The Shomate polynomial parameterization for two temperature ranges for one species. More...

#include <ShomatePoly.h>

Inheritance diagram for ShomatePoly2:

Collaboration diagram for ShomatePoly2:

Public Member Functions
	ShomatePoly2 ()
	Empty constructor. More...

	ShomatePoly2 (size_t n, doublereal tlow, doublereal thigh, doublereal pref, const doublereal *coeffs)
	Constructor used in templated instantiations. More...

	ShomatePoly2 (double tlow, double thigh, double pref, const double *coeffs)
	Normal constructor. More...

	ShomatePoly2 (const ShomatePoly2 &b)
	Copy constructor. More...

ShomatePoly2 &	operator= (const ShomatePoly2 &b)
	Assignment operator. More...

virtual SpeciesThermoInterpType *	duplMyselfAsSpeciesThermoInterpType () const

virtual int	reportType () const
	Returns an integer representing the type of parameterization. More...

virtual void	setIndex (size_t index)

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, index. More...

virtual void	modifyParameters (doublereal *coeffs)
	Modify parameters for the standard state. 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...

Public Member Functions inherited from SpeciesThermoInterpType
	SpeciesThermoInterpType (size_t n, doublereal tlow, doublereal thigh, doublereal pref)

	SpeciesThermoInterpType (double tlow, double thigh, double pref)

	SpeciesThermoInterpType (const SpeciesThermoInterpType &b)

virtual doublereal	minTemp () const
	Returns the minimum temperature that the thermo parameterization is valid. More...

virtual doublereal	maxTemp () const
	Returns the maximum temperature that the thermo parameterization is valid. More...

virtual doublereal	refPressure () const
	Returns 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 size_t	speciesIndex () const
	Returns an integer representing the species index. More...

Protected Attributes
doublereal	m_midT
	Midrange temperature (kelvin) More...

ShomatePoly	msp_low
	Shomate polynomial for the low temperature region. More...

ShomatePoly	msp_high
	Shomate polynomial for the high temperature region. More...

vector_fp	m_coeff
	Array of the original 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...

size_t	m_index
	species index More...

Detailed Description

The Shomate polynomial parameterization for two temperature ranges for one species.

Seven coefficients \((A,\dots,G)\) are used to represent \( c_p^0(T)\), \( h^0(T)\), and \( s^0(T) \) as polynomials in the temperature, \( T \), in one temperature region:

\[ \tilde{c}_p^0(T) = A + B t + C t^2 + D t^3 + \frac{E}{t^2} \]

\[ \tilde{h}^0(T) = A t + \frac{B t^2}{2} + \frac{C t^3}{3} + \frac{D t^4}{4} - \frac{E}{t} + F. \]

\[ \tilde{s}^0(T) = A\ln t + B t + \frac{C t^2}{2} + \frac{D t^3}{3} - \frac{E}{2t^2} + G. \]

In the above expressions, the thermodynamic polynomials are expressed in dimensional units, but the temperature, \( t \), is divided by 1000. The following dimensions are assumed in the above expressions:

\( \tilde{c}_p^0(T)\) = Heat Capacity (J/gmol*K)
\( \tilde{h}^0(T) \) = standard Enthalpy (kJ/gmol)
\( \tilde{s}^0(T) \)= standard Entropy (J/gmol*K)
\( t \)= temperature (K) / 1000.

For more information about Shomate polynomials, see the NIST website, http://webbook.nist.gov/

Before being used within Cantera, the dimensions must be adjusted to those used by Cantera (i.e., Joules and kmol).

This function uses two temperature regions, each with a Shomate polynomial representation to represent the thermo functions. There are 15 coefficients, therefore, in this representation. The first coefficient is the midrange temperature.

Definition at line 312 of file ShomatePoly.h.

Constructor & Destructor Documentation

ShomatePoly2 ( )

inline

Empty constructor.

Definition at line 316 of file ShomatePoly.h.

References ShomatePoly2::m_coeff.

ShomatePoly2	(	size_t	n,
		doublereal	tlow,
		doublereal	thigh,
		doublereal	pref,
		const doublereal *	coeffs
	)

inline

Constructor used in templated instantiations.

Parameters

n	Species index
tlow	Minimum temperature
thigh	Maximum temperature
pref	reference pressure (Pa).
coeffs	Vector of coefficients used to set the parameters for the standard state. There are 15 coefficients for the 2-zone Shomate polynomial. The first coefficient is the value of Tmid. The next 7 coefficients are the low temperature range Shomate coefficients. The last 7 are the high temperature range Shomate coefficients.

Deprecated:: Use the constructor that does not require the species index. To be removed after Cantera 2.2.

Definition at line 337 of file ShomatePoly.h.

ShomatePoly2	(	double	tlow,
		double	thigh,
		double	pref,
		const double *	coeffs
	)

inline

Normal constructor.

Parameters

tlow	Minimum temperature
thigh	Maximum temperature
pref	reference pressure (Pa).
coeffs	Vector of coefficients used to set the parameters for the standard state. [Tmid, 7 low-T coeffs, 7 high-T coeffs]

Definition at line 355 of file ShomatePoly.h.

ShomatePoly2 ( const ShomatePoly2 & b )

inline

Copy constructor.

Parameters

b	object to be copied.

Definition at line 368 of file ShomatePoly.h.

Member Function Documentation

ShomatePoly2& operator= ( const ShomatePoly2 & b )

inline

Assignment operator.

Parameters

b	object to be copied.

Definition at line 381 of file ShomatePoly.h.

References ShomatePoly2::m_coeff, ShomatePoly2::m_midT, ShomatePoly2::msp_high, and ShomatePoly2::msp_low.

virtual int reportType ( ) const

inlinevirtual

Returns an integer representing the type of parameterization.

Implements SpeciesThermoInterpType.

Definition at line 398 of file ShomatePoly.h.

References SHOMATE2.

virtual void setIndex ( size_t index )

inlinevirtual

Deprecated:

Reimplemented from SpeciesThermoInterpType.

Definition at line 402 of file ShomatePoly.h.

References ShomatePoly2::msp_high, ShomatePoly2::msp_low, and SpeciesThermoInterpType::setIndex().

virtual size_t temperaturePolySize ( ) const

inlinevirtual

Number of terms in the temperature polynomial for this parameterization.

Reimplemented from SpeciesThermoInterpType.

Definition at line 408 of file ShomatePoly.h.

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

inlinevirtual

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

Reimplemented from SpeciesThermoInterpType.

Definition at line 410 of file ShomatePoly.h.

References ShomatePoly2::msp_low, and ShomatePoly::updateTemperaturePoly().

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

inlinevirtual

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.

Temperature Polynomial:

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

Parameters

tt	vector of temperature polynomials
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 434 of file ShomatePoly.h.

References ShomatePoly2::m_midT, ShomatePoly2::msp_high, ShomatePoly2::msp_low, and ShomatePoly::updateProperties().

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

inlinevirtual

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, Pref of one of the species. The species index is used to reference into the cp_R, h_RT, and s_R arrays.

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).

Implements SpeciesThermoInterpType.

Definition at line 445 of file ShomatePoly.h.

References ShomatePoly2::m_midT, ShomatePoly2::msp_high, ShomatePoly2::msp_low, and ShomatePoly::updatePropertiesTemp().

virtual void reportParameters	(	size_t &	index,
		int &	type,
		doublereal &	minTemp,
		doublereal &	maxTemp,
		doublereal &	refPressure,
		doublereal *const	coeffs
	)		const

inlinevirtual

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

All parameters are output variables

Parameters

index	Species index
type	Integer type of the standard type
minTemp	output - Minimum temperature
maxTemp	output - Maximum temperature
refPressure	output - reference pressure (Pa).
coeffs	Vector of coefficients used to set the parameters for the standard state.

Implements SpeciesThermoInterpType.

Definition at line 456 of file ShomatePoly.h.

References ShomatePoly2::m_coeff, SpeciesThermoInterpType::m_highT, SpeciesThermoInterpType::m_index, SpeciesThermoInterpType::m_lowT, SpeciesThermoInterpType::m_Pref, and SHOMATE2.

virtual void modifyParameters ( doublereal * coeffs )

inlinevirtual

Modify parameters for the standard state.

Here, we take the tact that we will just regenerate the object.

Parameters

coeffs Vector of coefficients used to set the parameters for the standard state.

Reimplemented from SpeciesThermoInterpType.

Definition at line 477 of file ShomatePoly.h.

References ShomatePoly2::m_coeff, SpeciesThermoInterpType::m_highT, SpeciesThermoInterpType::m_index, SpeciesThermoInterpType::m_lowT, ShomatePoly2::m_midT, SpeciesThermoInterpType::m_Pref, ShomatePoly2::msp_high, and ShomatePoly2::msp_low.

virtual doublereal reportHf298 ( doublereal *const h298 = 0 ) const

inlinevirtual

Report the 298 K Heat of Formation of the standard state of one species (J kmol-1)

The 298K Heat of Formation is defined as the enthalpy change to create the standard state of the species from its constituent elements in their standard states at 298 K and 1 bar.

Parameters

h298	If this is nonnull, the current value of the Heat of Formation at 298K and 1 bar for species m_speciesIndex is returned in h298[m_speciesIndex].

Returns: Returns the current value of the Heat of Formation at 298K and 1 bar for species m_speciesIndex.

Reimplemented from SpeciesThermoInterpType.

Definition at line 484 of file ShomatePoly.h.

References SpeciesThermoInterpType::m_index, ShomatePoly2::m_midT, ShomatePoly2::msp_high, ShomatePoly2::msp_low, and ShomatePoly::reportHf298().

Referenced by ShomatePoly2::modifyOneHf298().

virtual void modifyOneHf298	(	const size_t	k,
		const doublereal	Hf298New
	)

inlinevirtual

Modify the value of the 298 K Heat of Formation of one species in the phase (J kmol-1)

The 298K heat of formation is defined as the enthalpy change to create the standard state of the species from its constituent elements in their standard states at 298 K and 1 bar.

Parameters