What is The Physics of Main Water Service Sizing?
Mathematical Foundation
Laws & Principles
- The Flush Valve Penalty: A commercial flushometer valve toilet requires a massive, instantaneous blast of 25 GPM to clear the bowl, significantly shifting Hunter's probability curve upwards. If a building contains even ONE flushometer valve, you MUST use the much larger 'Public / Flush Valve' sizing curve table, permanently increasing your pipe size requirements.
- The 8 FPS Copper Death Limit: The absolute maximum allowable velocity for cold water flowing through a copper pipe is 8 Feet Per Second (FPS) (reduced to 5 FPS for hot water). If water moves faster than 8 FPS, the violent kinetic turbulence will physically blast the copper atoms off the inside wall of the pipe, causing pinhole leak blowouts within weeks.
- Non-Linear Demand: 10 WSFU roughly translates to 8 GPM. However, 100 WSFU does NOT translate to 80 GPM; it drops significantly down to roughly 45 GPM because the statistical probability of 100 fixtures all turning on simultaneously is near zero.
Step-by-Step Example Walkthrough
" A master plumber is sizing the underground copper main water service line tying a new 3-bathroom residential home (Flush Tanks, no commercial valves) to the street meter. The goal is to provide enough GPM while keeping water velocity below the critical 8 FPS threshold. "
- 1. Summate the House Load: 3 tank toilets (2.2 WSFU each), 4 lavatory sinks (1.0 each), 3 showers (2.0 each), 1 dishwasher (1.5), 2 garden hose bibbs (2.5 each).
- 2. Add Fixture Units: 6.6 + 4.0 + 6.0 + 1.5 + 5.0 = 23.1 Total WSFU.
- 3. Apply Hunter's Curve: 23.1 WSFU on the 'Flush Tank' residential curve interpolates out to an estimated peak demand of roughly 15.5 GPM.
- 4. Calculate First Diameter Attempt: A 3/4-inch Copper Type L pipe carrying 15.5 GPM forces the liquid into a devastatingly tight bottleneck, raising the water velocity past 11 FPS (Instant failure).
- 5. Calculate Second Diameter Attempt: A 1-inch Copper pipe has a vastly larger cross-sectional area. It can easily carry 15.5 GPM at a smooth, safe velocity of 6.2 FPS.