PropertiesX Steam TablesExcel macros, IF-97 Steam tables.The
excel scripts are stored inside this workbook. A complete list of
functions for use is available on the "Calling functions"
worksheetBy: Magnus HolmgrenThe steam tables are free and provided
as is. We take no responsibilities for any errors in the code or
damage thereby.www.x-eng.comOBS: This workbook uses macros. Set
security options in Tools:Macro:Security to enable
macros.Saturation properties given temperatureSaturation properties
given pressureTemperature120.00CPressure12.570bar aSaturation
pressure1.987bar aSaturation
temperature190.07CLiquidLiquidEnthalpy503.8kJ/kgEnthalpy807.9kJ/kgDensity943.11kg/m3Density876.00kg/m3Entropy1.53kJ/kgKEntropy2.24kJ/kgKVapourVapourVapour
enthalpy2705.9kJ/kgVapour enthalpy2785.4kJ/kgVapour
density1.12kg/m3Vapour density6.40kg/m3Vapour
Entropy7.13kJ/kgKvapour Entropy6.51kJ/kgKEvaporation
energy2202.1kJ/kgEvaporation energy1977.5kJ/kgProperties given
pressure and temperatureProperties given pressure and
enthalpyPressure1.00bar aPressure12.57bar
aTemperature100.00CEnthalpy2788.00kJ/kgEnthalpy2675.8kJ/kgTemperature191.0CDensity0.59kg/m3Density6.39kg/m3Entropy7.36kJ/kgKEntropy6.51kJ/kgKVapour
fraction100%Vapour fraction100%IF97 Region2IF97
Region2PhaseSteamPhaseSteamIsobaric heat
capacity2.0741085546kJ/kgIsobaric heat
capacity2.8194794225kJ/kgSpeed of sound472.3375235249m/sSpeed of
sound503.5512171421m/s
www.x-eng.com
FunctionsX Steam Tablesv2.6http://www.x-eng.comSteam tables by
Magnus Holmgren according to IAPWS IF-97The excel scripts are
stored inside this workbook. (No extra files are needed. Start from
a copy of this workbook. This page can be removed)For
error-reporting, feedback, other units etc.
contact:[email protected] steam tables are free and provided as
is. We take no responsibilities for any errors in the code or
damage thereby.OBS: This workbook uses macros. Set security options
in Tools:Macro:Security to enable
macros.TemperatureTsat_p1bar99.6059186113CSaturation
temperatureT_ph1bar100kJ/kg23.8448190753CTemperture as a function
of pressure and enthalpyT_ps1bar1kJ/(kg K)73.7085942144CTemperture
as a function of pressure and entropyT_hs100kJ/kg0.2kJ/(kg
K)13.8493351119CTemperture as a function of enthalpy and
entropyPressurepsat_T100C1.0141797792barSaturation
pressurep_hs84kJ/kg0.296kJ/(kg K)2.2954982693barPressure as a
function of h and s.p_hrho2000kJ/kg5kg/m36.0464690305barPressure as
a function of h and rho (density). Very unaccurate for solid water
region since it's almost
incompressible!EnthalpyhV_p1bar2674.9496408322kJ/kgSaturated vapour
enthalpyhL_p1bar417.4364858162kJ/kgSaturated liquid
enthalpyhV_T100C2675.5720292208kJ/kgSaturated vapour
enthalpyhL_T100C419.0991549977kJ/kgSaturated liquid
enthalpyh_pT1bar20C84.0118111671kJ/kgEntalpy as a function of
pressure and temperature.h_ps1bar1kJ/(kg
K)308.6107170829kJ/kgEntalpy as a function of pressure and
entropy.h_px1bar0.51546.1930633242kJ/kgEntalpy as a function of
pressure and vapour fractionh_Tx100C0.51547.3355921093kJ/kgEntalpy
as a function of temperature and vapour
fractionh_prho1bar2kg/m31082.77339076kJ/kgEntalpy as a function of
pressure and density. Observe for low temperatures (liquid) this
equation has 2 solutions. (Not valid!!)Specific
volumevV_p1bar1.6940225229m3/kgSaturated vapour
volumevL_p1bar0.0010431478m3/kgSaturated liquid
volumevV_T100C1.6718606011m3/kgSaturated vapour
volumevL_T100C0.0010434555m3/kgSaturated liquid
volumev_pT1bar100C1.6959594074m3/kgSpecific volume as a function of
pressure and temperature.v_ph1bar1000kJ/kg0.4379256581m3/kgSpecific
volume as a function of pressure and enthalpyv_ps1bar5kJ/(kg
K)1.0346353902m3/kgSpecific volume as a function of pressure and
entropy.DensityrhoV_p1bar0.5903109235kg/m3Saturated vapour
densityrhoL_p1bar958.636889676kg/m3Saturated liquid
densityrhoV_T100C0.5981359925kg/m3Saturated vapour
densityrhoL_T100C958.3542772859kg/m3Saturated liquid
densityrho_pT1bar100C0.5896367541kg/m3Density as a function of
pressure and
temperature.rho_ph1bar1000kJ/kg2.2834926007kg/m3Density as a
function of pressure and enthalpyrho_ps1bar1kJ/(kg
K)975.6236788482kg/m3Density as a function of pressure and
entropy.Specific entropysV_p0.006117bar9.1554655557kJ/(kg
K)Saturated vapour entropysL_p0.0061171bar0.000018359kJ/(kg
K)Saturated liquid entropysV_T0.0001C9.1557567159kJ/(kg K)Saturated
vapour entropysL_T100C1.3070143278kJ/(kg K)Saturated liquid
entropys_pT1bar20C0.2964829208kJ/(kg K)Specific entropy as a
function of pressure and temperature (Returns saturated vapour
entalpy if mixture.)s_ph1bar84.0118111671kJ/kg0.2968138447kJ/(kg
K)Specific entropy as a function of pressure and enthalpySpecific
internal energyuV_p1bar2505.5473885419kJ/kgSaturated vapour
internal energyuL_p1bar417.3321710323kJ/kgSaturated liquid internal
energyuV_T100C2506.0153076916kJ/kgSaturated vapour internal
energyuL_T100C418.9933298552kJ/kgSaturated liquid internal
energyu_pT1bar100C2506.171426466kJ/kgSpecific internal energy as a
function of pressure and
temperature.u_ph1bar1000kJ/kg956.207434187kJ/kgSpecific internal
energy as a function of pressure and enthalpyu_ps1bar1kJ/(kg
K)308.5082185457kJ/kgSpecific internal energy as a function of
pressure and entropy.Specific isobaric heat
capacityCpV_p1bar2.0759380252kJ/(kgC)Saturated vapour heat
capacityCpL_p1bar4.2161494308kJ/(kgC)Saturated liquid heat
capacityCpV_T100C2.0774918685kJ/(kgC)Saturated vapour heat
capacityCpL_T100C4.2166451189kJ/(kgC)Saturated liquid heat
capacityCp_pT1bar100C2.0741085546kJ/(kgC)Specific isobaric heat
capacity as a function of pressure and
temperature.Cp_ph1bar200kJ/kg4.1791357317kJ/(kgC)Specific isobaric
heat capacity as a function of pressure and
enthalpyCp_ps1bar1kJ/(kg K)4.1906070379kJ/(kgC)Specific isobaric
heat capacity as a function of pressure and entropy.Specific
isochoric heat capacityCvV_p1bar1.5526969793kJ/(kgC)Saturated
vapour isochoric heat
capacityCvL_p1bar3.7696996827kJ/(kgC)Saturated liquid isochoric
heat capacityCvV_T100C1.553698696kJ/(kgC)Saturated vapour isochoric
heat capacityCvL_T100C3.7677002201kJ/(kgC)Saturated liquid
isochoric heat capacityCv_pT1bar100C1.5513972495kJ/(kgC)Specific
isochoric heat capacity as a function of pressure and
temperature.Cv_ph1bar200kJ/kg4.0351763636kJ/(kgC)Specific isochoric
heat capacity as a function of pressure and
enthalpyCv_ps1bar1kJ/(kg K)3.9029194681kJ/(kgC)Specific isochoric
heat capacity as a function of pressure and entropy.Speed of
soundwV_p1bar472.054157106m/sSaturated vapour speed of
soundwL_p1bar1545.451947534m/sSaturated liquid speed of
soundwV_T100C472.2559492389m/sSaturated vapour speed of
soundwL_T100C1545.0922491939m/sSaturated liquid speed of
soundw_pT1bar100C472.3375235249m/sSpeed of sound as a function of
pressure and temperature.w_ph1bar200kJ/kg1542.6824750115m/sSpeed of
sound as a function of pressure and enthalpyw_ps1bar1kJ/(kg
K)1557.8585355322m/sSpeed of sound as a function of pressure and
entropy.Dynamic ViscosityViscosity 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_pT1bar100C0.0000122704Pa sViscosity as a function of
pressure and temperature.my_ph1bar100kJ/kg9.1400E-04Pa sViscosity
as a function of pressure and enthalpymy_ps1bar1kJ/(kg
K)3.8422E-04Pa sViscosity as a function of pressure and
entropy.PrandtlCalcualted as
Cp*my/tcpr_pT1bar200C9.5781E-01-pr_ph1bar2875.4750649489kJ/kg9.5781E-01-Thermal
ConductivityRevised release on the IAPS Formulation 1985 for the
Thermal Conductivity of ordinary water substance (IAPWS
1998)tcL_p100bar0.5245401946W/(m K)Saturated vapour thermal
conductivitytcV_p1bar0.0247536676W/(m K)Saturated liquid thermal
conductivitytcL_T100C0.6777575116W/(m K)Saturated vapour thermal
conductivitytcV_T100C0.0247938714W/(m K)Saturated liquid thermal
conductivitytc_pT100bar350C0.0685453038W/(m K)Thermal conductivity
as a function of pressure and temperature.tc_ph1bar350kJ/(kg
K)0.6692963322W/(m K)Thermal conductivity as a function of pressure
and enthalpytc_hs100kJ/(kg K)0.34kJ/(kg K)0.6062831238W/(m
K)Thermal conductivity as a function of enthalpy and entropySurface
TensionIAPWS Release on Surface Tension of Ordinary Water
Substance, September 1994st_T100C0.0755076616N/mSurface tension for
two phase water/steam as a function of
Tst_p1bar0.0589877842N/mSurface tension for two phase water/steam
as a function of TVapour
fractionx_ph1bar1000kJ/kg0.2580554239Vapour fraction as a function
of pressure and enthalpyx_ps1bar4kJ/(kg K)0.4453979607Vapour
fraction as a function of pressure and entropy.Vapour Volume
FractionObserve that vapour volume fraction is very sensitive.
Vapour volume is about 1000 times greater than liquid volume and
therfore vapour volume fractiongets close to the accurancy of steam
IF-97vx_ph1bar418kJ/kg0.2885Vapour volume fraction as a function of
pressure and enthalpyvx_ps1bar4kJ/(kg K)0.9992Vapour volume
fraction as a function of pressure and entropy.Version historyNews
in V2.6* Error in valid region for function tc_ptrho* Error in
function h3_pt for temperatures near the saturation point.News in
V2.5* DLL distrubution for use in other applications* Freebasic
translation* Fixed small error in Cv Region 5 p>1000barNews in
V2.4a* ToSIUnit for h_ps region 4. (No effect in SI unit
version).News in V2.4* Functions by p,rho inplemented in matlab
also.* Many missing ; in matlab causing printouts detected.*
OpenOffice version introduced. (Fixed calculation differences in
open office and excel)* Matlab error giving varaible undefined in
some backwards solutions fixed.News in V2.3* Option Explicit, gives
more efficient calculations.* Extensive testing* my_ph not defined
in region 4.* Problems at region border for h4V_p to adress solver
problems at the exact border.* Problem at fast border check in
region_ph fixed.News in V2.2* Extensive testing* Fixed error in
Cp_ph* Function p_hrho added. (Very good for calcualting pressure
when heating a volume with water/steam mixture.)* Fixed error in
T_hs return no value for vet region bellow the water saturation
line.* Prandtl number addedNews in V2.1* Calling function h_prho*
Fixed problem with Cv reporting NaN in region 5.* Equivivalent to
the Matlab version. (Downloadable from www.x-eng.com)News in V2*
Calling functions of h and s added.* Thermal conductivity, Surface
tension added* Calling functions h_px and h_tx added.* Cp, Cv and w
undefined in the mixed region. (Before interpolation with the vapor
fraction was used.)* A work sheet "Properties" for simple lookups
added.
http://[email protected]
Sheet1Tema1p1'=4.1bar*m2=102.7777777778kg/s*t1'=152C*t1s=144.52C*h1'=2756.4660608835kJ/kgr=0.987*p2'=7.8bar*t2'=106C*h2'=444.9229082752kJ/kgp1"=4.1bar*t1"=112.5C*h1"=472.1363563648kJ/kgp2"=7.8bar*t2"=137C*h2"=576.6272007439kJ/kgm1=6.0037584795kg/sh1s=608.6279698484kJ/kgh2x=452.7924077376kJ/kgt2x=107.8667551514Ctmax=36.6532448486Ctmed=18.3929452403Ctmin=7.52Ct1c=t1s=144.52Ct2c=126.1270547597CTema
22=938.0867743018kg/m3w2=1.5m/sde=25mms=35mm=2mmdi=21mmnt=210.88211*n=7n=436Deci
n=(z1;z2)z1=367*z2=439*D'/s=20*D'/s=22*D'=700mmD'=770mmne1=11*ne2=12*nd1=21nd2=23nr1=346nr2=416nt1r=173nt2r=208w2,1r=1.8284438846m/sw2,2r=1.5207730386m/sw2fr=1.52m/s*u=8mml=5mDc=811mmtp1'=138.79Ctp1''=140.79Ctm1'=141.655Ctm1''=142.655Ccp1'=4.2898315198kJ/kgKcp1''=4.2921629037KJ/kgK1'=924.6512675252kg/m31''=923.7508798271kg/m31'=0.6847765809W/mK1''=0.6847062528W/mK1'=2.10E-07m2/s1''=2.08E-07m2/s1'=0.0001940735Pa
s1''=0.0001926045Pa
sGa1'=27837928134054200Ga1''=28210355672000300Pr1'=1.2157248542Pr1''=1.2073234662K1'=87.3789219594K1''=134.1579803376GaPrK=29571876723799000004569289924811940000Nu1'=97604.2079937981Nu1''=112838.8066276921'=13367.4151669239W/m2
K1''=15452.2872903344W/m2Kql1'=6015.7799232041W/mql1''4526.8018756781W/mp=52.335W/m
Ktp2'=135.6002971099Ctp2''=138.3897870251Ccp2'=4.2559479503kJ/kgKcp2''=4.2559479503kJ/kgK2'=938.3629001741kg/m32''=938.3629001741kg/m32'=0.6847981004W/mK2''=0.6847981004W/mK2'=2.19E-07m2/s2''=2.15E-07m2/s2'=0.0002200881Pa
s2''=0.0002200881Pa
sPrf2'=1.3678245357Prf2''=1.3678245357Re2'=145926.670933528Re2''=145926.670933528Nu2'=331.2005705627Nu2''=332.9005606579Prp2'=1.2698326621Prp2''=1.24409255862'=10800.26293228W/m2K2''=10855.6986459881W/m2Kql2'=6749.9746804371W/mql2''8782.4198002802W/mql=6325W/m*6015.774526.8tp=138.38C*6749.978782.42138.79140.79kl=343.881848033W/mKQ2=12727.4648367522KWL=2012.2474050201ml=4.8371331851mks=5212.4281860976W/m2KSc=132.7548949611m2Tema
3tmax=36.6532448486Ctmin=6.5Ctmed,r=17.4326464824Ct2r=106.9333775757Ct1r=124.3660240581Cde=20mm=1.5mms=30mmk=8mmn=5w1=0.3m/sdi=17mm1=939.6384295641kg/m3nt=93.832538102894n=198z1=187z2=241D'/s=14D'/s=16D'=420mmD'=480mmne1=8ne2=9nd1=15nd2=17nr1=172nr2=224nt1,r=86nt2,r=112w1I,r=0.3273228073w1II,r=0.2513371556w1f,r=0.327322807m/sDi=456mm=10mmSt2=0.0523585794m22=953.26769405kg/m3w2=2.0591903445m/s1=0.0000002377m2/sPrf1=1.38820083671=0.0002233504Pa
sRe1=23409.8838655783Nu1=75.682103081=0.6842666159W/mK1a=3046.278621086W/m2KP2=6.5658224892mdh2=0.0318976515m2=0.0000002755m2/s2=0.0002626499Pa
sRe2=238392.593230244Prf2=1.6299940025Nu2=519.1507476848Pt2=5.4035393642mdt2=0.038758729m2=0.6803266599W/mK2a=9112.5819517682W/m2KIteratia
1Iteratia
2ks=2142.8451816468W/m2Kqs=37355.4625181006W/m2qs=36722.2127548128W/m2tp1=112.1033694671Ctp1=111.9751947027Ctp2=111.0327055945Ctp2=110.9226807229CPrp1=1.5495904331Prp1=1.5514901665Prp2=1.565397311Prp2=1.5670624503t1=0.9728790331t1=0.9725810841t2=1.0101604379t2=1.00989198521=2963.6605994383W/m2K1=2962.7529636541W/m2K2=9205.1697751472W/m2K2=9202.7234780116W/m2Kks1=2106.5196722682W/m2Kks1=2105.933004094W/m21=1.6951999001%2=0.0278501161%Q2r=808.8096669737kWSr=22.0312155359m2kl=112.4717221284W/mKql=1960.6797711285W/mL=412.5149241011ml=2.398342582mtema
4Consensatie ag
primarpab=2.0206847984Pa0.0000202068bar1=0.4517809114m3/kgC=0.024Condensatie
ag
secundark=0.25mmRe2=47040Re1=840f=0.040Prf=1.3678245357tmp=136.9950420675CPrp=1.2567986857ft=0.0390486397L=9.6742663703mplin=12850.9396211296Pa0.1285093962bari=6ploc=6510.5981797358Pa0.0651059818barp=19361.5378008654Pa0.193615378barSubracire
ag
primari=6.5f=0.0437679274tm1=139.79CPrp=1.2318057644ft=0.0420583882L=4.796685164mplin=501.7856090111Pa0.0050178561barploc=274.8442406475Pa0.0027484424barp=776.6298496586Pa0.0077662985barAg
secundari=7f=0.0432926056ft=0.0396984571plin=12065.1853784368Pa0.1206518538barploc=14147.3763184382Pa0.1414737632barp=26212.5616968751Pa0.262125617barTema
5r=0.987h10=100kJ/kgtd=0.8487341327cp1=2.3478279561kJ/kg
Kcp2=4.3673722417kJ/kg
KC1=241.3045399359kW/KC2=26.2206481293kW/KCmin=7.9024423146PR=rac=0.8586956522P=t=inc=0.6739130435NTC1=2.8676433378NTC2=1.7694552663psp,1=psp,2=e1'=893.8233017765s1'=6.81912048e1''=-1497.3233528954s1''=7.2101764937e2'=-1544.5818592721s2'=7.2835612943e2''=-1323.9151372129s2''=6.9578705398ex=1.5798164832
Sheet1
Sheet2