Steam Control Valve Sizing
Calculation for Saturated and Superheated Steam ($C_v/K_v$) per ISA-75.01-2012 / IEC 60534-2-1 Standards.
1. Project Data
2. Process Data
| Case Description | Flow (lb/h) | Inlet P₁ (psig) | Outlet P₂ (psig) | Temp T₁ (°F) | Req. $C_v$ / $K_v$ |
|---|---|---|---|---|---|
| Maximum | / | ||||
| Normal | / | ||||
| Minimum | / |
3. Steam Properties
4. Valve Details
5. Specification Datasheet
| Point | Flow () | P₁ () | T₁ () | DP () | Req $C_v$ | Opening % | Regime | Inlet Mach | Outlet Mach | Exp. $Y$ |
|---|
Engineering Reference & Technical Basis
1. Flow Equation & Density
Steam sizing follows the compressible fluid equations of ISA-75.01. The key factor is accurate steam density ($\rho_1$) or specific volume ($\nu_1$) at inlet conditions.
- $W$: Mass flow rate ($lb/h$ or $kg/h$).
- $\rho_1$: Inlet steam density. For Saturated steam, this is a function of $P_1$ only. For Superheated, it depends on $P_1$ and $T_1$.
- $Y$: Expansion factor, accounting for density change across the valve orifice.
- Pressure Basis: Inputs are Gauge ($psig/barg$), calculated as Absolute ($psia/bar(a)$).
2. Choked Flow (Critical Pressure)
Just like gas, steam flow chokes when velocity reaches sonic conditions (Mach 1). This limits the maximum flow regardless of downstream pressure drop.
The specific heat ratio ($k$) varies:
- Dry Saturated Steam: $k \approx 1.31$ (Standard for dry/rapid expansion).
- Wet/Equilibrium Steam: $k \approx 1.13$.
3. Superheated vs Saturated
Saturated Steam: Use this mode for boilers, headers, and sterilizers where steam is at equilibrium. Temperature is fixed by pressure.
Superheated Steam: Common in turbines and power generation. Density is lower than saturated steam at the same pressure, requiring larger valve coefficients ($C_v$) for the same mass flow.
4. Velocity Limits (Erosion & Noise)
High velocity steam can cause severe erosion (wire-drawing) and noise.
| Location | Service Type | Max Mach Number |
|---|---|---|
| Valve Inlet | Continuous | ≤ 0.20 Mach |
| Valve Outlet | Continuous | ≤ 0.50 Mach |
| Valve Outlet | Intermittent / Relief | ≤ 0.70 Mach |
5. Valve Type Selection Guide (Steam Service)
- Best For: High-pressure throttling, severe service, and tight shutoff.
- Steam Performance: High $x_T$ (~0.75) allows for larger pressure drops before choking occurs. Excellent resistance to wire-drawing erosion on seats.
- Trade-off: Lower capacity ($C_v$) and higher cost/weight than rotary valves.
- Best For: Low-to-medium pressure steam, high flow requirements, high rangeability (100:1).
- Steam Performance: High capacity allows smaller valve sizes. However, lower $x_T$ (~0.35) means flow chokes earlier; susceptible to noise/vibration at high pressure drops.
- Trade-off: Seat materials must be selected carefully for high-temp steam.
- Best For: Large utility steam lines (> 6") with low pressure drop.
- Steam Performance: Economic choice for large pipes. Very low recovery ($x_T \approx 0.25$) severely limits pressure drop capability before choking/noise becomes excessive.
- Trade-off: Not suitable for precise control at low opening angles.