Oil Linear Density model

The linear density model requires the input of a reference density, pressure and temperature, and compressibility and expansion coefficients. See example below:

EOS OIL
  DENSITY LINEAR
    REFERENCE_VALUE 833.5d0       !den0 [kg/m3]
    PRES_REF_VAULE 5.516d6        ![Pa]
    TEMP_REF_VALUE 94.8           ![°C]
    COMPRESS_COEFF 1.672d-7       !C [kg/m3/Pa]
    THERMAL_EXPANSION_COEFF 0.0d0 !E [kg/m3/°C]
  END
  ENTHALPY LINEAR_TEMP 1.d3       !c oil [J/kg/°C]
  VISCOSITY CONSTANT 0.987d-3
END

The mathematical expression of the model is reported below:

\[\rho= \rho_0 + C ( p − p_0 ) − E ( T − T_0 )\]

where:

\[\begin{split}\begin{split} & p &= \mbox{pressure [Pa]} \\ &T &= \mbox{temperature [°C]} \\ &\rho_0 &= \mbox{reference density [kg/m3]} \\ &p_0 &= \mbox{reference pressure [Pa]} \\ &T_0 &=\mbox{reference temperatures [°C]} \\ &C &=\mbox{compressibility coefficient [kg/m3/Pa]} \\ &E &=\mbox{thermal expansion coefficient [kg/m3/°C]} \end{split}\end{split}\]

Units cannot be specified, therefore values must be entered in the units prescribed above.