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XSteam.m
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XSteam.m
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%h_prho behöver T_prho för samtliga regioner!!!!
%***********************************************************************************************************
%* Water and steam properties according to IAPWS IF-97 *
%* By Magnus Holmgren, www.x-eng.com *
%* The steam tables are free and provided as is. *
%* We take no responsibilities for any errors in the code or damage thereby. *
%* You are free to use, modify and distribute the code as long as authorship is properly acknowledged. *
%* Please notify me at magnus@x-eng.com if the code is used in commercial applications *
%***********************************************************************************************************
%
% XSteam provides accurate steam and water properties from 0 - 1000 bar and from 0 - 2000 deg C according to
% the standard IAPWS IF-97. For accuracy of the functions in different regions see IF-97 (www.iapws.org)
%
% *** Using XSteam *****************************************************************************************
%XSteam take 2 or 3 arguments. The first argument must always be the steam table function you want to use.
%The other arguments are the inputs to that function.
%Example: XSteam('h_pt',1,20) Returns the enthalpy of water at 1 bar and 20 degC
%Example: XSteam('TSat_p',1) Returns the saturation temperature of water at 1 bar.
%For a list of valid Steam Table functions se bellow or the XSteam macros for MS Excel.
%
%*** Nomenclature ******************************************************************************************
% First the wanted property then a _ then the wanted input properties.
% Example. T_ph is temperature as a function of pressure and enthalpy.
% For a list of valid functions se bellow or XSteam for MS Excel.
% T Temperature (deg C)
% p Pressure (bar)
% h Enthalpy (kJ/kg)
% v Specific volume (m3/kg)
% rho Density
% s Specific entropy
% u Specific internal energy
% Cp Specific isobaric heat capacity
% Cv Specific isochoric heat capacity
% w Speed of sound
% my Viscosity
% tc Thermal Conductivity
% st Surface Tension
% x Vapour fraction
% vx Vapour Volume Fraction
%
%*** Valid Steam table functions. ****************************************************************************
%
%Temperature
%Tsat_p Saturation temperature
%T_ph Temperture as a function of pressure and enthalpy
%T_ps Temperture as a function of pressure and entropy
%T_hs Temperture as a function of enthalpy and entropy
%
%Pressure
%psat_T Saturation pressure
%p_hs Pressure as a function of h and s.
%p_hrho Pressure as a function of h and rho. Very unaccurate for solid water region since it's almost incompressible!
%
%Enthalpy
%hV_p Saturated vapour enthalpy
%hL_p Saturated liquid enthalpy
%hV_T Saturated vapour enthalpy
%hL_T Saturated liquid enthalpy
%h_pT Entalpy as a function of pressure and temperature.
%h_ps Entalpy as a function of pressure and entropy.
%h_px Entalpy as a function of pressure and vapour fraction
%h_prho Entalpy as a function of pressure and density. Observe for low temperatures (liquid) this equation has 2 solutions.
%h_Tx Entalpy as a function of temperature and vapour fraction
%
%Specific volume
%vV_p Saturated vapour volume
%vL_p Saturated liquid volume
%vV_T Saturated vapour volume
%vL_T Saturated liquid volume
%v_pT Specific volume as a function of pressure and temperature.
%v_ph Specific volume as a function of pressure and enthalpy
%v_ps Specific volume as a function of pressure and entropy.
%
%Density
%rhoV_p Saturated vapour density
%rhoL_p Saturated liquid density
%rhoV_T Saturated vapour density
%rhoL_T Saturated liquid density
%rho_pT Density as a function of pressure and temperature.
%rho_ph Density as a function of pressure and enthalpy
%rho_ps Density as a function of pressure and entropy.
%
%Specific entropy
%sV_p Saturated vapour entropy
%sL_p Saturated liquid entropy
%sV_T Saturated vapour entropy
%sL_T Saturated liquid entropy
%s_pT Specific entropy as a function of pressure and temperature (Returns saturated vapour entalpy if mixture.)
%s_ph Specific entropy as a function of pressure and enthalpy
%
%Specific internal energy
%uV_p Saturated vapour internal energy
%uL_p Saturated liquid internal energy
%uV_T Saturated vapour internal energy
%uL_T Saturated liquid internal energy
%u_pT Specific internal energy as a function of pressure and temperature.
%u_ph Specific internal energy as a function of pressure and enthalpy
%u_ps Specific internal energy as a function of pressure and entropy.
%
%Specific isobaric heat capacity
%CpV_p Saturated vapour heat capacity
%CpL_p Saturated liquid heat capacity
%CpV_T Saturated vapour heat capacity
%CpL_T Saturated liquid heat capacity
%Cp_pT Specific isobaric heat capacity as a function of pressure and temperature.
%Cp_ph Specific isobaric heat capacity as a function of pressure and enthalpy
%Cp_ps Specific isobaric heat capacity as a function of pressure and entropy.
%
%Specific isochoric heat capacity
%CvV_p Saturated vapour isochoric heat capacity
%CvL_p Saturated liquid isochoric heat capacity
%CvV_T Saturated vapour isochoric heat capacity
%CvL_T Saturated liquid isochoric heat capacity
%Cv_pT Specific isochoric heat capacity as a function of pressure and temperature.
%Cv_ph Specific isochoric heat capacity as a function of pressure and enthalpy
%Cv_ps Specific isochoric heat capacity as a function of pressure and entropy.
%
%Speed of sound
%wV_p Saturated vapour speed of sound
%wL_p Saturated liquid speed of sound
%wV_T Saturated vapour speed of sound
%wL_T Saturated liquid speed of sound
%w_pT Speed of sound as a function of pressure and temperature.
%w_ph Speed of sound as a function of pressure and enthalpy
%w_ps Speed of sound as a function of pressure and entropy.
%
%Viscosity
%Viscosity is not part of IAPWS Steam IF97. Equations from
%"Revised Release on the IAPWS Formulation 1985 for the Viscosity of Ordinary Water Substance", 2003 are used.
%Viscosity in the mixed region (4) is interpolated according to the density. This is not true since it will be two fases.
%my_pT Viscosity as a function of pressure and temperature.
%my_ph Viscosity as a function of pressure and enthalpy
%my_ps Viscosity as a function of pressure and entropy.
%
%Thermal Conductivity
%Revised release on the IAPS Formulation 1985 for the Thermal Conductivity of ordinary water substance (IAPWS 1998)
%tcL_p Saturated vapour thermal conductivity
%tcV_p Saturated liquid thermal conductivity
%tcL_T Saturated vapour thermal conductivity
%tcV_T Saturated liquid thermal conductivity
%tc_pT Thermal conductivity as a function of pressure and temperature.
%tc_ph Thermal conductivity as a function of pressure and enthalpy
%tc_hs Thermal conductivity as a function of enthalpy and entropy
%
%Surface tension
%st_T Surface tension for two phase water/steam as a function of T
%st_p Surface tension for two phase water/steam as a function of T
%Vapour fraction
%x_ph Vapour fraction as a function of pressure and enthalpy
%x_ps Vapour fraction as a function of pressure and entropy.
%
%Vapour volume fraction
%vx_ph Vapour volume fraction as a function of pressure and enthalpy
%vx_ps Vapour volume fraction as a function of pressure and entropy.
function Out=XSteam(fun,In1,In2)
%*Contents.
%*1 Calling functions
%*1.1
%*1.2 Temperature (T)
%*1.3 Pressure (p)
%*1.4 Enthalpy (h)
%*1.5 Specific Volume (v)
%*1.6 Density (rho)
%*1.7 Specific entropy (s)
%*1.8 Specific internal energy (u)
%*1.9 Specific isobaric heat capacity (Cp)
%*1.10 Specific isochoric heat capacity (Cv)
%*1.11 Speed of sound
%*1.12 Viscosity
%*1.13 Prandtl
%*1.14 Kappa
%*1.15 Surface tension
%*1.16 Heat conductivity
%*1.17 Vapour fraction
%*1.18 Vapour Volume Fraction
%
%*2 IAPWS IF 97 Calling functions
%*2.1 Functions for region 1
%*2.2 Functions for region 2
%*2.3 Functions for region 3
%*2.4 Functions for region 4
%*2.5 Functions for region 5
%
%*3 Region Selection
%*3.1 Regions as a function of pT
%*3.2 Regions as a function of ph
%*3.3 Regions as a function of ps
%*3.4 Regions as a function of hs
%
%4 Region Borders
%4.1 Boundary between region 1 and 3.
%4.2 Region 3. pSat_h and pSat_s
%4.3 Region boundary 1to3 and 3to2 as a functions of s
%
%5 Transport properties
%5.1 Viscosity (IAPWS formulation 1985)
%5.2 Thermal Conductivity (IAPWS formulation 1985)
%5.3 Surface Tension
%
%6 Units
%
%7 Verification
%7.1 Verifiy region 1
%7.2 Verifiy region 2
%7.3 Verifiy region 3
%7.4 Verifiy region 4
%7.5 Verifiy region 5
%***********************************************************************************************************
%*1 Calling functions *
%***********************************************************************************************************
%***********************************************************************************************************
%*1.1
fun=lower(fun);
switch fun
%***********************************************************************************************************
%*1.2 Temperature
case 'tsat_p'
p = toSIunit_p(In1);
if p > 0.000611657 && p < 22.06395
Out = fromSIunit_T(T4_p(p));
else
Out = NaN;
end
case 'tsat_s'
s = toSIunit_s(In1);
if s > -0.0001545495919 && s < 9.155759395
ps = p4_s(s);
Out = fromSIunit_T(T4_p(ps));
else
Out = NaN;
end
case 't_ph'
p = toSIunit_p(In1);
h = toSIunit_h(In2);
Region = region_ph(p, h);
switch Region
case 1
Out = fromSIunit_T(T1_ph(p, h));
case 2
Out = fromSIunit_T(T2_ph(p, h));
case 3
Out = fromSIunit_T(T3_ph(p, h));
case 4
Out = fromSIunit_T(T4_p(p));
case 5
Out = fromSIunit_T(T5_ph(p, h));
otherwise
Out = NaN;
end
case 't_ps'
p = toSIunit_p(In1);
s = toSIunit_s(In2);
Region = region_ps(p, s);
switch Region
case 1
Out = fromSIunit_T(T1_ps(p, s));
case 2
Out = fromSIunit_T(T2_ps(p, s));
case 3
Out = fromSIunit_T(T3_ps(p, s));
case 4
Out = fromSIunit_T(T4_p(p));
case 5
Out = fromSIunit_T(T5_ps(p, s));
otherwise
Out = NaN;
end
case 't_hs'
h = toSIunit_h(In1);
s = toSIunit_s(In2);
Region = region_hs(h, s);
switch Region
case 1
p1 = p1_hs(h, s);
Out = fromSIunit_T(T1_ph(p1, h));
case 2
p2 = p2_hs(h, s);
Out = fromSIunit_T(T2_ph(p2, h));
case 3
p3 = p3_hs(h, s);
Out = fromSIunit_T(T3_ph(p3, h));
case 4
Out = fromSIunit_T(T4_hs(h, s));
case 5
error('functions of hs is not avlaible in region 5');
otherwise
Out = NaN;
end
%***********************************************************************************************************
%*1.3 Pressure (p)
case 'psat_t'
T = toSIunit_T(In1);
if T < 647.096 && T > 273.15
Out = fromSIunit_p(p4_T(T));
else
Out = NaN;
end
case 'psat_s'
s = toSIunit_s(In1);
if s > -0.0001545495919 && s < 9.155759395
Out = fromSIunit_p(p4_s(s));
else
Out = NaN;
end
case 'p_hs'
h = toSIunit_h(In1);
s = toSIunit_s(In2);
Region = region_hs(h, s);
switch Region
case 1
Out = fromSIunit_p(p1_hs(h, s));
case 2
Out = fromSIunit_p(p2_hs(h, s));
case 3
Out = fromSIunit_p(p3_hs(h, s));
case 4
tSat = T4_hs(h, s);
Out = fromSIunit_p(p4_T(tSat));
case 5
error('functions of hs is not avlaible in region 5');
otherwise
Out = NaN;
end
case 'p_hrho'
h=In1;
rho=In2;
%Not valid for water or sumpercritical since water rho does not change very much with p.
%Uses iteration to find p.
High_Bound = fromSIunit_p(100);
Low_Bound = fromSIunit_p(0.000611657);
ps = fromSIunit_p(10);
rhos = 1 / XSteam('v_ph',ps, h);
while abs(rho - rhos) > 0.0000001
rhos = 1 / XSteam('v_ph',ps, h);
if rhos >= rho
High_Bound = ps;
else
Low_Bound = ps;
end
ps = (Low_Bound + High_Bound) / 2;
end
Out = ps;
%***********************************************************************************************************
%*1.4 Enthalpy (h)
case 'hv_p'
p = toSIunit_p(In1);
if p > 0.000611657 && p < 22.06395
Out = fromSIunit_h(h4V_p(p));
else
Out = NaN;
end
case 'hl_p'
p = toSIunit_p(In1);
if p > 0.000611657 && p < 22.06395
Out = fromSIunit_h(h4L_p(p));
else
Out = NaN;
end
case 'hv_t'
T = toSIunit_T(In1);
if T > 273.15 && T < 647.096
p = p4_T(T);
Out = fromSIunit_h(h4V_p(p));
else
Out = NaN;
end
case 'hl_t'
T = toSIunit_T(In1);
if T > 273.15 && T < 647.096
p = p4_T(T);
Out = fromSIunit_h(h4L_p(p));
else
Out = NaN;
end
case 'h_pt'
p = toSIunit_p(In1);
T = toSIunit_T(In2);
Region = region_pT(p, T);
switch Region
case 1
Out = fromSIunit_h(h1_pT(p, T));
case 2
Out = fromSIunit_h(h2_pT(p, T));
case 3
Out = fromSIunit_h(h3_pT(p, T));
case 4
Out = NaN;
case 5
Out = fromSIunit_h(h5_pT(p, T));
otherwise
Out = NaN;
end
case 'h_ps'
p = toSIunit_p(In1);
s = toSIunit_s(In2);
Region = region_ps(p, s);
switch Region
case 1
Out = fromSIunit_h(h1_pT(p, T1_ps(p, s)));
case 2
Out = fromSIunit_h(h2_pT(p, T2_ps(p, s)));
case 3
Out = fromSIunit_h(h3_rhoT(1 / v3_ps(p, s), T3_ps(p, s)));
case 4
xs = x4_ps(p, s);
Out = fromSIunit_h(xs * h4V_p(p) + (1 - xs) * h4L_p(p));
case 5
Out = fromSIunit_h(h5_pT(p, T5_ps(p, s)));
otherwise
Out = NaN;
end
case 'h_px'
p = toSIunit_p(In1);
x = toSIunit_x(In2);
if x > 1 || x < 0 || p >= 22.064
Out = NaN;
return
end
hL = h4L_p(p);
hV = h4V_p(p);
Out = hL + x * (hV - hL);
case 'h_prho'
p = toSIunit_p(In1);
rho = 1 / toSIunit_v(1 / In2);
Region = Region_prho(p, rho);
switch Region
case 1
Out = fromSIunit_h(h1_pT(p, T1_prho(p, rho)));
case 2
Out = fromSIunit_h(h2_pT(p, T2_prho(p, rho)));
case 3
Out = fromSIunit_h(h3_rhoT(rho, T3_prho(p, rho)));
case 4
if p < 16.529
vV = v2_pT(p, T4_p(p));
vL = v1_pT(p, T4_p(p));
else
vV = v3_ph(p, h4V_p(p));
vL = v3_ph(p, h4L_p(p));
end
hV = h4V_p(p);
hL = h4L_p(p);
x = (1 / rho - vL) / (vV - vL);
Out = fromSIunit_h((1 - x) * hL + x * hV);
case 5
Out = fromSIunit_h(h5_pT(p, T5_prho(p, rho)));
otherwise
Out = NaN;
end
case 'h_tx'
T = toSIunit_T(In1);
x = toSIunit_x(In2);
if x > 1 || x < 0 || T >= 647.096
Out = NaN;
return
end
p = p4_T(T);
hL = h4L_p(p);
hV = h4V_p(p);
Out = hL + x * (hV - hL);
%***********************************************************************************************************
%*1.5 Specific Volume (v)
case {'vv_p','rhov_p'}
p = toSIunit_p(In1);
if p > 0.000611657 && p < 22.06395
if p < 16.529
Out = fromSIunit_v(v2_pT(p, T4_p(p)));
else
Out = fromSIunit_v(v3_ph(p, h4V_p(p)));
end
else
Out = NaN;
end
if fun(1)=='r'
Out=1/Out;
end
case {'vl_p','rhol_p'}
p = toSIunit_p(In1);
if p > 0.000611657 && p < 22.06395
if p < 16.529
Out = fromSIunit_v(v1_pT(p, T4_p(p)));
else
Out = fromSIunit_v(v3_ph(p, h4L_p(p)));
end
else
Out = NaN;
end
if fun(1)=='r'
Out=1/Out;
end
case {'vv_t','rhov_t'}
T = toSIunit_T(In1);
if T > 273.15 && T < 647.096
if T <= 623.15
Out = fromSIunit_v(v2_pT(p4_T(T), T));
else
Out = fromSIunit_v(v3_ph(p4_T(T), h4V_p(p4_T(T))));
end
else
Out = NaN;
end
if fun(1)=='r'
Out=1/Out;
end
case {'vl_t','rhol_t'}
T = toSIunit_T(In1);
if T > 273.15 && T < 647.096
if T <= 623.15
Out = fromSIunit_v(v1_pT(p4_T(T), T));
else
Out = fromSIunit_v(v3_ph(p4_T(T), h4L_p(p4_T(T))));
end
else
Out = NaN;
end
if fun(1)=='r'
Out=1/Out;
end
case {'v_pt','rho_pt'}
p = toSIunit_p(In1);
T = toSIunit_T(In2);
Region = region_pT(p, T);
switch Region
case 1
Out = fromSIunit_v(v1_pT(p, T));
case 2
Out = fromSIunit_v(v2_pT(p, T));
case 3
Out = fromSIunit_v(v3_ph(p, h3_pT(p, T)));
case 4
Out = NaN;
case 5
Out = fromSIunit_v(v5_pT(p, T));
otherwise
Out = NaN;
end
if fun(1)=='r'
Out=1/Out;
end
case {'v_ph','rho_ph'}
p = toSIunit_p(In1);
h = toSIunit_h(In2);
Region = region_ph(p, h);
switch Region
case 1
Out = fromSIunit_v(v1_pT(p, T1_ph(p, h)));
case 2
Out = fromSIunit_v(v2_pT(p, T2_ph(p, h)));
case 3
Out = fromSIunit_v(v3_ph(p, h));
case 4
xs = x4_ph(p, h);
if p < 16.529
v4v = v2_pT(p, T4_p(p));
v4L = v1_pT(p, T4_p(p));
else
v4v = v3_ph(p, h4V_p(p));
v4L = v3_ph(p, h4L_p(p));
end
Out = fromSIunit_v((xs * v4v + (1 - xs) * v4L));
case 5
Ts = T5_ph(p, h);
Out = fromSIunit_v(v5_pT(p, Ts));
otherwise
Out = NaN;
end
if fun(1)=='r'
Out=1/Out;
end
case {'v_ps','rho_ps'}
p = toSIunit_p(In1);
s = toSIunit_s(In2);
Region = region_ps(p, s);
switch Region
case 1
Out = fromSIunit_v(v1_pT(p, T1_ps(p, s)));
case 2
Out = fromSIunit_v(v2_pT(p, T2_ps(p, s)));
case 3
Out = fromSIunit_v(v3_ps(p, s));
case 4
xs = x4_ps(p, s);
if p < 16.529
v4v = v2_pT(p, T4_p(p));
v4L = v1_pT(p, T4_p(p));
else
v4v = v3_ph(p, h4V_p(p));
v4L = v3_ph(p, h4L_p(p));
end
Out = fromSIunit_v((xs * v4v + (1 - xs) * v4L));
case 5
Ts = T5_ps(p, s);
Out = fromSIunit_v(v5_pT(p, Ts));
otherwise
Out = NaN;
end
if fun(1)=='r'
Out=1/Out;
end
%***********************************************************************************************************
%*1.6 Density (rho)
% Density is calculated as 1/v. Se section 1.5 Volume
%***********************************************************************************************************
%*1.7 Specific entropy (s)
case 'sv_p'
p = toSIunit_p(In1);
if p > 0.000611657 && p < 22.06395
if p < 16.529
Out = fromSIunit_s(s2_pT(p, T4_p(p)));
else
Out = fromSIunit_s(s3_rhoT(1 / (v3_ph(p, h4V_p(p))), T4_p(p)));
end
else
Out = NaN;
end
case 'sl_p'
p = toSIunit_p(In1);
if p > 0.000611657 && p < 22.06395
if p < 16.529
Out = fromSIunit_s(s1_pT(p, T4_p(p)));
else
Out = fromSIunit_s(s3_rhoT(1 / (v3_ph(p, h4L_p(p))), T4_p(p)));
end
else
Out = NaN;
end
case 'sv_t'
T = toSIunit_T(In1);
if T > 273.15 && T < 647.096
if T <= 623.15
Out = fromSIunit_s(s2_pT(p4_T(T), T));
else
Out = fromSIunit_s(s3_rhoT(1 / (v3_ph(p4_T(T), h4V_p(p4_T(T)))), T));
end
else
Out = NaN;
end
case 'sl_t'
T = toSIunit_T(In1);
if T > 273.15 && T < 647.096
if T <= 623.15
Out = fromSIunit_s(s1_pT(p4_T(T), T));
else
Out = fromSIunit_s(s3_rhoT(1 / (v3_ph(p4_T(T), h4L_p(p4_T(T)))), T));
end
else
Out = NaN;
end
case 's_pt'
p = toSIunit_p(In1);
T = toSIunit_T(In2);
Region = region_pT(p, T);
switch Region
case 1
Out = fromSIunit_s(s1_pT(p, T));
case 2
Out = fromSIunit_s(s2_pT(p, T));
case 3
hs = h3_pT(p, T);
rhos = 1 / v3_ph(p, hs);
Out = fromSIunit_s(s3_rhoT(rhos, T));
case 4
Out = NaN;
case 5
Out = fromSIunit_s(s5_pT(p, T));
otherwise
Out = NaN;
end
case 's_ph'
p = toSIunit_p(In1);
h = toSIunit_h(In2);
Region = region_ph(p, h);
switch Region
case 1
T = T1_ph(p, h);
Out = fromSIunit_s(s1_pT(p, T));
case 2
T = T2_ph(p, h);
Out = fromSIunit_s(s2_pT(p, T));
case 3
rhos = 1 / v3_ph(p, h);
Ts = T3_ph(p, h);
Out = fromSIunit_s(s3_rhoT(rhos, Ts));
case 4
Ts = T4_p(p);
xs = x4_ph(p, h);
if p < 16.529
s4v = s2_pT(p, Ts);
s4L = s1_pT(p, Ts);
else
v4v = v3_ph(p, h4V_p(p));
s4v = s3_rhoT(1 / v4v, Ts);
v4L = v3_ph(p, h4L_p(p));
s4L = s3_rhoT(1 / v4L, Ts);
end
Out = fromSIunit_s((xs * s4v + (1 - xs) * s4L));
case 5
T = T5_ph(p, h);
Out = fromSIunit_s(s5_pT(p, T));
otherwise
Out = NaN;
end
%***********************************************************************************************************
%*1.8 Specific internal energy (u)
case 'uv_p'
p = toSIunit_p(In1);
if p > 0.000611657 && p < 22.06395
if p < 16.529
Out = fromSIunit_u(u2_pT(p, T4_p(p)));
else
Out = fromSIunit_u(u3_rhoT(1 / (v3_ph(p, h4V_p(p))), T4_p(p)));
end
else
Out = NaN;
end
case 'ul_p'
p = toSIunit_p(In1);
if p > 0.000611657 && p < 22.06395
if p < 16.529
Out = fromSIunit_u(u1_pT(p, T4_p(p)));
else
Out = fromSIunit_u(u3_rhoT(1 / (v3_ph(p, h4L_p(p))), T4_p(p)));
end
else
Out = NaN;
end
case 'uv_t'
T = toSIunit_T(In1);
if T > 273.15 && T < 647.096
if T <= 623.15
Out = fromSIunit_u(u2_pT(p4_T(T), T));
else
Out = fromSIunit_u(u3_rhoT(1 / (v3_ph(p4_T(T), h4V_p(p4_T(T)))), T));
end
else
Out = NaN;
end
case 'ul_t'
T = toSIunit_T(In1);
if T > 273.15 && T < 647.096
if T <= 623.15
Out = fromSIunit_u(u1_pT(p4_T(T), T));
else
Out = fromSIunit_u(u3_rhoT(1 / (v3_ph(p4_T(T), h4L_p(p4_T(T)))), T));
end
else
Out = NaN;
end
case 'u_pt'
p = toSIunit_p(In1);
T = toSIunit_T(In2);
Region = region_pT(p, T);
switch Region
case 1
Out = fromSIunit_u(u1_pT(p, T));
case 2
Out = fromSIunit_u(u2_pT(p, T));
case 3
hs = h3_pT(p, T);
rhos = 1 / v3_ph(p, hs);
Out = fromSIunit_u(u3_rhoT(rhos, T));
case 4
Out = NaN;
case 5
Out = fromSIunit_u(u5_pT(p, T));
otherwise
Out = NaN;
end
case 'u_ph'
p = toSIunit_p(In1);
h = toSIunit_h(In2);
Region = region_ph(p, h);
switch Region
case 1
Ts = T1_ph(p, h);
Out = fromSIunit_u(u1_pT(p, Ts));
case 2
Ts = T2_ph(p, h);
Out = fromSIunit_u(u2_pT(p, Ts));
case 3
rhos = 1 / v3_ph(p, h);
Ts = T3_ph(p, h);
Out = fromSIunit_u(u3_rhoT(rhos, Ts));
case 4
Ts = T4_p(p);
xs = x4_ph(p, h);
if p < 16.529
u4v = u2_pT(p, Ts);
u4L = u1_pT(p, Ts);
else
v4v = v3_ph(p, h4V_p(p));
u4v = u3_rhoT(1 / v4v, Ts);
v4L = v3_ph(p, h4L_p(p));
u4L = u3_rhoT(1 / v4L, Ts);
end
Out = fromSIunit_u((xs * u4v + (1 - xs) * u4L));
case 5
Ts = T5_ph(p, h);
Out = fromSIunit_u(u5_pT(p, Ts));
otherwise
Out = NaN;
end
case 'u_ps'
p = toSIunit_p(In1);
s = toSIunit_s(In2);
Region = region_ps(p, s);
switch Region
case 1
Ts = T1_ps(p, s);
Out = fromSIunit_u(u1_pT(p, Ts));
case 2
Ts = T2_ps(p, s);
Out = fromSIunit_u(u2_pT(p, Ts));
case 3
rhos = 1 / v3_ps(p, s);
Ts = T3_ps(p, s);
Out = fromSIunit_u(u3_rhoT(rhos, Ts));
case 4
if p < 16.529
uLp = u1_pT(p, T4_p(p));
uVp = u2_pT(p, T4_p(p));
else
uLp = u3_rhoT(1 / (v3_ph(p, h4L_p(p))), T4_p(p));
uVp = u3_rhoT(1 / (v3_ph(p, h4V_p(p))), T4_p(p));
end
xs = x4_ps(p, s);
Out = fromSIunit_u((xs * uVp + (1 - xs) * uLp));
case 5
Ts = T5_ps(p, s);
Out = fromSIunit_u(u5_pT(p, Ts));
otherwise
Out = NaN;
end
%***********************************************************************************************************
%*1.9 Specific isobaric heat capacity (Cp)
case 'cpv_p'
p = toSIunit_p(In1);
if p > 0.000611657 && p < 22.06395
if p < 16.529
Out = fromSIunit_Cp(Cp2_pT(p, T4_p(p)));
else
Out = fromSIunit_Cp(Cp3_rhoT(1 / (v3_ph(p, h4V_p(p))), T4_p(p)));
end
else
Out = NaN;
end
case 'cpl_p'
p = toSIunit_p(In1);
if p > 0.000611657 && p < 22.06395
if p < 16.529
Out = fromSIunit_Cp(Cp1_pT(p, T4_p(p)));
else
Out = fromSIunit_Cp(Cp3_rhoT(1 / (v3_ph(p, h4L_p(p))), T4_p(p)));
end
else
Out = NaN;
end
case 'cpv_t'
T = toSIunit_T(In1);
if T > 273.15 && T < 647.096
if T <= 623.15
Out = fromSIunit_Cp(Cp2_pT(p4_T(T), T));
else
Out = fromSIunit_Cp(Cp3_rhoT(1 / (v3_ph(p4_T(T), h4V_p(p4_T(T)))), T));
end
else
Out = NaN;
end
case 'cpl_t'
T = toSIunit_T(In1);
if T > 273.15 && T < 647.096
if T <= 623.15
Out = fromSIunit_Cp(Cp1_pT(p4_T(T), T));
else
Out = fromSIunit_Cp(Cp3_rhoT(1 / (v3_ph(p4_T(T), h4L_p(p4_T(T)))), T));
end
else
Out = NaN;
end
case 'cp_pt'
p = toSIunit_p(In1);
T = toSIunit_T(In2);
Region = region_pT(p, T);
switch Region
case 1
Out = fromSIunit_Cp(Cp1_pT(p, T));
case 2
Out = fromSIunit_Cp(Cp2_pT(p, T));
case 3
hs = h3_pT(p, T);
rhos = 1 / v3_ph(p, hs);
Out = fromSIunit_Cp(Cp3_rhoT(rhos, T));
case 4
Out = NaN;
case 5
Out = fromSIunit_Cp(Cp5_pT(p, T));
otherwise
Out = NaN;
end
case 'cp_ph'
p = toSIunit_p(In1);
h = toSIunit_h(In2);
Region = region_ph(p, h);
switch Region
case 1
Ts = T1_ph(p, h);
Out = fromSIunit_Cp(Cp1_pT(p, Ts));
case 2
Ts = T2_ph(p, h);
Out = fromSIunit_Cp(Cp2_pT(p, Ts));
case 3
rhos = 1 / v3_ph(p, h);
Ts = T3_ph(p, h);
Out = fromSIunit_Cp(Cp3_rhoT(rhos, Ts));
case 4
Out = NaN;
case 5
Ts = T5_ph(p, h);
Out = fromSIunit_Cp(Cp5_pT(p, Ts));
otherwise
Out = NaN;
end
case 'cp_ps'
p = toSIunit_p(In1);
s = toSIunit_s(In2);
Region = region_ps(p, s);
switch Region
case 1
Ts = T1_ps(p, s);
Out = fromSIunit_Cp(Cp1_pT(p, Ts));
case 2
Ts = T2_ps(p, s);
Out = fromSIunit_Cp(Cp2_pT(p, Ts));
case 3
rhos = 1 / v3_ps(p, s);
Ts = T3_ps(p, s);
Out = fromSIunit_Cp(Cp3_rhoT(rhos, Ts));
case 4
Out = NaN;
case 5
Ts = T5_ps(p, s);
Out = fromSIunit_Cp(Cp5_pT(p, Ts));
otherwise
Out = NaN;
end
%***********************************************************************************************************
%*1.10 Specific isochoric heat capacity (Cv)