rate. | |
void | setRateUnits (const UnitStack &rate_units) override |
Set units of the reaction rate expression. | |
bool | allowNegativePreExponentialFactor () const |
Get flag indicating whether negative A values are permitted. | |
void | setAllowNegativePreExponentialFactor (bool value) |
Set flag indicating whether negative A values are permitted. | |
Public Member Functions inherited from ReactionRate | |
ReactionRate (const ReactionRate &other) | |
ReactionRate & | operator= (const ReactionRate &other) |
virtual unique_ptr< MultiRateBase > | newMultiRate () const |
Create a rate evaluator for reactions of a particular derived type. | |
virtual const string | type () const =0 |
String identifying reaction rate specialization. | |
virtual const string | subType () const |
String identifying sub-type of reaction rate specialization. | |
virtual void | setParameters (const AnyMap &node, const UnitStack &units) |
Set parameters. | |
AnyMap | parameters () const |
Return the parameters such that an identical Reaction could be reconstructed using the newReaction() function. | |
const Units & | conversionUnits () const |
Get the units for converting the leading term in the reaction rate expression. | |
virtual void | setRateUnits (const UnitStack &rate_units) |
Set the units of the reaction rate expression. | |
virtual void | check (const string &equation) |
Check basic syntax and settings of reaction rate expression. | |
virtual void | validate (const string &equation, const Kinetics &kin) |
Validate the reaction rate expression. | |
size_t | rateIndex () const |
Reaction rate index within kinetics evaluator. | |
void | setRateIndex (size_t idx) |
Set reaction rate index within kinetics evaluator. | |
virtual void | setContext (const Reaction &rxn, const Kinetics &kin) |
Set context of reaction rate evaluation. | |
double | eval (double T) |
Evaluate reaction rate based on temperature. | |
double | eval (double T, double extra) |
Evaluate reaction rate based on temperature and an extra parameter. | |
double | eval (double T, const vector< double > &extra) |
Evaluate reaction rate based on temperature and an extra vector parameter. | |
bool | valid () const |
Get flag indicating whether reaction rate is set up correctly. | |
bool | compositionDependent () |
Boolean indicating whether rate has compositional dependence. | |
void | setCompositionDependence (bool comp_dep) |
Set rate compositional dependence. | |
Additional Inherited Members | |
virtual void | getParameters (AnyMap &node) const |
Get parameters. | |
Protected Attributes inherited from ArrheniusBase | |
bool | m_negativeA_ok = false |
Permissible negative A values. | |
double | m_A = NAN |
Pre-exponential factor. | |
double | m_b = NAN |
Temperature exponent. | |
double | m_Ea_R = 0. |
Activation energy (in temperature units) | |
double | m_E4_R = 0. |
Optional 4th energy parameter (in temperature units) | |
double | m_logA = NAN |
Logarithm of pre-exponential factor. | |
double | m_order = NAN |
Reaction order. | |
string | m_A_str = "A" |
The string for the pre-exponential factor. | |
string | m_b_str = "b" |
The string for temperature exponent. | |
string | m_Ea_str = "Ea" |
The string for activation energy. | |
string | m_E4_str = "" |
The string for an optional 4th parameter. | |
Protected Attributes inherited from ReactionRate | |
AnyMap | m_input |
Input data used for specific models. | |
size_t | m_rate_index = npos |
Index of reaction rate within kinetics evaluator. | |
bool | m_valid = false |
Flag indicating whether reaction rate is set up correctly. | |
bool | m_composition_dependent_rate = false |
Flag indicating composition dependent rate. | |
Units | m_conversion_units {0.} |
Units of the leading term in the reaction rate expression. | |
Definition at line 48 of file TwoTempPlasmaRate.cpp.
TwoTempPlasmaRate | ( | double | A, |
double | b, | ||
double | Ea = 0.0 , |
||
double | EE = 0.0 |
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) |
Constructor.
A | Pre-exponential factor. The unit system is (kmol, m, s); actual units depend on the reaction order and the dimensionality (surface or bulk). |
b | Temperature exponent (non-dimensional) |
Ea | Activation energy in energy units [J/kmol] |
EE | Activation electron energy in energy units [J/kmol] |
Definition at line 54 of file TwoTempPlasmaRate.cpp.
TwoTempPlasmaRate | ( | const AnyMap & | node, |
const UnitStack & | rate_units = {} |
||
) |
Definition at line 62 of file TwoTempPlasmaRate.cpp.
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inlineoverridevirtual |
Create a rate evaluator for reactions of a particular derived type.
Derived classes usually implement this as:
where RateType
is the derived class name and DataType
is the corresponding container for parameters needed to evaluate reactions of that type.
Reimplemented from ReactionRate.
Definition at line 77 of file TwoTempPlasmaRate.h.
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inlineoverridevirtual |
String identifying reaction rate specialization.
Implements ReactionRate.
Definition at line 81 of file TwoTempPlasmaRate.h.
Set context of reaction rate evaluation.
rxn | Reaction object associated with rate |
kin | Kinetics object used for rate evaluation This method allows for passing of information specific to the associated reaction when a ReactionRate object is added a MultiRate reaction evaluator. |
Reimplemented from ReactionRate.
Definition at line 75 of file TwoTempPlasmaRate.cpp.
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inline |
Evaluate reaction rate.
shared_data | data shared by all reactions of a given type |
Definition at line 91 of file TwoTempPlasmaRate.h.
double ddTScaledFromStruct | ( | const TwoTempPlasmaData & | shared_data | ) | const |
Evaluate derivative of reaction rate with respect to temperature divided by reaction rate.
This method does not consider changes of electron temperature. A corresponding warning is raised.
shared_data | data shared by all reactions of a given type |
Definition at line 68 of file TwoTempPlasmaRate.cpp.
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inline |
Return the electron activation energy Ea [J/kmol].
Definition at line 109 of file TwoTempPlasmaRate.h.