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Runaway Reaction Relief Calculator

Size emergency relief for runaway reactions with the DIERS two phase method, per API 520/521.

DIERSAPI 520API 521
Runaway Reaction Relief Calculator
Calculates relief requirements for exothermic runaway reactions using AIChE/DIERS methodology (Leung simplified two-phase vent sizing) with API 520 Part I for the vapor-orifice step. Determines required vent area, self-heat rate, TMR, and relief capacity for tempered, hybrid, and gassy systems.

Reaction Parameters

ft³
BTU/lb-mol
°F
lb-mol/ft³
1/hr

Vessel & Liquid Properties

lb
BTU/lb-°F
BTU/lb
ft³
%
lb/ft³
Typical: Cp = 0.4-0.6 BTU/lb-°F, λ = 150-200 BTU/lb

Relief Device Parameters

psig
psig
g/mol
Cp/Cv
-
API 520 Kd Values:
Conventional PSV: 0.975 | Balanced Bellows: 0.85
Rupture Disk (alone): 0.62 | Pilot Operated: 0.975

About This Calculator

Emergency relief sizing for runaway reactions per AIChE/DIERS methodology and API RP 520/521.

Key Parameters:

  • Self-Heat Rate: °F/min from Q/(m×Cp)
  • TMR: Time to Maximum Rate (adiabatic)
  • Vapor Rate: lb/hr from Q/λ

System Classification:

  • Tempered: Vapor-only, use API 520
  • Gassy: Two-phase, use DIERS HEM

Frequently Asked Questions

What is DIERS methodology for reaction relief sizing?

DIERS (Design Institute for Emergency Relief Systems) methodology calculates relief requirements for runaway exothermic reactions. It determines required vent area, self-heat rate, and time to maximum rate (TMR) for tempered, hybrid, and gassy systems per the AIChE/DIERS Project Manual and Leung (1986); the vapor-orifice step uses API 520 Part I (sizing). API 520 Part II is installation only.

What is the difference between tempered and gassy relief systems?

Tempered systems produce vapor-only relief where boiling absorbs the reaction heat, and standard API 520 sizing applies. Gassy systems produce non-condensable gas requiring two-phase venting, which uses the DIERS Homogeneous Equilibrium Model (HEM) for sizing.

What is self-heat rate in runaway reaction analysis?

Self-heat rate is the temperature rise per unit time (°F/min) caused by an exothermic reaction under adiabatic conditions. It is calculated from the heat generation rate divided by the product of reacting mass and specific heat capacity.

What discharge coefficient (Kd) values does API 520 specify?

API 520 specifies Kd = 0.975 for conventional PSVs and pilot-operated valves, Kd = 0.85 for balanced bellows valves, and Kd = 0.62 for rupture disks used alone.