Materials & Quantities

Pressure Reducing Valve (PRV) Sizing Calculator

Calculate the flow coefficient (Cv) needed to select a pressure reducing valve for a given flow rate and pressure drop.

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The design (peak) flow rate the valve must pass.

Use the peak demand flow rate expected through the valve, not just an average — undersizing for peak flow can cause excessive pressure drop or noise.

The target pressure drop across the valve at design flow.

This is the difference between the upstream (inlet) pressure and the desired downstream (reduced) pressure at the design flow rate.

Required flow coefficient (Cv)

11.2 Cv

Medium confidence

This is the standard simplified Cv equation for water service — always confirm the selected valve's actual rated Cv from the manufacturer's catalog at your specific operating conditions before final selection.

Then change the inputs to see how far the answer moves.

Show calculation logic

How this was calculated

Formula source(s)

  • Simplified valve flow coefficient equation for water: Cv = Q ÷ √(ΔP), where Q is flow rate (gpm) and ΔP is the pressure drop across the valve (psi) — the standard method used in valve manufacturers' catalogs to select a valve size for a target flow and pressure drop

Inputs used

Design Flow Rate
50 gal/min
Pressure Drop Across Valve
20 psi
Final result11.18 Cv

Confidence note: This is the standard simplified Cv equation for water service — always confirm the selected valve's actual rated Cv from the manufacturer's catalog at your specific operating conditions before final selection.

What this calculation does not cover

  • Cv answers flow, and what destroys pressure reducing valves is cavitation. Whether the valve survives its own drop is a separate check on the RATIO of the drop to the inlet pressure above vapor pressure, judged against that valve's own pressure recovery coefficient - a globe-style PRV taking most of its inlet pressure across one seat will flash and collapse bubbles on the downstream side, chewing out the trim and making a noise like gravel in the pipe. Large reductions are split across two valves in series or given anti-cavitation trim, and the Cv from this page will look entirely correct on the valve that fails.
  • Sized at one flow, and buildings run at all of them. A direct-acting PRV droops in outlet pressure as flow rises and creeps back up as flow falls away, so a valve chosen for peak demand sits almost shut at three in the morning and can let downstream pressure drift toward inlet at no flow. The standard answer on a riser is a parallel pair - a small valve carrying night and trickle flows, a large one that opens at peak - which is a decision a single-point Cv never puts in front of you.
  • A PRV turns everything downstream into a closed system. Water heated behind a valve that will not pass flow backward expands with nowhere to go, and the pressure climbs quickly enough to lift the relief valve on the heater, which is why a thermal expansion tank on the cold feed is required wherever a PRV, check valve or backflow preventer closes the system. That tank is sized from the heater volume and the pressure settings, and has nothing to do with Cv.

Add the equipment this sizes

This result is a specification — 11.2 Cv — 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 · v1.1.1

Regulatory standards & verification citations1
  1. Simplified valve flow coefficient equation for water: Cv = Q ÷ √(ΔP), where Q is flow rate (gpm) and ΔP is the pressure drop across the valve (psi) — the standard method used in valve manufacturers' catalogs to select a valve size for a target flow and pressure drop
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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.

Still deciding? Pressure-Reducing Valve vs Water Hammer Arrestor — the factors that actually differ, with no invented prices.

How to calculate pressure reducing valve (PRV) sizing in 3 steps

  1. Design Flow RateThe design (peak) flow rate the valve must pass.
  2. Pressure Drop Across ValveThe target pressure drop across the valve at design flow.
  3. Required flow coefficient (Cv)The tool computes the required flow coefficient (cv) from those figures and shows the formula, its sources, and a confidence rating alongside it.

Required flow coefficient (Cv) by design flow rate

Page defaults, not your figures above.

Design Flow RateRequired flow coefficient (Cv) (Cv)
20 gal/min4.47
40 gal/min8.94
60 gal/min13.4
80 gal/min17.9
100 gal/min22.4

Frequently asked questions

What is Cv and why does it matter for valve selection?
Cv (flow coefficient) is a standard rating used in manufacturers' catalogs that describes how much flow a valve passes for a given pressure drop. Calculating the Cv your application needs lets you pick a valve model/size whose rated Cv meets or exceeds that value.
Why does a larger pressure drop reduce the required Cv?
Because the equation divides flow rate by the square root of the pressure drop. For the same flow rate, a bigger pressure drop across the valve means the valve doesn't need to be as "open" a flow path to reach that flow, so a smaller Cv (and often a smaller valve) is enough.
Is this simplified equation accurate enough for final valve selection?
It's the standard simplified Cv equation for water service and works well for a first-pass estimate, but you should always confirm the selected valve's actual rated Cv from the manufacturer's catalog at your specific operating conditions before finalizing the selection.
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.