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Liquid Relief Valve Sizing Calculator (API 520)

Size a pressure relief valve for liquid service using the API 520 Part I equation for certified valves, including the viscosity correction, and select the API 526 orifice letter.

API 520 liquidViscosity correction KvAPI 526 orificeCertified valves
%
SG
cP
Kd
Kw
Estimate only. Confirm the relief case, Kd and Kw with the valve manufacturer and your relief study.
Required effective area273.3 mm² (0.4235 in²)
API 526 orificeG (324.5 mm²), 84.2 % used
Viscosity correction Kv0.9999
Reynolds number568,600
Differential pressure1,100 kPa
How this result was calculated
  1. P1 = set × (1 + overpressure) = 1,100 kPag; ΔP = P1 − back pressure = 1,100 kPa
  2. A = 11.78 × Q ÷ (Kd × Kw × Kc × Kv) × √(G ÷ ΔP)
  3. Kv = (1 + 170/Re)−0.5, Re = Q × 18800 × G ÷ (µ√A), iterated: A = 273.3 mm²
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API 520 Liquid Sizing (SI)

A = 11.78 × Q ÷ (Kd × Kw × Kc × Kv) × √(G ÷ (P1 − P2))
Kv = (1 + 170 ÷ Re)−0.5, Re = Q × 18,800 × G ÷ (µ × √A)

A is the effective area in mm², Q the flow in L/min, G the specific gravity, P1 the relieving pressure and P2 the back pressure in kPa gauge, µ the viscosity in cP, Kd 0.65 for a preliminary size of a capacity certified valve, Kw the balanced bellows back pressure correction (1.0 for conventional valves discharging to atmosphere) and Kc 0.9 with a rupture disc.

Worked example

500 L/min of water set at 10 barg with 10 % overpressure discharging to atmosphere: ΔP = 1100 kPa, A ≈ 273 mm² after viscosity correction, so a G orifice (324.5 mm²) is selected.

Key insight: liquid relief valves reach full lift only with enough overpressure. Older non certified valves needed 25 % overpressure; for those, API 520 uses a different method.
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Frequently Asked Questions

Why is Kd lower for liquids?

Liquids do not expand through the nozzle, so the effective discharge coefficient for certified liquid valves is about 0.65 against 0.975 for gas.

When does viscosity matter?

For viscous liquids the Reynolds number falls and Kv drops below 1, needing a larger orifice. For water Kv is close to 1.

What is Kw?

The back pressure correction for balanced bellows valves. Conventional valves discharging to atmosphere use Kw = 1.

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