Engineering Reference & ASME Code Basis
1. Core Formula & Variable Definitions
API Standard 520 Part I (10th Edition, 2020) — §5.2 gas/vapor, §5.6 liquid sizing · API Standard 526 (7th Edition, 2017) — Table 1 standard effective orifice areas D–T · ASME BPVC Section VIII Division 1 UG-131 — certified relieving capacity (nameplate Kd)
Gas / vapor (API 520 §5.2, critical): Areq = W / (C · Kd · P1) · √(T · Z / M)
Liquid (API 520 §5.6): Areq = Q / (38 · Kd) · √(G / ΔP)
P1 = Pset · (1 + OP%/100) + Patm · select smallest API 526 letter with AAPI ≥ Areq
API 520 Part I (10th Ed.) · API 526 Table 1 · ASME VIII UG-131 screening Kd
US customary API 520 equations with metric/imperial I/O conversion. Screening Kd = 0.975 (gas) / 0.650 (liquid); Kb = Kw = Kv = Kc = Z = 1 (atmospheric discharge, non-viscous, no rupture disk). Orifice letters D–T from API 526 effective areas.
- A_req (Required effective orifice area) — Minimum API 520 discharge area (mm² / in²).
- P1 (Relieving absolute pressure) — P_set × (1 + OP/100) + Patm (bar abs / psia).
- W / Q (Required relieving capacity) — Gas mass flow (kg/h or lb/h) or liquid volume flow (L/min or GPM).
- Kd (Effective discharge coefficient) — Preliminary API 520 Kd (0.975 gas / 0.650 liquid).
- C (Gas constant from k) — C = 520 √[k (2/(k+1))^((k+1)/(k−1))] (US customary).
- A_API (API 526 effective orifice area) — Standard letter area D–T selected ≥ A_req.
2. Screening Rules Matching This Calculator
Preliminary API 520 required effective area with screening Kd, then maps to the smallest API 526 letter D–T with A_API ≥ A_req. Certified nameplate Kd and backpressure corrections are purchase steps.
Absolute relieving pressure. Typical non-fire overpressure OP = 10%; fire cases often 21%.
Preliminary API 520 defaults. ASME VIII UG-131 certified Kd overrides for final selection.
Atmospheric discharge, non-viscous, no rupture disk in series — screening simplification.
Balanced bellows Kb, superimposed backpressure, two-phase relief, and rupture-disk Kc need full API 520 Part I analysis.
Quick Reference Lookup Table
| Quantity | Value | Unit | Notes |
|---|---|---|---|
| P1 | 12.01 | bar abs | 10×1.10 + 1.013 |
| C | 356.1 | — | k = 1.40 |
| A_req | 506 | mm² | ≈ 0.785 in² |
| Orifice | H | — | API 526 A = 506 mm² |
| Margin | ~0% | — | Selected ≈ required |
Hero reports the selected API 526 letter and effective area. Default air duty (10 bar g · 5000 kg/h · 10% OP) selects orifice H (~506 mm²).
3. Fluid & Service Limits
PSV orifice screening is fluid- and service-driven. Body metallurgy is a separate corrosion / temperature selection — not computed here.
| Group / Regime | Range / Condition | Limit / Criterion | Engineering Notes |
|---|---|---|---|
| Gas / vapor (API 520 §5.2 critical) | T at relieving conditions | k sets C constant | Mass flow W with M, Z = 1 screening. Choked critical flow assumed. |
| Liquid (API 520 §5.6) | N/A | G = specific gravity | Volumetric Q with Kd = 0.650. Viscous correction Kv not applied in this tool. |
| API 526 orifice letters D–T | N/A | Smallest A_API ≥ A_req | Hero reports selected letter and area margin — confirm inlet loss and chatter on the data sheet. |
| Two-phase / reactive / viscous relief | N/A | Out of scope | HEM, runaway reaction, and high-viscosity duties need specialist API 520 methods — not this screening path. |
Code Applicability & Safety Boundaries
- API 520 Part I preliminary sizing — not ASME UG-125 / UG-131 certified relieving capacity
- Backpressure, inlet loss, dual-phase flow, and rupture-disk combinations require full API 520 analysis before purchase
4. Step-by-Step Worked Example
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Worked example — air PSV, 10 bar g · 5000 kg/h
Preliminary gas PSV sizing for air at 10 bar g set, 10% overpressure, 25 °C, W = 5000 kg/h.
Relieving pressure
Required area
API 526 letter
5. How to screen PSV / PRV orifice area
- 1
Choose gas or liquid
Gas uses W, M, T, and k; liquid uses Q and specific gravity G.
- 2
Enter set pressure and overpressure
Typical non-fire OP = 10%; fire case often 21%.
- 3
Enter relieving capacity
Mass flow for gas or volumetric flow for liquid in the active unit system.
- 4
Read letter and margin
Hero shows the API 526 letter; badges show A_req, P1, and capacity margin.
6. Frequently Asked Questions & Technical References
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A screening tool that sizes the API 520 required effective discharge area and maps it to the nearest API 526 orifice letter (D–T).
Preliminary API 520 values: Kd = 0.975 (gas/vapor) and Kd = 0.650 (liquid). Certified ASME UG-131 nameplate Kd overrides these for purchase.
Standard effective areas D through T (e.g. F = 0.307 in², H = 0.785 in², J = 1.287 in²). The calculator picks the smallest letter with A_API ≥ A_req.
No. It is preliminary MTO / line screening. Backpressure, two-phase HEM, viscosity (Kv), and rupture disks (Kc) are out of scope.