What is The Physics of TDH & Pump Selection?
Mathematical Foundation
Laws & Principles
- Static vs Dynamic: Static head is simple gravity. If your pit's float switch triggers at a depth of 10ft below grade, you have 10ft of pure static head. Dynamic head includes this static lift PLUS the friction resistance of the pipe routing.
- The 1.5-inch Bottleneck: Friction scales badly at high velocities. Pushing 60 GPM through a 1.5-inch pipe generates massive friction because the fluid velocity is too high. Upgrading the discharge pipe to 2.0-inches drastically drops the TDH because volumetric capacity grows exponentially against the pipe wall friction.
- Fitting Penalties: Every time water slams into a 90° elbow, it loses momentum. Engineers assign 'Equivalent Length' penalties to fittings. A standard 1.5-inch 90° elbow or a heavy brass check-valve adds the equivalent friction of 5 straight feet of pipe.
Step-by-Step Example Walkthrough
" You are installing a primary submersible sump pump in a deep basement. The vertical lift required from the pit to the ceiling joists is 12ft. The pipe then runs horizontally 20ft outside to the storm drain. The system uses four 90° elbows and one swing check-valve. The pipe is standard 1.5-inch Schedule 40 PVC. "
- 1. Tally Restrictions: 4 elbows + 1 check valve = 5 hard restrictions.
- 2. Equivalent Setup Length: 12ft vertical + 20ft horizontal = 32ft actual pipe. Add (5 restrictions × 5ft equivalent penalty) = 57 feet Total Equivalent Length.
- 3. Find Friction Factor: We want a healthy 40 GPM flow out of the pit. At 40 GPM, 1.5" PVC exerts ~4.5ft of head loss per 100ft of pipe.
- 4. Calculate Friction Head: 57ft Equivalent Length × (4.5 / 100) = ~2.5 feet of Friction Head.
- 5. Calculate TDH: 12ft Static Vertical Lift + 2.5ft Friction Head = 14.5ft Total Dynamic Head.
- 6. Select Pump: You review manufacturer pump curves (like Zoeller or Liberty). A standard 1/3 HP heavy-duty pump efficiently moves ~35-40 GPM at a 15ft TDH rating.