Hey, what's going on?

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 easy-to-use 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

Density of water as a function of temperature at pressure of 155 bar

 

 Specific heat capacity of water as a function of temperature at pressure of 155 bar

Specific heat capacity of water as a function of temperature at pressure of 155 bar

 

Thermal conductivity of water as a function of temperature at pressure of 155 bar

 

Dynamic viscosity of water as a function of temperature at pressure of 155 bar

Dynamic viscosity of water as a function of temperature at pressure of 155 bar

 

Saturation temperature of water as a function of pressure

 

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):

Density of water as a function of pressure at temperature of 323.15 K (50 C)

Specific heat capacity of water as a function of pressure at temperature of 323.15 K (50 C)

Thermal conductivity of water as a function of pressure at temperature of 323.15 K (50 C)

Dynamic viscosity of water as a function of pressure at temperature of 323.15 K (50 C)


Ready-to-use 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/p61TQ-Tw
      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)=-6.989D-6
       C(2)=6.312D-3
       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/p61TQ-Tw
      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)=2.276D-9
       C(3)=-3.755D-6
       C(2)=2.299D-3
       C(1)=-6.166D-1
       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/p61TQ-Tw
      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)=-5.712D-6
       C(1)=4.757D-3
       C(0)=-2.946D-1
       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/p61TQ-Tw
      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)=6.746D-13
       C(3)=-1.32D-9
       C(2)=9.609D-7
       C(1)=-3.093D-4
       C(0)=3.738D-2
       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/p61TQ-Tw
      REAL*8 FUNCTION WTRTST(P)
      IMPLICIT NONE
      INTEGER I
      REAL*8 VAR1,C(0:6),P,PBAR
      PBAR=P*1.0D-5
       C(6)=-4.795D-10
       C(5)=2.594D-7
       C(4)=-5.512D-5
       C(3)=5.847D-3
       C(2)=-3.288D-1
       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     ******************************************************************

Related links:

3 Responses to “Water thermodynamic properties (in polynomials) at pressure of 155 bar (typical PWR operating condition)”

  1. Peter said

    Great reference site! Thank you, I have been searching a lot for graphs like these.

    Syeilendra said..
    Hi Peter, you’re welcome.

  2. 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🙂

  3. […] Источник […]

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

 
%d bloggers like this: