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Relief Valve Sizing (API 520)

Required orifice area for vapor/gas relief per API 520 Part I. Auto-selects standard API letter orifice (D through T).

Reviewed by Christopher FloiedPublished Updated

This free online relief valve sizing (api 520) provides instant results with no signup required. All calculations run directly in your browser — your data is never sent to a server. Supports both metric (SI) and imperial units with built-in unit selection dropdowns on every input field, so you can work in whatever units your problem provides. Designed for engineering students and professionals working through coursework, design projects, or quick reference calculations.

Pressure Relief Valve Sizing — API 520

Required orifice area for vapor/gas service per API Standard 520 Part I. Select the next standard letter orifice that meets or exceeds the required area.

Back pressure ratio P₂/P₁ = 9.2% — Critical (choked) flow
Required Area A (in²)
0.0836 in²
Required Area A (cm²)
0.539 cm²
Required Area A (mm²)
53.93 mm²
Flow term √(M/TZ)
0.26912
W (lb/h)
1102.3
P₁ (psia)
159.54
Select API Orifice: Letter "D"
Area = 0.11 in² ≥ required 0.0836 in²

Required vs Standard API 520 Orifice Areas

Tip: hover to read values, click to pin a point for export

API 520 Standard Orifice Sizes

D
0.11
E
0.196
F
0.307
G
0.503
H
0.785
J
1.287
K
1.838
L
2.853
M
3.6
N
4.34
P
6.38
Q
11.05
R
16
T
26

Areas in in². Grayed = too small for this application.

API 520 formula: A = W / (C · K_d · K_b · K_c · P₁ · √(M/TZ)) [in inch-pound units] | C = 315 (API constant, k≈1.0)

How to Use This Calculator

1

Enter your input values

Fill in all required input fields for the Relief Valve Sizing (API 520). Most fields include unit selectors so you can work in your preferred unit system — metric or imperial, whichever matches your problem.

2

Review your inputs

Double-check that all values are correct and that you have selected the right units for each field. Incorrect units are the most common source of calculation errors and can produce results that are off by factors of 2, 10, or more.

3

Read the results

The Relief Valve Sizing (API 520) instantly computes the output and displays results with units clearly labeled. All calculations happen in your browser — no loading time and no data sent to a server.

4

Explore parameter sensitivity

Try adjusting individual input values to see how the output changes. This is a quick and effective way to develop intuition about how different parameters influence the result and to identify which inputs have the largest effect.

Formula Reference

Relief Valve Sizing (API 520) Formula

See calculator inputs for the governing equation

Variables: All variables and their units are labeled in the calculator interface above. Input fields accept values in multiple unit systems — select your preferred unit from the dropdown next to each field.

When to Use This Calculator

  • Use the Relief Valve Sizing (API 520) when solving homework or exam problems that require quick numerical verification of your hand calculations — instant feedback helps identify arithmetic errors before they propagate.
  • Use it during the early design phase to rapidly iterate on parameters and narrow down feasible configurations before committing time to detailed finite element simulations or full design packages.
  • Use it when reviewing a colleague's calculation or checking a vendor's data sheet for plausibility — a quick sanity check can prevent costly downstream errors.
  • Use it to generate reference data for a technical report or presentation without manual computation, ensuring consistent, reproducible numbers throughout the document.
  • Use it in the field when a quick estimate is needed and a full engineering software package is not available.

About This Calculator

The Relief Valve Sizing (API 520) is a precision engineering calculation tool designed for students, engineers, and technical professionals. Required orifice area for vapor/gas relief per API 520 Part I. Auto-selects standard API letter orifice (D through T). All calculations are performed using established engineering formulas from the relevant scientific literature and standards. Inputs support both metric (SI) and imperial unit systems, with unit conversion handled automatically — simply select your preferred unit from the dropdown next to each field. Results are computed instantly in the browser without sending data to a server, ensuring both speed and privacy. This calculator is intended as a supplementary tool for learning and design exploration; always verify results against authoritative references for safety-critical applications.

The Theory Behind It

Pressure relief valves (safety valves, pressure safety valves, PSVs) protect equipment from overpressure by opening when the system pressure exceeds a setpoint and venting fluid to atmosphere or a safe disposal system. The required relief capacity is computed based on the worst-case overpressure scenario — blocked outlet, fire exposure, reactive runaway, utility failure, or process upset. For gas/vapor service, ASME BPVC Section VIII provides the orifice sizing equation: A = W / (K·P_1·K_b·K_c·√(M/(T·Z))·√(γ·(2/(γ+1))^((γ+1)/(γ-1)))), where A is orifice area, W is required flow rate, K is discharge coefficient, P_1 is upstream pressure, M is molecular weight, T is temperature, Z is compressibility, and γ is specific heat ratio. For liquid service: A = W/(38·K_d·K_c·K_v·√(ρ·ΔP)), where ΔP is the set pressure minus back pressure. Standard orifice sizes (API 526) are specified by letters D, E, F, G, H, J, K, L, M, N, P, Q, R, T with specific areas. Relief valves must handle the full required flow at 110% of set pressure for gas service or 110% for fire sizing of liquid service. Modified Omega methods handle two-phase relief (flashing liquids), which is more complex than single-phase. Proper relief valve sizing is critical for process safety and is required by ASME, API, and OSHA regulations.

Real-World Applications

  • Pressure vessel protection: every pressure vessel must have relief valves sized for the worst-case overpressure scenario per ASME Section VIII code requirements.
  • Reactor overpressure protection: chemical reactors need relief valves sized for runaway reaction scenarios, often two-phase flashing service.
  • Storage tank protection: fire sizing for atmospheric and low-pressure storage tanks uses API 2000 standards and heat absorption calculations.
  • Pipeline and pump protection: relief valves on pumped systems prevent dead-head pressures from exceeding pipe or equipment ratings.
  • Compressed gas systems: relief valves on compressed air, natural gas, and industrial gas systems prevent overpressure from temperature rises or regulator failures.

Frequently Asked Questions

What's a pressure relief valve?

A safety device that automatically opens to release pressure when the system exceeds a preset pressure, then closes when pressure returns to normal. Required on all pressure vessels and most pressurized equipment by ASME, OSHA, and industry codes. PRVs prevent catastrophic overpressure failures and are the last line of defense against equipment rupture.

How do I size a relief valve?

Determine the worst-case overpressure scenario and required relief rate. For gas service, use ASME orifice sizing equation with parameters for your specific gas. For liquid service, use liquid sizing equation. Select a standard orifice size (API 526) that provides at least the required area. Include derating factors for back pressure, viscosity (for liquids), and two-phase flow if applicable.

What's the difference between PSV and PRV?

Terms are often used interchangeably. Pressure Safety Valve (PSV) or Safety Relief Valve is typically used for rapid-opening valves designed for gas/vapor service with pop action (full open very quickly). Pressure Relief Valve (PRV) or just 'relief valve' is typically used for proportional-opening valves for liquid service that open gradually. The ASME and API standards use these terms more specifically in context.

What's fire sizing?

Sizing relief valves for external fire exposure scenarios. Heat input from a pool fire causes liquid in a tank or vessel to vaporize rapidly, requiring significant relief capacity. API 521 provides methods for calculating heat input (Q = F · A^0.82, where F is fire factor and A is wetted surface area) and subsequent vapor generation. Fire sizing is often the governing case for relief valve selection.

What happens if a relief valve is undersized?

The vessel or equipment pressure rises above the set point and can exceed the design pressure. If it reaches the burst pressure, catastrophic rupture occurs with potential for explosion, fire, and serious injury. This is why relief valve sizing is conservatively done and regularly inspected. OSHA and ASME require documented relief valve calculations with appropriate margin.

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References & Further Reading

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