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IAPWS R7-97 Steam Critical Flow

Calculate IAPWS R7-97 isentropic steam critical flow properties from stagnation temperature and pressure.

Flow properties can be calculated for either critical flow, or from a user defined flowing pressure. Flow properties are valid for the vapour phase only. For critical flow the mass flux is a maximum. theoretical critical Mach number equals 1. The Mach number will vary for a user defined flowing pressure. The flowing velocity is calculated from the stagnation enthalpy (ho = h + 1/2 V^2). The anomaly zone is set to region 2 (region 3 does not converge properly). Use the Result Plot option to plot isentropic flowing properties and isentropic temperature versus either flowing pressure or Mach number.

Note : There is an anomaly in the steam calculation for region 3 between the saturated vapour line, the region 2/3 boundary, and the critical pressure. Refer to the region 3 anomaly help page for more details (click the utility button on the data bar). IAPWS R7-97 is intended for industrial use, and is a simplified version of IAPWS R6-95 for scientific use. IAPWS R7-97 was developed as an improvement of the IFC-67 model.

Reference : IAPWS R7-97 Industrial Formulation for thermodynamic Properties of Water and Steam

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CALCULATOR : IAPWS R7-97 Saturated Steam [FREE]   ±

Calculate steam saturation pressure and temperature (IAPWS R7-97 section 8).

The saturation point can be calculated from either the saturation temperature, or the saturation pressure. The calculation is valid between 273.15 K, and the critical point, 647.096 K. Use the Result Plot option to plot the steam temperature and pressure and steam properties versus either temperature or pressure.

Note : The speed of sound is not calculated for liquid vapour mixtures.

Tool Input

  • anomtype : Region 2/3 Anomaly Type
  • proptype : Steam Phase
    • Xu : User Defined Saturated Steam Quality
  • sattype : Saturation Pressure Type
    • Psu : User Defined Saturation Pressure
    • Tsu : User Defined Saturation Temperature

Tool Output

  • ρ : Density
  • Cp : Specific Heat Constant Pressure
  • Cp-Cv : Delta Specific Heat (Cp - Cv)
  • Cp/Cv : Specific Heat Ratio
  • Cv : Specific Heat Constant Volume
  • Ps : Saturation Pressure
  • Ts : Saturation Temperature
  • Vc : Speed Of Sound
  • Z : Compressibility Factor
  • cvg : Convergence Check
  • h : Enthalpy
  • s : Entropy
  • u : Internal Energy
  • vg : Mole Specific Volume
  • vm : Specific Volume
  • wv : Specific Weight

CALCULATOR : IAPWS R7-97 Steam Table [FREE]   ±

Calculate steam table from temperature and pressure (IAPWS R7-97 Steam Table).

Steam table values can be calculated for water and steam, saturated water, saturated steam, saturated water and steam, metastable water, and metastable steam. The calculations for water and steam are valid between 273.15 K and 1073.15 K (0 to 100 MPa), and between 1073.15 K and 2273.15 K (0 to 50 MPa).

The saturated water and steam calculations are valid between 273.15 K and 647.096 K.

The metastable calculation is valid between 273.15 K and 647.096 K, and for pressure from the saturated vapour line to the 5% equilibium moisture line (user defined). Use the Result Plot option to plot the steam properties versus temperature and pressure.

Tool Input

  • anomtype : Region 2/3 Anomaly Type
  • proptype : Steam Phase
    • Pu : User Defined Pressure
    • Tu : User Defined Temperature
    • Xu : User Defined Saturated Steam Quality

Tool Output

  • ρ : Density
  • Cp : Specific Heat Constant Pressure
  • Cp-Cv : Delta Specific Heat (Cp - Cv)
  • Cp/Cv : Specific Heat Ratio
  • Cv : Specific Heat Constant Volume
  • P : Pressure
  • T : Temperature
  • Vc : Speed Of Sound
  • Z : Compressibility Factor
  • cvg : Convergence Check
  • h : Enthalpy
  • s : Entropy
  • u : Internal Energy
  • vg : Mole Specific Volume
  • vm : Specific Volume
  • wv : Specific Weight

CALCULATOR : IAPWS R7-97 Steam Critical Flow [FREE]   ±

Calculate steam isentropic critical flowing properties from inlet and outlet temperature and pressure (IAPWS R7-97 steam table).

The mass flux rate is a maximum at the critical point. theoretical critical point equals 1 for isentropic flow. Flow properties can be calculated at either the critical point or a user defined flowing pressure. The flowing velocity is calculated from the stagnation enthalpy. The anomaly zone is set to region 2 (region 3 does not converge properly). Use the Result Plot option to plot isentropic flowing properties and isentropic temperature versus either flowing pressure or Mach number.

Tool Input

  • proptype : Outlet Steam Phase
    • Pfu : User Defined Flowing Pressure
  • Po : Stagnation Pressure
  • To : Stagnation Temperature

Tool Output

  • ρ : Flowing Density
  • Cp : Flowing Specific Heat Constant Pressure
  • Cp-Cv : Flowing Delta Specific Heat (Cp - Cv)
  • Cp/Cv : Flowing Specific Heat Ratio
  • Cv : Flowing Specific Heat Constant Volume
  • Gf : Flowing Mass Flux
  • M : Mach Number
  • Pf : Flowing Pressure
  • Tf : Flowing Temperature
  • Vc : Flowing Speed Of Sound
  • Vf : Flowing Velocity
  • Xf : Flowing Steam Quality (Saturated Liquid And Vapour Only)
  • Z : Flowing Compressibility Factor
  • cvg : Convergence Check
  • h : Flowing Enthalpy
  • ho : Stagnation Enthalpy
  • s : Flowing Entropy
  • so : Stagnation Entropy
  • u : Flowing Internal Energy
  • vg : Flowing Mole Specific Volume
  • vm : Flowing Specific Volume
  • wv : Flowing Specific Weight