Package Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions
Functions to find the current region for given pairs of input variables

Information

Package description

Package Regions contains a large number of auxiliary functions which are needed to compute the current region of the IAPWS/IF97 for a given pair of input variables as quickly as possible. The focus of this implementation was on computational efficiency, not on compact code. Many of the function values calculated in these functions could be obtained using the fundamental functions of IAPWS/IF97, but with considerable overhead. If the region of IAPWS/IF97 is known in advance, the input variable mode can be set to the region, then the somewhat costly region checks are omitted. The checking for the phase has to be done outside the region functions because many properties are not differentiable at the region boundary. If the input phase is 2, the output region will be set to 4 immediately.

Package contents

The main 4 functions in this package are the functions returning the appropriate region for two input variables.

Function region_ph compute the region of IAPWS/IF97 for input pair pressure and specific enthalpy.
Function region_ps compute the region of IAPWS/IF97 for input pair pressure and specific entropy
Function region_dT compute the region of IAPWS/IF97 for input pair density and temperature.
Function region_pT compute the region of IAPWS/IF97 for input pair pressure and temperature (only in phase region).

In addition, functions of the boiling and condensation curves compute the specific enthalpy, specific entropy, or density on these curves. The functions for the saturation pressure and temperature are included in the package Basic because they are part of the original IAPWS/IF97 standards document. These functions are also aliased to be used directly from package Water.

Function hl_p computes the liquid specific enthalpy as a function of pressure. For overcritical pressures, the critical specific enthalpy is returned. An approximation is used for temperatures > 623.15 K.
Function hv_p computes the vapour specific enthalpy as a function of pressure. For overcritical pressures, the critical specific enthalpy is returned. An approximation is used for temperatures > 623.15 K.
Function sl_p computes the liquid specific entropy as a function of pressure. For overcritical pressures, the critical specific entropy is returned. An approximation is used for temperatures > 623.15 K.
Function sv_p computes the vapour specific entropy as a function of pressure. For overcritical pressures, the critical specific entropy is returned. An approximation is used for temperatures > 623.15 K.
Function rhol_T computes the liquid density as a function of temperature. For overcritical temperatures, the critical density is returned. An approximation is used for temperatures > 623.15 K.
Function rhol_T computes the vapour density as a function of temperature. For overcritical temperatures, the critical density is returned. An approximation is used for temperatures > 623.15 K.

All other functions are auxiliary functions called from the region functions to check a specific boundary.

Function boundary23ofT computes the boundary pressure between regions 2 and 3 (input temperature)
Function boundary23ofp computes the boundary temperature between regions 2 and 3 (input pressure)
Function hlowerofp5 computes the lower specific enthalpy limit of region 5 (input p, T=1073.15 K)
Function hupperofp5 computes the upper specific enthalpy limit of region 5 (input p, T=2273.15 K)
Function slowerofp5 computes the lower specific entropy limit of region 5 (input p, T=1073.15 K)
Function supperofp5 computes the upper specific entropy limit of region 5 (input p, T=2273.15 K)
Function hlowerofp1 computes the lower specific enthalpy limit of region 1 (input p, T=273.15 K)
Function hupperofp1 computes the upper specific enthalpy limit of region 1 (input p, T=623.15 K)
Function slowerofp1 computes the lower specific entropy limit of region 1 (input p, T=273.15 K)
Function supperofp1 computes the upper specific entropy limit of region 1 (input p, T=623.15 K)
Function hlowerofp2 computes the lower specific enthalpy limit of region 2 (input p, T=623.15 K)
Function hupperofp2 computes the upper specific enthalpy limit of region 2 (input p, T=1073.15 K)
Function slowerofp2 computes the lower specific entropy limit of region 2 (input p, T=623.15 K)
Function supperofp2 computes the upper specific entropy limit of region 2 (input p, T=1073.15 K)
Function d1n computes the density in region 1 as function of pressure and temperature
Function d2n computes the density in region 2 as function of pressure and temperature
Function dhot1ofp computes the hot density limit of region 1 (input p, T=623.15 K)
Function dupper1ofTcomputes the high pressure density limit of region 1 (input T, p=100MPa)
Function hl_p_R4b computes a high accuracy approximation to the liquid enthalpy for temperatures > 623.15 K (input p)
Function hv_p_R4b computes a high accuracy approximation to the vapour enthalpy for temperatures > 623.15 K (input p)
Function sl_p_R4b computes a high accuracy approximation to the liquid entropy for temperatures > 623.15 K (input p)
Function sv_p_R4b computes a high accuracy approximation to the vapour entropy for temperatures > 623.15 K (input p)
Function rhol_p_R4b computes a high accuracy approximation to the liquid density for temperatures > 623.15 K (input p)
Function rhov_p_R4b computes a high accuracy approximation to the vapour density for temperatures > 623.15 K (input p)

Version Info and Revision history

First implemented: July, 2000 by Hubertus Tummescheit

Authors: Hubertus Tummescheit, Jonas Eborn and Falko Jens Wagner
Modelon AB
Ideon Science Park
SE-22370 Lund, Sweden
email: hubertus@modelon.se

Initial version: July 2000
Revised and extended for inclusion in Modelica.Thermal: December 2002

Extends from Modelica.Icons.FunctionsPackage (Icon for packages containing functions).

Package Contents

Name	Description
`boilingcurve_p`	Properties on the boiling curve
`boundary23ofp`	Boundary function for region boundary between regions 2 and 3 (input pressure)
`boundary23ofT`	Boundary function for region boundary between regions 2 and 3 (input temperature)
`d1n`	Density in region 1 as function of p and T
`d2n`	Density in region 2 as function of p and T
`dewcurve_p`	Properties on the dew curve
`dhl_dp`	Derivative of liquid specific enthalpy on the boundary between regions 4 and 3 or 1 w.r.t. pressure
`dhot1ofp`	Density at upper temperature limit of region 1
`dhv_dp`	Derivative of vapour specific enthalpy on the boundary between regions 4 and 3 or 1 w.r.t. pressure
`drhol_dp`	Derivative of density of saturated water w.r.t. pressure
`drhov_dp`	Derivative of density of saturated steam w.r.t. pressure
`drhovl_dp`
`dupper1ofT`	Density at upper pressure limit of region 1
`hl_p`	Liquid specific enthalpy on the boundary between regions 4 and 3 or 1
`hl_p_R4b`	Explicit approximation of liquid specific enthalpy on the boundary between regions 4 and 3
`hlowerofp1`	Explicit lower specific enthalpy limit of region 1 as function of pressure
`hlowerofp2`	Explicit lower specific enthalpy limit of region 2 as function of pressure (meets region 4 saturation pressure curve at 623.15 K)
`hlowerofp5`	Explicit lower specific enthalpy limit of region 5 as function of pressure
`hupperofp1`	Explicit upper specific enthalpy limit of region 1 as function of pressure (meets region 4 saturation pressure curve at 623.15 K)
`hupperofp2`	Explicit upper specific enthalpy limit of region 2 as function of pressure
`hupperofp5`	Explicit upper specific enthalpy limit of region 5 as function of pressure
`hv_p`	Vapour specific enthalpy on the boundary between regions 4 and 3 or 2
`hv_p_R4b`	Explicit approximation of vapour specific enthalpy on the boundary between regions 4 and 3
`hvl_dp`	Derivative function for the specific enthalpy along the phase boundary
`hvl_p`
`hvl_p_der`	Derivative function for the specific enthalpy along the phase boundary
`region_dT`	Return the current region (valid values: 1,2,3,4,5) in IF97, given density and temperature
`region_ph`	Return the current region (valid values: 1,2,3,4,5) in IF97 for given pressure and specific enthalpy
`region_ps`	Return the current region (valid values: 1,2,3,4,5) in IF97 for given pressure and specific entropy
`region_pT`	Return the current region (valid values: 1,2,3,5) in IF97, given pressure and temperature
`rhol_p`	Density of saturated water
`rhol_p_R4b`	Explicit approximation of liquid density on the boundary between regions 4 and 3
`rhol_T`	Density of saturated water
`rhov_p`	Density of saturated vapour
`rhov_p_R4b`	Explicit approximation of vapour density on the boundary between regions 4 and 2
`rhov_T`	Density of saturated vapour
`rhovl_p`
`rhovl_p_der`
`sl_p`	Liquid specific entropy on the boundary between regions 4 and 3 or 1
`sl_p_R4b`	Explicit approximation of liquid specific entropy on the boundary between regions 4 and 3
`slowerofp1`	Explicit lower specific entropy limit of region 1 as function of pressure
`slowerofp2`	Explicit lower specific entropy limit of region 2 as function of pressure (meets region 4 saturation pressure curve at 623.15 K)
`slowerofp5`	Explicit lower specific entropy limit of region 5 as function of pressure
`supperofp1`	Explicit upper specific entropy limit of region 1 as function of pressure (meets region 4 saturation pressure curve at 623.15 K)
`supperofp2`	Explicit upper specific entropy limit of region 2 as function of pressure
`supperofp5`	Explicit upper specific entropy limit of region 5 as function of pressure
`sv_p`	Vapour specific entropy on the boundary between regions 4 and 3 or 2
`sv_p_R4b`	Explicit approximation of vapour specific entropy on the boundary between regions 4 and 3

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.boundary23ofT
Boundary function for region boundary between regions 2 and 3 (input temperature)

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Temperature`	`t`	Temperature (K)

Outputs

Type	Name	Description
`Pressure`	`p`	Pressure

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.boundary23ofp
Boundary function for region boundary between regions 2 and 3 (input pressure)

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`Temperature`	`t`	Temperature (K)

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hlowerofp5
Explicit lower specific enthalpy limit of region 5 as function of pressure

Information

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Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`SpecificEnthalpy`	`h`	Specific enthalpy

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hupperofp5
Explicit upper specific enthalpy limit of region 5 as function of pressure

Information

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Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`SpecificEnthalpy`	`h`	Specific enthalpy

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.slowerofp5
Explicit lower specific entropy limit of region 5 as function of pressure

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`SpecificEntropy`	`s`	Specific entropy

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.supperofp5
Explicit upper specific entropy limit of region 5 as function of pressure

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`SpecificEntropy`	`s`	Specific entropy

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hlowerofp1
Explicit lower specific enthalpy limit of region 1 as function of pressure

Information

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Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`SpecificEnthalpy`	`h`	Specific enthalpy

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hupperofp1
Explicit upper specific enthalpy limit of region 1 as function of pressure (meets region 4 saturation pressure curve at 623.15 K)

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`SpecificEnthalpy`	`h`	Specific enthalpy

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.slowerofp1
Explicit lower specific entropy limit of region 1 as function of pressure

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`SpecificEntropy`	`s`	Specific entropy

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.supperofp1
Explicit upper specific entropy limit of region 1 as function of pressure (meets region 4 saturation pressure curve at 623.15 K)

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`SpecificEntropy`	`s`	Specific entropy

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hlowerofp2
Explicit lower specific enthalpy limit of region 2 as function of pressure (meets region 4 saturation pressure curve at 623.15 K)

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`SpecificEnthalpy`	`h`	Specific enthalpy

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hupperofp2
Explicit upper specific enthalpy limit of region 2 as function of pressure

Information

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Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`SpecificEnthalpy`	`h`	Specific enthalpy

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.slowerofp2
Explicit lower specific entropy limit of region 2 as function of pressure (meets region 4 saturation pressure curve at 623.15 K)

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`SpecificEntropy`	`s`	Specific entropy

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.supperofp2
Explicit upper specific entropy limit of region 2 as function of pressure

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`SpecificEntropy`	`s`	Specific entropy

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.d1n
Density in region 1 as function of p and T

Information

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Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure
`Temperature`	`T`	Temperature (K)

Outputs

Type	Name	Description
`Density`	`d`	Density

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.d2n
Density in region 2 as function of p and T

Information

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Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure
`Temperature`	`T`	Temperature (K)

Outputs

Type	Name	Description
`Density`	`d`	Density

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.dhot1ofp
Density at upper temperature limit of region 1

Information

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Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`Density`	`d`	Density

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.dupper1ofT
Density at upper pressure limit of region 1

Information

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Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Temperature`	`T`	Temperature (K)

Outputs

Type	Name	Description
`Density`	`d`	Density

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hl_p_R4b
Explicit approximation of liquid specific enthalpy on the boundary between regions 4 and 3

Information

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Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`SpecificEnthalpy`	`h`	Specific enthalpy

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hv_p_R4b
Explicit approximation of vapour specific enthalpy on the boundary between regions 4 and 3

Information

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Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`SpecificEnthalpy`	`h`	Specific enthalpy

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.sl_p_R4b
Explicit approximation of liquid specific entropy on the boundary between regions 4 and 3

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`SpecificEntropy`	`s`	Specific entropy

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.sv_p_R4b
Explicit approximation of vapour specific entropy on the boundary between regions 4 and 3

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`SpecificEntropy`	`s`

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.rhol_p_R4b
Explicit approximation of liquid density on the boundary between regions 4 and 3

Information

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Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`Density`	`dl`	Liquid density

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.rhov_p_R4b
Explicit approximation of vapour density on the boundary between regions 4 and 2

Information

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Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`Density`	`dv`	Vapour density

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.boilingcurve_p
Properties on the boiling curve

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`IF97PhaseBoundaryProperties`	`bpro`	Property record

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.dewcurve_p
Properties on the dew curve

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`IF97PhaseBoundaryProperties`	`bpro`	Property record

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hvl_p
Icon for functions

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure
`IF97PhaseBoundaryProperties`	`bpro`	Property record

Outputs

Type	Name	Description
`SpecificEnthalpy`	`h`	Specific enthalpy

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hl_p
Liquid specific enthalpy on the boundary between regions 4 and 3 or 1

Information

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Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`SpecificEnthalpy`	`h`	Specific enthalpy

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hv_p
Vapour specific enthalpy on the boundary between regions 4 and 3 or 2

Information

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Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`SpecificEnthalpy`	`h`	Specific enthalpy

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hvl_p_der
Derivative function for the specific enthalpy along the phase boundary

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure
`IF97PhaseBoundaryProperties`	`bpro`	Property record
`Real`	`p_der`	Derivative of pressure

Outputs

Type	Name	Description
`Real`	`h_der`	Time derivative of specific enthalpy along the phase boundary

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.rhovl_p
Icon for functions

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure
`IF97PhaseBoundaryProperties`	`bpro`	Property record

Outputs

Type	Name	Description
`Density`	`rho`	Density

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.rhol_p
Density of saturated water

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Saturation pressure

Outputs

Type	Name	Description
`Density`	`rho`	Density of steam at the condensation point

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.rhov_p
Density of saturated vapour

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Saturation pressure

Outputs

Type	Name	Description
`Density`	`rho`	Density of steam at the condensation point

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.rhovl_p_der
Icon for functions

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Saturation pressure
`IF97PhaseBoundaryProperties`	`bpro`	Property record
`Real`	`p_der`	Derivative of pressure

Outputs

Type	Name	Description
`Real`	`d_der`	Time derivative of density along the phase boundary

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.sl_p
Liquid specific entropy on the boundary between regions 4 and 3 or 1

Information

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Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`SpecificEntropy`	`s`	Specific entropy

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.sv_p
Vapour specific entropy on the boundary between regions 4 and 3 or 2

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`SpecificEntropy`	`s`	Specific entropy

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.rhol_T
Density of saturated water

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Temperature`	`T`	Temperature

Outputs

Type	Name	Description
`Density`	`d`	Density of water at the boiling point

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.rhov_T
Density of saturated vapour

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Temperature`	`T`	Temperature

Outputs

Type	Name	Description
`Density`	`d`	Density of steam at the condensation point

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.region_ph
Return the current region (valid values: 1,2,3,4,5) in IF97 for given pressure and specific enthalpy

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure
`SpecificEnthalpy`	`h`	Specific enthalpy
`Integer`	`phase`	Phase: 2 for two-phase, 1 for one phase, 0 if not known
`Integer`	`mode`	Mode: 0 means check, otherwise assume region=mode

Outputs

Type	Name	Description
`Integer`	`region`	Region (valid values: 1,2,3,4,5) in IF97

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.region_ps
Return the current region (valid values: 1,2,3,4,5) in IF97 for given pressure and specific entropy

Information

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Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure
`SpecificEntropy`	`s`	Specific entropy
`Integer`	`phase`	Phase: 2 for two-phase, 1 for one phase, 0 if unknown
`Integer`	`mode`	Mode: 0 means check, otherwise assume region=mode

Outputs

Type	Name	Description
`Integer`	`region`	Region (valid values: 1,2,3,4,5) in IF97

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.region_pT
Return the current region (valid values: 1,2,3,5) in IF97, given pressure and temperature

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure
`Temperature`	`T`	Temperature (K)
`Integer`	`mode`	Mode: 0 means check, otherwise assume region=mode

Outputs

Type	Name	Description
`Integer`	`region`	Region (valid values: 1,2,3,5) in IF97, region 4 is impossible!

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.region_dT
Return the current region (valid values: 1,2,3,4,5) in IF97, given density and temperature

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Density`	`d`	Density
`Temperature`	`T`	Temperature (K)
`Integer`	`phase`	Phase: 2 for two-phase, 1 for one phase, 0 if not known
`Integer`	`mode`	Mode: 0 means check, otherwise assume region=mode

Outputs

Type	Name	Description
`Integer`	`region`	(valid values: 1,2,3,4,5) in IF97

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hvl_dp
Derivative function for the specific enthalpy along the phase boundary

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure
`IF97PhaseBoundaryProperties`	`bpro`	Property record

Outputs

Type	Name	Description
`Real`	`dh_dp`	Derivative of specific enthalpy along the phase boundary

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.dhl_dp
Derivative of liquid specific enthalpy on the boundary between regions 4 and 3 or 1 w.r.t. pressure

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`DerEnthalpyByPressure`	`dh_dp`	Specific enthalpy derivative w.r.t. pressure

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.dhv_dp
Derivative of vapour specific enthalpy on the boundary between regions 4 and 3 or 1 w.r.t. pressure

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Pressure

Outputs

Type	Name	Description
`DerEnthalpyByPressure`	`dh_dp`	Specific enthalpy derivative w.r.t. pressure

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.drhovl_dp
Icon for functions

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Saturation pressure
`IF97PhaseBoundaryProperties`	`bpro`	Property record

Outputs

Type	Name	Description
`Real`	`dd_dp`	Derivative of density along the phase boundary

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.drhol_dp
Derivative of density of saturated water w.r.t. pressure

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Saturation pressure

Outputs

Type	Name	Description
`DerDensityByPressure`	`dd_dp`	Derivative of density of water at the boiling point

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.drhov_dp
Derivative of density of saturated steam w.r.t. pressure

Information

This icon indicates Modelica functions.

Extends from Modelica.Icons.Function (Icon for functions).

Inputs

Type	Name	Description
`Pressure`	`p`	Saturation pressure

Outputs

Type	Name	Description
`DerDensityByPressure`	`dd_dp`	Derivative of density of water at the boiling point

Package Modelica.​Media.​Water.​IF97_Utilities.​BaseIF97.​RegionsFunctions to find the current region for given pairs of input variables

Information

Package description

Package contents

Version Info and Revision history

Package Contents

Function Modelica.​Media.​Water.​IF97_Utilities.​BaseIF97.​Regions.​boundary23ofTBoundary function for region boundary between regions 2 and 3 (input temperature)

Information

Inputs

Outputs

Function Modelica.​Media.​Water.​IF97_Utilities.​BaseIF97.​Regions.​boundary23ofpBoundary function for region boundary between regions 2 and 3 (input pressure)

Information

Inputs

Outputs

Function Modelica.​Media.​Water.​IF97_Utilities.​BaseIF97.​Regions.​hlowerofp5Explicit lower specific enthalpy limit of region 5 as function of pressure

Information

Inputs

Outputs

Function Modelica.​Media.​Water.​IF97_Utilities.​BaseIF97.​Regions.​hupperofp5Explicit upper specific enthalpy limit of region 5 as function of pressure

Information

Inputs

Outputs

Function Modelica.​Media.​Water.​IF97_Utilities.​BaseIF97.​Regions.​slowerofp5Explicit lower specific entropy limit of region 5 as function of pressure

Information

Inputs

Outputs

Function Modelica.​Media.​Water.​IF97_Utilities.​BaseIF97.​Regions.​supperofp5Explicit upper specific entropy limit of region 5 as function of pressure

Information

Inputs

Outputs

Function Modelica.​Media.​Water.​IF97_Utilities.​BaseIF97.​Regions.​hlowerofp1Explicit lower specific enthalpy limit of region 1 as function of pressure

Information

Inputs

Outputs

Function Modelica.​Media.​Water.​IF97_Utilities.​BaseIF97.​Regions.​hupperofp1Explicit upper specific enthalpy limit of region 1 as function of pressure (meets region 4 saturation pressure curve at 623.15 K)

Information

Inputs

Outputs

Function Modelica.​Media.​Water.​IF97_Utilities.​BaseIF97.​Regions.​slowerofp1Explicit lower specific entropy limit of region 1 as function of pressure

Information

Inputs

Outputs

Function Modelica.​Media.​Water.​IF97_Utilities.​BaseIF97.​Regions.​supperofp1Explicit upper specific entropy limit of region 1 as function of pressure (meets region 4 saturation pressure curve at 623.15 K)

Information

Inputs

Outputs

Function Modelica.​Media.​Water.​IF97_Utilities.​BaseIF97.​Regions.​hlowerofp2Explicit lower specific enthalpy limit of region 2 as function of pressure (meets region 4 saturation pressure curve at 623.15 K)

Information

Inputs

Outputs

Function Modelica.​Media.​Water.​IF97_Utilities.​BaseIF97.​Regions.​hupperofp2Explicit upper specific enthalpy limit of region 2 as function of pressure

Information

Inputs

Outputs

Function Modelica.​Media.​Water.​IF97_Utilities.​BaseIF97.​Regions.​slowerofp2Explicit lower specific entropy limit of region 2 as function of pressure (meets region 4 saturation pressure curve at 623.15 K)

Information

Inputs

Outputs

Function Modelica.​Media.​Water.​IF97_Utilities.​BaseIF97.​Regions.​supperofp2Explicit upper specific entropy limit of region 2 as function of pressure

Information

Inputs

Outputs

Function Modelica.​Media.​Water.​IF97_Utilities.​BaseIF97.​Regions.​d1nDensity in region 1 as function of p and T

Information

Inputs

Outputs

Function Modelica.​Media.​Water.​IF97_Utilities.​BaseIF97.​Regions.​d2nDensity in region 2 as function of p and T

Information

Inputs

Outputs

Function Modelica.​Media.​Water.​IF97_Utilities.​BaseIF97.​Regions.​dhot1ofpDensity at upper temperature limit of region 1

Information

Inputs

Outputs

Function Modelica.​Media.​Water.​IF97_Utilities.​BaseIF97.​Regions.​dupper1ofTDensity at upper pressure limit of region 1

Information

Inputs

Outputs

Function Modelica.​Media.​Water.​IF97_Utilities.​BaseIF97.​Regions.​hl_p_R4bExplicit approximation of liquid specific enthalpy on the boundary between regions 4 and 3

Information

Package Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions
Functions to find the current region for given pairs of input variables

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.boundary23ofT
Boundary function for region boundary between regions 2 and 3 (input temperature)

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.boundary23ofp
Boundary function for region boundary between regions 2 and 3 (input pressure)

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hlowerofp5
Explicit lower specific enthalpy limit of region 5 as function of pressure

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hupperofp5
Explicit upper specific enthalpy limit of region 5 as function of pressure

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.slowerofp5
Explicit lower specific entropy limit of region 5 as function of pressure

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.supperofp5
Explicit upper specific entropy limit of region 5 as function of pressure

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hlowerofp1
Explicit lower specific enthalpy limit of region 1 as function of pressure

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hupperofp1
Explicit upper specific enthalpy limit of region 1 as function of pressure (meets region 4 saturation pressure curve at 623.15 K)

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.slowerofp1
Explicit lower specific entropy limit of region 1 as function of pressure

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.supperofp1
Explicit upper specific entropy limit of region 1 as function of pressure (meets region 4 saturation pressure curve at 623.15 K)

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hlowerofp2
Explicit lower specific enthalpy limit of region 2 as function of pressure (meets region 4 saturation pressure curve at 623.15 K)

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hupperofp2
Explicit upper specific enthalpy limit of region 2 as function of pressure

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.slowerofp2
Explicit lower specific entropy limit of region 2 as function of pressure (meets region 4 saturation pressure curve at 623.15 K)

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.supperofp2
Explicit upper specific entropy limit of region 2 as function of pressure

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.d1n
Density in region 1 as function of p and T

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.d2n
Density in region 2 as function of p and T

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.dhot1ofp
Density at upper temperature limit of region 1

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.dupper1ofT
Density at upper pressure limit of region 1

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hl_p_R4b
Explicit approximation of liquid specific enthalpy on the boundary between regions 4 and 3

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hv_p_R4b
Explicit approximation of vapour specific enthalpy on the boundary between regions 4 and 3

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.sl_p_R4b
Explicit approximation of liquid specific entropy on the boundary between regions 4 and 3

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.sv_p_R4b
Explicit approximation of vapour specific entropy on the boundary between regions 4 and 3

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.rhol_p_R4b
Explicit approximation of liquid density on the boundary between regions 4 and 3

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.rhov_p_R4b
Explicit approximation of vapour density on the boundary between regions 4 and 2

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.boilingcurve_p
Properties on the boiling curve

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.dewcurve_p
Properties on the dew curve

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hvl_p
Icon for functions

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hl_p
Liquid specific enthalpy on the boundary between regions 4 and 3 or 1

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hv_p
Vapour specific enthalpy on the boundary between regions 4 and 3 or 2

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.hvl_p_der
Derivative function for the specific enthalpy along the phase boundary

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.rhovl_p
Icon for functions

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.rhol_p
Density of saturated water

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.rhov_p
Density of saturated vapour

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.rhovl_p_der
Icon for functions

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.sl_p
Liquid specific entropy on the boundary between regions 4 and 3 or 1

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.sv_p
Vapour specific entropy on the boundary between regions 4 and 3 or 2

Function Modelica.Media.Water.IF97_Utilities.BaseIF97.Regions.rhol_T
Density of saturated water