Cantera
2.1.2
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The 3-parameter SRI falloff function for F More...
Public Member Functions | |
SRI3 () | |
Constructor. More... | |
virtual void | init (const vector_fp &c) |
Initialization of the object. More... | |
virtual void | updateTemp (doublereal T, doublereal *work) const |
Update the temperature parameters in the representation. More... | |
virtual doublereal | F (doublereal pr, const doublereal *work) const |
The falloff function. More... | |
virtual size_t | workSize () |
The size of the work array required. More... | |
Public Member Functions inherited from Falloff | |
Falloff () | |
Default constructor is empty. More... | |
virtual | ~Falloff () |
default destructor is empty More... | |
Protected Attributes | |
doublereal | m_a |
parameter a in the 3-parameter SRI falloff function. More... | |
doublereal | m_b |
parameter b in the 3-parameter SRI falloff function. More... | |
doublereal | m_c |
parameter c in the 3-parameter SRI falloff function. More... | |
The 3-parameter SRI falloff function for F
The falloff function defines the value of \( F \) in the following rate expression
\[ k = k_{\infty} \left( \frac{P_r}{1 + P_r} \right) F \]
where
\[ P_r = \frac{k_0 [M]}{k_{\infty}} \]
\[ F = {\left( a \; exp(\frac{-b}{T}) + exp(\frac{-T}{c})\right)}^n \]
where
\[ n = \frac{1.0}{1.0 + {\log_{10} P_r}^2} \]
\( c \) s required to greater than or equal to zero. If it is zero, then the corresponding term is set to zero.
Definition at line 232 of file FalloffFactory.cpp.
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inline |
Constructor.
Definition at line 236 of file FalloffFactory.cpp.
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inlinevirtual |
Initialization of the object.
c | Vector of three doubles: The doubles are the parameters, a, b, and c of the SRI parameterization |
Reimplemented from Falloff.
Definition at line 243 of file FalloffFactory.cpp.
References Cantera::fp2str(), SRI3::m_a, SRI3::m_b, and SRI3::m_c.
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inlinevirtual |
Update the temperature parameters in the representation.
The workspace has a length of one
T | Temperature (Kelvin) |
work | Vector of working space representing the temperature dependent part of the parameterization. |
Reimplemented from Falloff.
Definition at line 262 of file FalloffFactory.cpp.
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inlinevirtual |
The falloff function.
This is defined so that the rate coefficient is
\[ k = F(Pr)\frac{Pr}{1 + Pr}. \]
Here \( Pr \) is the reduced pressure, defined by
\[ Pr = \frac{k_0 [M]}{k_\infty}. \]
pr | reduced pressure (dimensionless). |
work | array of size workSize() containing cached temperature-dependent intermediate results from a prior call to updateTemp. |
Reimplemented from Falloff.
Definition at line 269 of file FalloffFactory.cpp.
References Cantera::SmallNumber.
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inlinevirtual |
The size of the work array required.
Reimplemented from Falloff.
Definition at line 275 of file FalloffFactory.cpp.
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protected |
parameter a in the 3-parameter SRI falloff function.
This is unitless.
Definition at line 282 of file FalloffFactory.cpp.
Referenced by SRI3::init(), and SRI3::updateTemp().
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protected |
parameter b in the 3-parameter SRI falloff function.
This has units of Kelvin.
Definition at line 286 of file FalloffFactory.cpp.
Referenced by SRI3::init(), and SRI3::updateTemp().
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protected |
parameter c in the 3-parameter SRI falloff function.
This has units of Kelvin.
Definition at line 290 of file FalloffFactory.cpp.
Referenced by SRI3::init(), and SRI3::updateTemp().