Unit: kJ/kg (SI) Β· BTU/lb (Imperial)
The total thermodynamic energy content per unit mass of a substance β the sum of its internal energy and the flow work (pressure Γ specific volume). Enthalpy is the fundamental quantity driving all heat and mass balance calculations in steam systems. The difference in enthalpy between two states determines how much heat is exchanged.
h = u + PΒ·v [kJ/kg]
Superheated steam: h β 2500β3500 kJ/kg
Compressed water: h β h_f(T) at low pressure
π‘ At 100 bara / 500 Β°C: hβ β 3374 kJ/kg. At 100 bara / 420 Β°C: hβ β 3244 kJ/kg. The 130 kJ/kg difference is removed by the quench water.
Unit: kJ/(kgΒ·K)
A measure of molecular disorder in the steam. Entropy is used to assess the quality and efficiency of thermodynamic processes. An ideal (isentropic) turbine expansion maintains constant entropy. Entropy increases in irreversible processes (throttling, mixing, heat transfer across finite temperature differences). The calculator displays entropy for completeness and turbine stage analysis.
ds = Ξ΄Q_rev / T (Clausius inequality)
Typical superheated steam: s β 5.8β7.5 kJ/(kgΒ·K)
Unit: mΒ³/kg Β· ftΒ³/lb
The volume occupied per unit mass of steam. Specific volume increases dramatically as steam is superheated and decreases as pressure rises. It is the reciprocal of density and is essential for sizing pipes, nozzles, and valves β high specific volume at low pressure means large pipe diameters are required to keep velocities within acceptable limits.
v = V / m [mΒ³/kg]
Sat. steam at 1 bara: v β 1.694 mΒ³/kg
Superheated at 100 bara/500Β°C: v β 0.0032 mΒ³/kg
π‘ The thousand-fold difference in specific volume between low-pressure exhaust steam and high-pressure steam explains why LP turbine sections are physically enormous compared to HP sections.
Saturation Temperature
T_sat
Unit: Β°C Β· Β°F
The temperature at which water boils (liquid β vapour) or steam condenses (vapour β liquid) at a given pressure. It is a single-valued function of pressure for pure water. Above T_sat the steam is superheated; below it, condensation occurs. The calculator auto-computes T_sat for the entered steam pressure using the IAPWS-IF97 Wagner equation.
Wagner eq. (IAPWS-IF97 Β§8.1):
ln(P/P_c) = (T_c/T)Β·[aβΟ + aβΟ^1.5 + aβΟΒ³ + aβΟ^3.5 + aβ
Οβ΄ + aβΟ^7.5]
where Ο = 1 β T/T_c
π‘ At 100 bara: T_sat = 311.0 Β°C. Steam at 500 Β°C is 189 Β°C superheated. After quenching to 420 Β°C it still has 109 Β°C superheat margin β safely above saturation.
Superheat / Superheat Margin
ΞT_sh
Unit: Β°C Β· Β°F (temperature difference)
The difference between actual steam temperature and saturation temperature at the same pressure: ΞT_sh = T_steam β T_sat(P). It quantifies how far the steam is from condensation. A minimum superheat margin (typically 10β30 Β°C) must be maintained at the desuperheater outlet to prevent moisture formation in downstream pipework. The calculator warns if the target outlet temperature is set too close to saturation.
ΞT_sh = T_outlet β T_sat(P_steam) [Β°C]
Minimum recommended: ΞT_sh β₯ 10 Β°C
ASME/IEC best practice: ΞT_sh β₯ 14β28 Β°C
π‘ If P = 100 bara (T_sat = 311 Β°C) and you quench to Tβ = 320 Β°C, the margin is only 9 Β°C β dangerously low. The calculator shows an orange warning badge.
Unit: bara (SI) Β· psia (Imperial)
The pressure at which water and steam coexist in equilibrium at a given temperature. For pure water this is a unique function of temperature. Understanding P_sat is critical for avoiding steam condensation in pipework, for setting safety valve setpoints, and for interpreting steam quality (dryness fraction) in wet steam systems.
At 100 Β°C: P_sat = 1.013 bara
At 200 Β°C: P_sat = 15.54 bara
At 311 Β°C: P_sat = 100.0 bara
Critical point: 374.14 Β°C / 220.64 bara
Saturated Liquid Enthalpy
h_f
Unit: kJ/kg
The specific enthalpy of liquid water at the saturation point β i.e., the enthalpy of water that is just on the verge of boiling at the given pressure. It is the minimum enthalpy state for steam/water at that pressure. Compressed (subcooled) liquid water has enthalpy slightly below h_f. The quench water enthalpy h_w is approximately equal to h_f at the water temperature.
h_f at 100 Β°C (1.013 bara): 419.1 kJ/kg
h_f at 200 Β°C (15.54 bara): 852.4 kJ/kg
h_f at 311 Β°C (100 bara): 1408 kJ/kg
Saturated Vapour Enthalpy
h_g
Unit: kJ/kg
The specific enthalpy of saturated (dry) steam at the saturation point β liquid water that has just fully evaporated. h_g = h_f + h_fg, where h_fg is the latent heat of vaporisation. When steam is superheated, its enthalpy exceeds h_g. The enthalpy gap (hβ β h_g) represents the "sensible superheat" that must be removed before condensation could occur.
h_fg (latent heat) at 100 Β°C: 2257 kJ/kg
h_fg at 200 Β°C: 1941 kJ/kg
h_fg at 311 Β°C (100 bara): ~1317 kJ/kg
h_fg β 0 as P β critical point
π‘ The decreasing latent heat at high pressures means high-pressure steam quench systems require more precise water flow control β small flow changes have a larger temperature effect.
Unit: kg/h Β· kg/s Β· t/h Β· lb/h
The mass of fluid passing a cross-section per unit time. In the desuperheater energy balance, three mass flow rates appear: inlet steam (αΉ_in), quench water (αΉ_w), and outlet steam (αΉ_out). By conservation of mass: αΉ_out = αΉ_in + αΉ_w. The quench water fraction (αΉ_w / αΉ_in) is the key design parameter β typically 1β8% for normal operation.
αΉ_w / αΉ_in = (hβ β hβ) / (hβ β h_w)
αΉ_out = αΉ_in + αΉ_w
αΉ_w = αΉ_in Γ (hβ β hβ) / (hβ β h_w)
Valve Flow Coefficient
C_v
Unit: US gpm / βpsi (dimensionless by convention)
A standardised capacity index for control valves defined as the flow of water in US gallons per minute through the valve when the pressure drop across it is 1 psi. Larger C_v = higher flow capacity. The required C_v is calculated from the design flow rate and the differential pressure (water supply pressure minus steam line pressure). The installed C_v must exceed the required C_v by a margin (typically 10β25%) to allow for control rangeability.
C_v_required = Q_gpm / β(ΞP_psi / SG)
Sizing ratio = C_v_installed / C_v_required β₯ 1.10
ISA S75.01 / IEC 60534-2
π‘ An undersized valve (ratio < 1.0) cannot pass the required flow β the desuperheater will be unable to maintain temperature setpoint at design conditions. A grossly oversized valve causes poor controllability and valve hunting.
Cavitation & Cavitation Index
Ο
Dimensionless
Cavitation occurs when the local pressure inside a valve drops below the vapour pressure of the liquid, causing vapour bubbles to form and then violently collapse as pressure recovers β producing noise, vibration, and severe erosion damage to valve trim and body. The cavitation index Ο compares the actual pressure recovery to the threshold for vapour formation. Ο < 2.0 indicates cavitation risk in the quench water control valve.
Ο = (P_in β P_vap) / (P_in β P_out)
Risk threshold: Ο < 2.0
P_vap = saturation pressure at water temperature
π‘ Hot quench water (close to its own boiling point) is most prone to cavitation. Keeping water temperature low or using anti-cavitation valve trim reduces this risk.
Flashing & Choked Flow
β
Flow regime classification
Flashing occurs when the outlet pressure of the control valve falls below the vapour pressure of the water β so the water exits as a two-phase steam/liquid mixture rather than pure liquid. This changes the flow regime entirely and can cause valve instability. Choked flow occurs when the flow velocity through the valve reaches sonic conditions β further reducing outlet pressure no longer increases flow rate. Both conditions must be detected and addressed in valve sizing.
Flashing: P_out < P_vap(T_w)
Choked: ΞP > F_LΒ² Γ (P_in β F_F Γ P_vap)
F_L = liquid pressure recovery factor (~0.9 for globe valves)