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Nasa9Poly1 Class Reference
Models of Phases of Matter » Thermodynamic Properties » Species Reference-State Thermodynamic Properties

The NASA 9 polynomial parameterization for one temperature range. More...

`#include <Nasa9Poly1.h>`

Inheritance diagram for Nasa9Poly1:
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Collaboration diagram for Nasa9Poly1:
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## Public Member Functions
| Nasa9Poly1 (double tlow, double thigh, double pref, const double *coeffs)
| Constructor with all input data. More...
void | setParameters (const vector_fp &coeffs)
| Set the array of 9 polynomial coefficients. More...
virtual int | reportType () const
| Returns an integer representing the type of parameterization. More...
virtual size_t | temperaturePolySize () const
| Number of terms in the temperature polynomial for this parameterization. More...
virtual void | updateTemperaturePoly (double T, double *T_poly) const
| Given the temperature T, compute the terms of the temperature polynomial T_poly. More...
virtual void | updateProperties (const doublereal *tt, doublereal *cp_R, doublereal *h_RT, doublereal *s_R) const
| Update the properties for this species, given a temperature polynomial. More...
virtual void | updatePropertiesTemp (const doublereal temp, doublereal *cp_R, doublereal *h_RT, doublereal *s_R) const
| Compute the reference-state property of one species. More...
virtual void | reportParameters (size_t &n, int &type, doublereal &tlow, doublereal &thigh, doublereal &pref, doublereal *const coeffs) const
| This utility function reports back the type of parameterization and all of the parameters for the species. More...
virtual void | getParameters (AnyMap &thermo) const
| Store the parameters of the species thermo object such that an identical species thermo object could be reconstructed using the newSpeciesThermo() function. More...
Public Member Functions inherited from SpeciesThermoInterpType
| SpeciesThermoInterpType (double tlow, double thigh, double pref)
| SpeciesThermoInterpType (const SpeciesThermoInterpType &b)=delete
SpeciesThermoInterpType & | operator= (const SpeciesThermoInterpType &b)=delete
virtual doublereal | minTemp () const
| Returns the minimum temperature that the thermo parameterization is valid. More...
virtual void | setMinTemp (double Tmin)
| Set the minimum temperature at which the thermo parameterization is valid. More...
virtual doublereal | maxTemp () const
| Returns the maximum temperature that the thermo parameterization is valid. More...
virtual void | setMaxTemp (double Tmax)
| Set the maximum temperature at which the thermo parameterization is valid. More...
virtual doublereal | refPressure () const
| Returns the reference pressure (Pa) More...
virtual void | setRefPressure (double Pref)
| Set the reference pressure [Pa]. More...
virtual void | validate (const std::string &name)
| Check for problems with the parameterization, and generate warnings or throw and exception if any are found. More...
virtual int | reportType () const
| Returns an integer representing the type of parameterization. More...
virtual size_t | temperaturePolySize () const
| Number of terms in the temperature polynomial for this parameterization. More...
virtual void | updateTemperaturePoly (double T, double *T_poly) const
| Given the temperature T, compute the terms of the temperature polynomial T_poly. More...
virtual void | updateProperties (const doublereal *tt, doublereal *cp_R, doublereal *h_RT, doublereal *s_R) const
| Update the properties for this species, given a temperature polynomial. More...
virtual void | updatePropertiesTemp (const doublereal temp, doublereal *cp_R, doublereal *h_RT, doublereal *s_R) const
| Compute the reference-state property of one species. More...
virtual size_t | nCoeffs () const
| This utility function returns the number of coefficients for a given type of species parameterization. More...
virtual void | reportParameters (size_t &index, int &type, doublereal &minTemp, doublereal &maxTemp, doublereal &refPressure, doublereal *const coeffs) const
| This utility function returns the type of parameterization and all of the parameters for the species. More...
AnyMap | parameters (bool withInput=true) const
| Return the parameters of the species thermo object such that an identical species thermo object could be reconstructed using the newSpeciesThermo() function. More...
virtual doublereal | reportHf298 (doublereal *const h298=0) const
| Report the 298 K Heat of Formation of the standard state of one species (J kmol-1) More...
virtual void | modifyOneHf298 (const size_t k, const doublereal Hf298New)
| Modify the value of the 298 K Heat of Formation of one species in the phase (J kmol-1) More...
virtual void | resetHf298 ()
| Restore the original heat of formation for this species. More...
const AnyMap & | input () const
| Access input data associated with the species thermo definition. More...
AnyMap & | input ()

## Protected Attributes
vector_fp | m_coeff
| array of polynomial coefficients More...
Protected Attributes inherited from SpeciesThermoInterpType
doublereal | m_lowT
| lowest valid temperature More...
doublereal | m_highT
| Highest valid temperature. More...
doublereal | m_Pref
| Reference state pressure. More...
AnyMap | m_input

## Additional Inherited Members
virtual void | getParameters (AnyMap &thermo) const
| Store the parameters of the species thermo object such that an identical species thermo object could be reconstructed using the newSpeciesThermo() function. More...

## Detailed Description

The NASA 9 polynomial parameterization for one temperature range.

This parameterization expresses the heat capacity via a 7 coefficient polynomial. Note that this is the form used in the 2002 NASA equilibrium program. A reference to the form is provided below:

"NASA Glenn Coefficients for Calculating Thermodynamic Properties of Individual Species," B. J. McBride, M. J. Zehe, S. Gordon NASA/TP-2002-211556, Sept. 2002

Nine coefficients \((a_0,\dots,a_8)\) are used to represent \( C_p^0(T)\), \( H^0(T)\), and \( S^0(T) \) as polynomials in \( T \) :

\[ \frac{C_p^0(T)}{R} = a_0 T^{-2} + a_1 T^{-1} + a_2 + a_3 T + a_4 T^2 + a_5 T^3 + a_6 T^4 \]

\[ \frac{H^0(T)}{RT} = - a_0 T^{-2} + a_1 \frac{\ln T}{T} + a_2 + \frac{a_3}{2} T + \frac{a_4}{3} T^2 + \frac{a_5}{4} T^3 + \frac{a_6}{5} T^4 + \frac{a_7}{T} \]

\[ \frac{s^0(T)}{R} = - \frac{a_0}{2} T^{-2} - a_1 T^{-1} + a_2 \ln T + a_3 T + \frac{a_4}{2} T^2 + \frac{a_5}{3} T^3 + \frac{a_6}{4} T^4 + a_8 \]

The standard state is assumed to be an ideal gas at the standard pressure of 1 bar, for gases. For condensed species, the standard state is the pure crystalline or liquid substance at the standard pressure of 1 atm.

These NASA representations may have multiple temperature regions through the use of the Nasa9PolyMultiTempRegion object, which uses multiple copies of this Nasa9Poly1 object to handle multiple temperature regions.

See also
  Nasa9PolyMultiTempRegion

Definition at line 62 of file Nasa9Poly1.h.

## Constructor & Destructor Documentation

## ◆ Nasa9Poly1() [1/2]

Nasa9Poly1 | ( |  | ) |

Definition at line 21 of file Nasa9Poly1.cpp.

## ◆ Nasa9Poly1() [2/2]

Nasa9Poly1 | ( | double | tlow,
|  | double | thigh,
|  | double | pref,
|  | const double * | coeffs
| ) |  |

Constructor with all input data.

Parameters

  tlow | Minimum temperature
  thigh | Maximum temperature
  pref | reference pressure (Pa).
  coeffs | Vector of coefficients used to set the parameters for the standard state.

Definition at line 26 of file Nasa9Poly1.cpp.

## Member Function Documentation

## ◆ setParameters()

void setParameters | ( | const vector_fp & | coeffs | ) |

Set the array of 9 polynomial coefficients.

Definition at line 33 of file Nasa9Poly1.cpp.

References Nasa9Poly1::m_coeff.

Referenced by Nasa9PolyMultiTempRegion::setParameters().

## ◆ reportType()

int reportType | ( |  | ) | const
| virtual

Returns an integer representing the type of parameterization.

Reimplemented from SpeciesThermoInterpType.

Definition at line 42 of file Nasa9Poly1.cpp.

References NASA9.

## ◆ temperaturePolySize()

virtual size_t temperaturePolySize | ( |  | ) | const
| inline virtual

Number of terms in the temperature polynomial for this parameterization.

Reimplemented from SpeciesThermoInterpType.

Definition at line 82 of file Nasa9Poly1.h.

## ◆ updateTemperaturePoly()

void updateTemperaturePoly | ( | double | T,
|  | double * | T_poly
| ) |  | const
| virtual

Given the temperature T, compute the terms of the temperature polynomial T_poly.

Reimplemented from SpeciesThermoInterpType.

Definition at line 47 of file Nasa9Poly1.cpp.

Referenced by Nasa9Poly1::updatePropertiesTemp().

## ◆ updateProperties()

void updateProperties | ( | const doublereal * | tt,
|  | doublereal * | cp_R,
|  | doublereal * | h_RT,
|  | doublereal * | s_R
| ) |  | const
| virtual

Update the properties for this species, given a temperature polynomial.

This method is called with a pointer to an array containing the functions of temperature needed by this parameterization, and three pointers to arrays where the computed property values should be written. This method updates only one value in each array.

The form and length of the Temperature Polynomial may vary depending on the parameterization.

Parameters

  tt | vector of evaluated temperature functions
  cp_R | Vector of Dimensionless heat capacities. (length m_kk).
  h_RT | Vector of Dimensionless enthalpies. (length m_kk).
  s_R | Vector of Dimensionless entropies. (length m_kk).

Temperature Polynomial:

- tt[0] = t;
- tt[1] = t*t;
- tt[2] = t*t*t;
- tt[3] = t*t*t*t;
- tt[4] = 1.0/t;
- tt[5] = 1.0/(t*t);
- tt[6] = std::log(t);

Reimplemented from SpeciesThermoInterpType.

Definition at line 58 of file Nasa9Poly1.cpp.

References Nasa9Poly1::m_coeff.

Referenced by Nasa9Poly1::updatePropertiesTemp().

## ◆ updatePropertiesTemp()

void updatePropertiesTemp | ( | const doublereal | temp,
|  | doublereal * | cp_R,
|  | doublereal * | h_RT,
|  | doublereal * | s_R
| ) |  | const
| virtual

Compute the reference-state property of one species.

Given temperature T in K, this method updates the values of the non- dimensional heat capacity at constant pressure, enthalpy, and entropy, at the reference pressure, of the species.

Parameters

  temp | Temperature (Kelvin)
  cp_R | Vector of Dimensionless heat capacities. (length m_kk).
  h_RT | Vector of Dimensionless enthalpies. (length m_kk).
  s_R | Vector of Dimensionless entropies. (length m_kk).

Reimplemented from SpeciesThermoInterpType.

Definition at line 83 of file Nasa9Poly1.cpp.

References Nasa9Poly1::updateProperties(), and Nasa9Poly1::updateTemperaturePoly().

## ◆ reportParameters()

void reportParameters | ( | size_t & | n,
|  | int & | type,
|  | doublereal & | tlow,
|  | doublereal & | thigh,
|  | doublereal & | pref,
|  | doublereal *const | coeffs
| ) |  | const
| virtual

This utility function reports back the type of parameterization and all of the parameters for the species.

All parameters are output variables

Parameters

  n | Species index
  type | Integer type of the standard type
  tlow | output - Minimum temperature
  thigh | output - Maximum temperature
  pref | output - reference pressure (Pa).
  coeffs | Vector of coefficients used to set the parameters for the standard state. There are 12 of them, designed to be compatible with the multiple temperature formulation. coeffs[0] is equal to one. coeffs[1] is min temperature coeffs[2] is max temperature coeffs[3+i] from i =0,9 are the coefficients themselves

Reimplemented from SpeciesThermoInterpType.

Definition at line 92 of file Nasa9Poly1.cpp.

## ◆ getParameters()

void getParameters | ( | AnyMap & | thermo | ) | const
| virtual

Store the parameters of the species thermo object such that an identical species thermo object could be reconstructed using the newSpeciesThermo() function.

Reimplemented from SpeciesThermoInterpType.

Definition at line 110 of file Nasa9Poly1.cpp.

References Nasa9Poly1::m_coeff.

## Member Data Documentation

## ◆ m_coeff

vector_fp m_coeff
| protected

array of polynomial coefficients

Definition at line 131 of file Nasa9Poly1.h.

Referenced by Nasa9Poly1::getParameters(), Nasa9Poly1::setParameters(), and Nasa9Poly1::updateProperties().

The documentation for this class was generated from the following files:

- Nasa9Poly1.h
- Nasa9Poly1.cpp