Chilled water systems are designed for a specific delta-T. When that number drops, pump energy explodes.
The capacity formula
Q (BTU/hr) = 500 × GPM × ΔT
Where:
500 = constant (8.33 lb/gal × 1.0 BTU/lb·°F × 60 min/hr)
GPM = water flow rate
ΔT = return temperature − supply temperature
Design vs actual
Design conditions:
Supply: 44°F
Return: 56°F
ΔT: 12°F
Flow: 400 GPM
Q = 500 × 400 × 12 = 2,400,000 BTU/hr = 200 tons
When delta-T drops to 6°F (common in real buildings):
Supply: 44°F
Return: 50°F
ΔT: 6°F
Flow: 400 GPM
Q = 500 × 400 × 6 = 1,200,000 BTU/hr = 100 tons
Half the capacity at the same pump energy.
The operator response
To recover 200 tons at 6°F delta-T:
GPM = Q / (500 × ΔT)
GPM = 2,400,000 / (500 × 6)
GPM = 800
Double the flow. But pump power follows the cube law:
P2 / P1 = (GPM2 / GPM1)³
P2 / P1 = (800 / 400)³ = 8
In practice, the system curve limits the actual increase, but pump power typically goes from 50 kW to 150–200 kW.
Design: 400 GPM, 50 kW pump, 200 tons
Actual: 800 GPM, 200 kW pump, 200 tons (recovered)
Extra pump energy: 150 kW × 3,000 hrs/yr = 450,000 kWh
Extra cost at $0.12/kWh: $54,000/year
Why delta-T drops
Three common causes:
1. Three-way valves bypassing water around coils
→ Bypass water mixes with return, lowers return temp
→ Fix: convert to two-way valves with VFD on pumps
2. Oversized coils at part load
→ Water passes through too fast to warm up
→ Fix: adjust control sequences, reduce flow at part load
3. Dirty coils (water-side fouling)
→ Scale or biofilm reduces heat transfer
→ Fix: clean and treat water chemistry
The 60-second diagnostic
1. Clamp temp sensor on CHW supply pipe
2. Clamp temp sensor on CHW return pipe
3. Subtract
Design ΔT: 10–12°F (5.5–6.7°C)
Problem zone: < 8°F under normal load
Critical: < 6°F
If delta-T is below 8°F during normal cooling load, the system has low delta-T syndrome.
Air-side delta-T for comparison
The same concept applies to air systems:
Q (BTU/hr) = 1.08 × CFM × ΔT
Normal ranges:
Residential cooling (DX): 14–22°F
Gas furnace: 40–70°F
Heat pump heating: 25–35°F
Both formulas measure the same thing: how much heat the fluid picks up (or gives up) as it passes through the heat exchanger.
For quick delta-T calculations with automatic capacity output for both air and water systems, use the HVAC delta T calculator on CalcEngineer.
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