Valve Selection Handbook: Engineering Fundamentals for Selecting the Right Valve Design for Every Industrial Flow Application, Fifth Edition

Chapter 7: Sizing Pressure Relief Devices

OVERVIEW

The optimum sizing of pressure relief devices is essential to safely protect a piping system from overpressurization. An undersized system would not be in a position to relieve the system effectively and an oversized system will result in unnecessary material and labor costs.

Flow-through pressure relief devices may be of either one of the following categories. Two of these have subcategories:

  • Gas, or vapor, flow

  • Subsonic or non-choked flow

  • Sonic or choked flow

  • Liquid flow

  • Mixed-phase flow (vapor plus liquid)

  • Gas containing liquid droplets

  • Liquid containing gas bubbles

  • Liquid flashing to vapor through valve

Each of these has an appropriate formula or procedure for determining the required nozzle size or flow rate. In the case of mixed-phase flow, however, firm recommendations from statutory bodies and standard organizations on appropriate sizing equations are not yet available. [1]

The sizing equations are presented in SI and imperial units. For nomenclature refer to Table 7-1 and Figure 7-1.

Table 7-1: Nomenclature

Mixed SI Units

Mixed U.S. Units

A

Flow area

mm 2

in. 2

C

Gas flow constant for sonic nozzle flow, based on isentropic coefficient k at standard conditions (See Table 7-2. If k is unknown, use C = 315 for a conservative result)

d

Internal pipe diameter

mm

in.

f

Pipe friction factor = number of velocity heads lost in length of pipe equal to diameter

F

Gas flow constant for subsonic nozzle flow, based on isentropic coefficient k at standard conditions and the absolute...

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