Water thermodynamic properties (in polynomials) at pressure of 155 bar (typical PWR operating condition)
Posted by Syeilendra Pramuditya on January 23, 2013
In the previous article, water thermodynamic properties at (nearly) atmospheric condition (p = 1 bar) were provided in form of easytouse polynomials based on XSteam libray.
In this article, water thermodynamic properties in form of polynomials at pressure of 155 bar, which is typical operating condition of PWR nuclear reactor, are provided. Please refer to XSteam homepage for more information.
Please note the range of applicability of the polynomials: 283.15 K < T < 613.15 K or equally 10 C < T < 340 C
Volumetric thermal expansion coefficient can be obtained from density equation by using this method.
The polynomials shown in this article are practically applicable for any pressure, since liquid water can be considered as an incompressible fluid. The relative differences of water properties between p = 1 bar and 160 bar are shown in the following table:
Property 
Relative difference between p = 1 bar and 160 bar

Density 
0.7%

Specific heat capacity 
0.8%

Thermal conductivity 
1.3%

Dynamic viscosity 
0.5%

The weak dependency of the properties on pressure is shown by the following figures (calculated using XSteam):
Readytouse Fortran functions
C ****************************************************************** C Calculation of water density as a function of temperature C WTRRHO > kg/m3 C T > Kelvin C Available from http://wp.me/p61TQTw REAL*8 FUNCTION WTRRHO(T) IMPLICIT NONE INTEGER I REAL*8 VAR1,C(0:6),T C(6)=0.0D0 C(5)=0.0D0 C(4)=0.0D0 C(3)=6.989D6 C(2)=6.312D3 C(1)=2.422D0 C(0)=1.351D3 VAR1=0.0D0 DO I=0,6 VAR1=VAR1+C(I)*T**DFLOAT(I) END DO WTRRHO=VAR1 RETURN END C ******************************************************************
C ****************************************************************** C Calculation of water specific heat capacity as a function of temperature C WTRCP > kJ/kg.K C T > Kelvin C Available from http://wp.me/p61TQTw REAL*8 FUNCTION WTRCP(T) IMPLICIT NONE INTEGER I REAL*8 VAR1,C(0:6),T C(6)=0.0D0 C(5)=0.0D0 C(4)=2.276D9 C(3)=3.755D6 C(2)=2.299D3 C(1)=6.166D1 C(0)=6.515D1 VAR1=0.0D0 DO I=0,6 VAR1=VAR1+C(I)*T**DFLOAT(I) END DO WTRCP=VAR1 RETURN END C ******************************************************************
C ****************************************************************** C Calculation of water thermal conductivity as a function of temperature C WTRTC > W/m.K C T > Kelvin C Available from http://wp.me/p61TQTw REAL*8 FUNCTION WTRTC(T) IMPLICIT NONE INTEGER I REAL*8 VAR1,C(0:6),T C(6)=0.0D0 C(5)=0.0D0 C(4)=0.0D0 C(3)=0.0D0 C(2)=5.712D6 C(1)=4.757D3 C(0)=2.946D1 VAR1=0.0D0 DO I=0,6 VAR1=VAR1+C(I)*T**DFLOAT(I) END DO WTRTC=VAR1 RETURN END C ******************************************************************
C ****************************************************************** C Calculation of water dynamic viscosity as a function of temperature C WTRMU > Pa.s C T > Kelvin C Available from http://wp.me/p61TQTw REAL*8 FUNCTION WTRMU(T) IMPLICIT NONE INTEGER I REAL*8 VAR1,C(0:6),T C(6)=0.0D0 C(5)=0.0D0 C(4)=6.746D13 C(3)=1.32D9 C(2)=9.609D7 C(1)=3.093D4 C(0)=3.738D2 VAR1=0.0D0 DO I=0,6 VAR1=VAR1+C(I)*T**DFLOAT(I) END DO WTRMU=VAR1 RETURN END C ******************************************************************
C ****************************************************************** C Calculation of water saturation temperature as a function of pressure C WTRTST > Kelvin C P > Pa C Available from http://wp.me/p61TQTw REAL*8 FUNCTION WTRTST(P) IMPLICIT NONE INTEGER I REAL*8 VAR1,C(0:6),P,PBAR PBAR=P*1.0D5 C(6)=4.795D10 C(5)=2.594D7 C(4)=5.512D5 C(3)=5.847D3 C(2)=3.288D1 C(1)=1.053D1 C(0)=3.705D2 VAR1=0.0D0 DO I=0,6 VAR1=VAR1+C(I)*PBAR**DFLOAT(I) END DO WTRTST=VAR1 RETURN END C ******************************************************************
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Related links:
 http://www.fluidprop.com
 Liquid Sodium Thermodynamic and Transport Properties
 Water properties online calculator
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Peter said
Great reference site! Thank you, I have been searching a lot for graphs like these.
Syeilendra said..
Hi Peter, you’re welcome.
JUSSI~E SOARES DA ROCHA said
Hi, Syeilendra,
This is a good guide!!! Thank’s
Jussiê Soares – Brasil
Syeilendra said..
Okay, you welcome Jussie, hope it was useful for you🙂
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