Package TwoPhase provides functions to compute the steam properties in the two-phase region and on the phase boundaries
Extends from Modelica.Icons.Library (Icon for library).
Name | Description |
---|---|
waterLiq_p | properties on the liquid phase boundary of region 4 |
waterVap_p | properties on the vapour phase boundary of region 4 |
waterSat_ph | Water saturation properties in the 2-phase region (4) as f(p,h) |
waterR4_ph | Water/Steam properties in region 4 of IAPWS/IF97 (two-phase) |
waterR4_dT | Water properties in region 4 as function of d and T |
Type | Name | Default | Description |
---|---|---|---|
Pressure | p | pressure [Pa] |
Type | Name | Description |
---|---|---|
PhaseBoundaryProperties | liq | liquid thermodynamic property collection |
function waterLiq_p "properties on the liquid phase boundary of region 4" extends Modelica.Icons.Function; input SI.Pressure p "pressure"; output Modelica.Media.Common.PhaseBoundaryProperties liq "liquid thermodynamic property collection"; protected SI.Temperature Tsat "saturation temperature"; Real dpT "derivative of saturation pressure wrt temperature"; SI.Density dl "liquid density"; Modelica.Media.Common.GibbsDerivs g "dimensionless Gibbs funcion and dervatives wrt pi and tau"; Modelica.Media.Common.HelmholtzDerivs f "dimensionless Helmholtz function and dervatives wrt delta and tau"; algorithm Tsat := Basic.tsat(p); dpT := Basic.dptofT(Tsat); if p < data.PLIMIT4A then g := Basic.g1(p, Tsat); liq := Modelica.Media.Common.gibbsToBoundaryProps(g); else dl := Regions.rhol_p_R4b(p); f := Basic.f3(dl, Tsat); liq := Modelica.Media.Common.helmholtzToBoundaryProps(f); end if; end waterLiq_p;
Type | Name | Default | Description |
---|---|---|---|
Pressure | p | pressure [Pa] |
Type | Name | Description |
---|---|---|
PhaseBoundaryProperties | vap | vapour thermodynamic property collection |
function waterVap_p "properties on the vapour phase boundary of region 4" extends Modelica.Icons.Function; input SI.Pressure p "pressure"; output Modelica.Media.Common.PhaseBoundaryProperties vap "vapour thermodynamic property collection"; protected SI.Temperature Tsat "saturation temperature"; Real dpT "derivative of saturation pressure wrt temperature"; SI.Density dv "vapour density"; Modelica.Media.Common.GibbsDerivs g "dimensionless Gibbs funcion and dervatives wrt pi and tau"; Modelica.Media.Common.HelmholtzDerivs f "dimensionless Helmholtz function and dervatives wrt delta and tau"; algorithm Tsat := Basic.tsat(p); dpT := Basic.dptofT(Tsat); if p < data.PLIMIT4A then g := Basic.g2(p, Tsat); vap := Modelica.Media.Common.gibbsToBoundaryProps(g); else dv := Regions.rhov_p_R4b(p); f := Basic.f3(dv, Tsat); vap := Modelica.Media.Common.helmholtzToBoundaryProps(f); end if; end waterVap_p;
Type | Name | Default | Description |
---|---|---|---|
Pressure | p | pressure [Pa] | |
SpecificEnthalpy | h | specific enthalpy [J/kg] |
Type | Name | Description |
---|---|---|
SaturationProperties | pro | thermodynamic property collection |
function waterSat_ph "Water saturation properties in the 2-phase region (4) as f(p,h)" extends Modelica.Icons.Function; input SI.Pressure p "pressure"; input SI.SpecificEnthalpy h "specific enthalpy"; output Modelica.Media.Common.SaturationProperties pro "thermodynamic property collection"; protected SI.Density dl "liquid density"; SI.Density dv "vapour density"; Modelica.Media.Common.GibbsDerivs gl "dimensionless Gibbs funcion and dervatives wrt pi and tau"; Modelica.Media.Common.GibbsDerivs gv "dimensionless Gibbs funcion and dervatives wrt pi and tau"; Modelica.Media.Common.HelmholtzDerivs fl "dimensionless Helmholtz function and dervatives wrt delta and tau"; Modelica.Media.Common.HelmholtzDerivs fv "dimensionless Helmholtz function and dervatives wrt delta and tau"; algorithm pro.h := h; pro.p := p; pro.T := Basic.tsat(p); pro.dpT := Basic.dptofT(pro.T); if p < data.PLIMIT4A then gl := Basic.g1(p, pro.T); gv := Basic.g2(p, pro.T); pro.liq := Modelica.Media.Common.gibbsToBoundaryProps(gl); pro.vap := Modelica.Media.Common.gibbsToBoundaryProps(gv); else dl := Regions.rhol_p_R4b(p); dv := Regions.rhov_p_R4b(p); fl := Basic.f3(dl, pro.T); fv := Basic.f3(dv, pro.T); pro.liq := Modelica.Media.Common.helmholtzToBoundaryProps(fl); pro.vap := Modelica.Media.Common.helmholtzToBoundaryProps(fv); end if; pro.x := if (h < pro.liq.h) then 0.0 else if (pro.vap.h <> pro.liq.h) then (h - pro.liq.h)/(pro.vap.h - pro.liq.h) else 1.0; pro.d := pro.liq.d*pro.vap.d/(pro.vap.d + pro.x*(pro.liq.d - pro.vap.d)); pro.u := pro.x*pro.vap.u + (1 - pro.x)*pro.liq.u; pro.s := pro.x*pro.vap.s + (1 - pro.x)*pro.liq.s; pro.cp := Modelica.Constants.inf; pro.cv := Modelica.Media.Common.cv2Phase(pro.liq, pro.vap, pro.x, pro.T, p); pro.kappa := 1/(pro.d*p)*pro.dpT*pro.dpT*pro.T/pro.cv; pro.R := data.RH2O; end waterSat_ph;
Type | Name | Default | Description |
---|---|---|---|
Pressure | p | pressure [Pa] | |
SpecificEnthalpy | h | specific enthalpy [J/kg] |
Type | Name | Description |
---|---|---|
ThermoProperties_ph | pro | thermodynamic property collection |
function waterR4_ph "Water/Steam properties in region 4 of IAPWS/IF97 (two-phase)" extends Modelica.Icons.Function; input SI.Pressure p "pressure"; input SI.SpecificEnthalpy h "specific enthalpy"; output Modelica.Media.Common.ThermoFluidSpecial.ThermoProperties_ph pro "thermodynamic property collection"; protected SI.Density dl "liquid density"; SI.Density dv "vapour density"; Modelica.Media.Common.PhaseBoundaryProperties liq "phase boundary property record"; Modelica.Media.Common.PhaseBoundaryProperties vap "phase boundary property record"; Modelica.Media.Common.GibbsDerivs gl "dimensionless Gibbs funcion and dervatives wrt pi and tau"; Modelica.Media.Common.GibbsDerivs gv "dimensionless Gibbs funcion and dervatives wrt pi and tau"; Modelica.Media.Common.HelmholtzDerivs fl "dimensionless Helmholtz function and dervatives wrt delta and tau"; Modelica.Media.Common.HelmholtzDerivs fv "dimensionless Helmholtz function and dervatives wrt delta and tau"; Real x "dryness fraction"; Real dpT "derivative of saturation curve"; algorithm pro.T := Basic.tsat(p); dpT := Basic.dptofT(pro.T); dl := Regions.rhol_p_R4b(p); dv := Regions.rhov_p_R4b(p); if p < data.PLIMIT4A then gl := Basic.g1(p, pro.T); gv := Basic.g2(p, pro.T); liq := Modelica.Media.Common.gibbsToBoundaryProps(gl); vap := Modelica.Media.Common.gibbsToBoundaryProps(gv); else fl := Basic.f3(dl, pro.T); fv := Basic.f3(dv, pro.T); liq := Modelica.Media.Common.helmholtzToBoundaryProps(fl); vap := Modelica.Media.Common.helmholtzToBoundaryProps(fv); end if; x := if (vap.h <> liq.h) then (h - liq.h)/(vap.h - liq.h) else 1.0; pro.d := liq.d*vap.d/(vap.d + x*(liq.d - vap.d)); pro.u := x*vap.u + (1 - x)*liq.u; pro.s := x*vap.s + (1 - x)*liq.s; pro.cp := Modelica.Constants.inf; pro.cv := Modelica.Media.Common.cv2Phase(liq, vap, x, pro.T, p); pro.kappa := 1/(pro.d*p)*dpT*dpT*pro.T/pro.cv; pro.a := Modelica.Constants.inf; pro.R := data.RH2O; pro.ddph := pro.d*(pro.d*pro.cv/dpT + 1.0)/(dpT*pro.T); pro.ddhp := -pro.d*pro.d/(dpT*pro.T); end waterR4_ph;
Type | Name | Default | Description |
---|---|---|---|
Density | d | Density [kg/m3] | |
Temperature | T | temperature [K] |
Type | Name | Description |
---|---|---|
ThermoProperties_dT | pro | thermodynamic property collection |
function waterR4_dT "Water properties in region 4 as function of d and T" extends Modelica.Icons.Function; input SI.Density d "Density"; input SI.Temperature T "temperature"; output Modelica.Media.Common.ThermoFluidSpecial.ThermoProperties_dT pro "thermodynamic property collection"; protected SI.Density dl "liquid density"; SI.Density dv "vapour density"; Modelica.Media.Common.PhaseBoundaryProperties liq "phase boundary property record"; Modelica.Media.Common.PhaseBoundaryProperties vap "phase boundary property record"; Modelica.Media.Common.GibbsDerivs gl "dimensionless Gibbs funcion and dervatives wrt pi and tau"; Modelica.Media.Common.GibbsDerivs gv "dimensionless Gibbs funcion and dervatives wrt pi and tau"; Modelica.Media.Common.HelmholtzDerivs fl "dimensionless Helmholtz function and dervatives wrt delta and tau"; Modelica.Media.Common.HelmholtzDerivs fv "dimensionless Helmholtz function and dervatives wrt delta and tau"; Real x "dryness fraction"; Real dpT "derivative of saturation curve"; algorithm pro.p := Basic.psat(T); dpT := Basic.dptofT(T); dl := Regions.rhol_p_R4b(pro.p); dv := Regions.rhov_p_R4b(pro.p); if pro.p < data.PLIMIT4A then gl := Basic.g1(pro.p, T); gv := Basic.g2(pro.p, T); liq := Modelica.Media.Common.gibbsToBoundaryProps(gl); vap := Modelica.Media.Common.gibbsToBoundaryProps(gv); else fl := Basic.f3(dl, T); fv := Basic.f3(dv, T); liq := Modelica.Media.Common.helmholtzToBoundaryProps(fl); vap := Modelica.Media.Common.helmholtzToBoundaryProps(fv); end if; x := if (vap.d <> liq.d) then (1/d - 1/liq.d)/(1/vap.d - 1/liq.d) else 1.0; pro.u := x*vap.u + (1 - x)*liq.u; pro.h := x*vap.h + (1 - x)*liq.h; pro.cp := Modelica.Constants.inf; pro.cv := Modelica.Media.Common.cv2Phase(liq, vap, x, T, pro.p); pro.kappa := 1/(d*pro.p)*dpT*dpT*T/pro.cv; pro.a := Modelica.Constants.inf; pro.R := data.RH2O; pro.dudT := (pro.p - T*dpT)/(d*d); end waterR4_dT;