Materials & Quantities

Backflow Preventer Relief Valve Discharge Calculator

Calculate the discharge flow rate from a reduced-pressure backflow preventer's relief valve, for air gap/drain sizing.

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The open cross-sectional area of the relief valve's discharge orifice.

Available from the backflow preventer manufacturer's relief valve data. Larger reduced-pressure assemblies typically have larger relief orifices.

An empirical factor accounting for orifice flow contraction and friction losses.

A sharp-edged orifice typically has a discharge coefficient around 0.6. Rounded or nozzle-shaped orifices can be higher.

The pressure head driving flow through the relief valve orifice, expressed as a water column height.

This is the differential pressure across the relief valve at the moment of full discharge, converted to an equivalent height of water.

Relief valve discharge flow

36.8 gal/min

Medium confidence

Confirm the actual relief valve orifice area and discharge coefficient from the specific backflow preventer manufacturer's data — this is a general orifice-flow estimate, not a substitute for the manufacturer's rated relief capacity.

Discharge velocity
913.37 ft/min
Then change the inputs to see how far the answer moves.

Show calculation logic

How this was calculated

Formula source(s)

  • Discharge flow = orifice area × discharge coefficient × √(2×g×head), the standard orifice discharge equation applied to a relief valve opening, used to size the air gap fitting or floor drain that must handle the preventer's full relief discharge

Inputs used

Relief Valve Orifice Area
0.78 in²
Discharge Coefficient (Typically ~0.6 for a Sharp-Edged Orifice)
0.6
Available Pressure Head
10 ft

Intermediate steps

Discharge velocity
913.37 ft/min
Final result36.77 gal/min

Confidence note: Confirm the actual relief valve orifice area and discharge coefficient from the specific backflow preventer manufacturer's data — this is a general orifice-flow estimate, not a substitute for the manufacturer's rated relief capacity.

What this calculation does not cover

  • Takes the head as given and does not derive it. During a genuine relief event the driving head is the supply-side pressure at that instant, not a static column — a 70 psi (483 kPa) main is about 50 m (164 ft) of water, not the 3 m (10 ft) the field opens on — and because flow goes with the square root of head, an assumed head that low understates the discharge by roughly a factor of four.
  • Says nothing about how the discharge is piped. Relief from a reduced-pressure assembly must reach the drain through an air gap and never a direct connection — hard-piping it into the waste system rebuilds the exact cross-connection the assembly was installed to prevent, and it also means a relief event pushes into the drain instead of showing itself on the floor where someone notices it.

Add the equipment this sizes

This result is a specification — 36.8 gal/min — not a quantity. Put the thing it sizes into your project: how many, what you call it, and your supplier’s price.

Computed in your browser — nothing you enter is uploaded. Presented in US customary units and US trade terminology. Where a formula follows a published standard, that standard and its edition are cited beside it on this page; where none governs, the page says so. Local amendments override model codes — verify against the code in force where you build.

Sources checked 2026-09-06 · in the site-wide review of 2026-09-06 · v1.0.1

Regulatory standards & verification citations1
  1. Discharge flow = orifice area × discharge coefficient × √(2×g×head), the standard orifice discharge equation applied to a relief valve opening, used to size the air gap fitting or floor drain that must handle the preventer's full relief discharge
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Now that you have the number

These guides cover the work this quantity is for — the first ones run this calculator inside the section that raises the question.

  • The discharge is two pipes with two different rules and a safety device between them, and the bend count on the second one is what sizes it.

  • Sizing a Water Feature's Pumpuses this calculator

    A fountain pump gets sized twice — once for turnover, once for the plume — and the mains top-up brings a relief discharge the courtyard has to swallow.

  • The meter size box on a utility application is a twenty-year charge, and the relief port under the assembly decides how big the drain beneath it must be.

How to calculate backflow preventer relief valve discharge in 4 steps

  1. Relief Valve Orifice AreaThe open cross-sectional area of the relief valve's discharge orifice.
  2. Discharge Coefficient (Typically ~0.6 for a Sharp-Edged Orifice)An empirical factor accounting for orifice flow contraction and friction losses.
  3. Available Pressure HeadThe pressure head driving flow through the relief valve orifice, expressed as a water column height.
  4. Relief valve discharge flowThe tool computes the relief valve discharge flow from those figures and shows the formula, its sources, and a confidence rating alongside it.

Relief valve discharge flow by relief valve orifice area

Page defaults, not your figures above.

Relief Valve Orifice AreaRelief valve discharge flow (gal/min)
0.4 in²18.8
0.6 in²28.2
0.8 in²37.7
1 in²47.1
1.2 in²56.5
1.4 in²65.9

Frequently asked questions

Why does this matter for air gap or drain sizing?
A reduced-pressure backflow preventer's relief valve can discharge its full rated flow instantaneously if the assembly senses a pressure fault. The air gap fitting or floor drain receiving that discharge must be able to handle this flow rate without flooding, so this figure is used to size that drainage path.
How accurate is the 0.6 discharge coefficient?
0.6 is a commonly used approximation for a sharp-edged orifice, but actual relief valve geometry varies by manufacturer and model. Confirm the manufacturer's actual orifice area and discharge coefficient (or a directly rated relief flow) rather than relying solely on this generic estimate.
Is this the same as the backflow preventer's rated flow capacity?
No — this estimates the relief valve's discharge flow during a relief event, which is a separate figure from the assembly's normal supply flow capacity. Always verify against the manufacturer's published relief discharge data for the specific model before final drain sizing.
Preliminary estimate, not certified engineering. This tool produces an indicative quantity calculation for planning purposes only — it is not a certified structural analysis, a guaranteed material takeoff, or a substitute for building department approval. Always verify measurements on-site and have a licensed contractor or structural engineer review any load-bearing, code-sensitive, or safety-critical work before purchasing materials or starting construction. Spotted an arithmetic or standards error? Report it to contact@craftquantities.com with your inputs — a confirmed fix gets a permanent check of its own, so the same mistake cannot come back.