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LoadCairn / Chilled water flow

Chilled water flow (GPM) calculator.

Find the chilled-water flow a cooling load needs at its supply and return temperatures, and check the velocity in the pipe.

Inputs

Illustrative example · editable

Starts with a 100-ton cooling load, 44°F supply, 56°F return, plain-water factor, and an example pipe diameter. These are editable planning examples, not site operating data.

500 for plain water (8.33 lb/gal × 60 min/hr × 1 BTU/lb·°F). For glycol mixes, use the factor from your glycol supplier.

4.026 in is 4-inch Schedule 40 steel. Leave blank to skip velocity.

Planning estimate

Chilled-water flow requirement

Cooling load converts to flow using the entered fluid factor and water temperature difference.

Cooling load
1,200,000 BTU/hr
Equivalent load
100.00 tons
ΔT
12 °F
Flow
200.0 GPM
Metric flow
12.62 L/s
Metric flow
45.4 m³/h
Pipe velocity
5.04 ft/s
Calculation details

Estimate formula

  1. Load in BTU/hr = tons × 12,000; kW thermal × 3,412.142; or BTU/hr as entered.
  2. ΔT (°F) = return − supply.
  3. Flow (GPM) = BTU/hr ÷ (fluid factor × ΔT). Equivalent water expression: GPM = tons × 24 ÷ ΔT.
  4. Flow (L/s) = GPM × 0.0630902.
  5. Flow (m³/h) = GPM × 0.2271247.
  6. If pipe ID is entered, velocity (ft/s) = 0.4085 × GPM ÷ ID².

Current calculation

  1. 100 tons × 12,000 = 1,200,000 BTU/hr
  2. 56 − 44 = 12°F ΔT
  3. 1,200,000 ÷ (500 × 12) = 200 GPM
  4. 100 tons × 24 ÷ 12 = 200 GPM (water expression)
  5. 200 × 0.0630902 = 12.62 L/s; 200 × 0.2271247 = 45.4 m³/h
  6. 0.4085 × 200 ÷ 4.026² = 5.04 ft/s

Assumptions

  • Sensible load carried by the water loop at steady state.
  • The 500 factor assumes water near 60°F and changes slightly with temperature and more with glycol.
  • Velocity uses the pipe's inside diameter and a full pipe.

Sources

  • ASHRAE Handbook—Fundamentals (hydronic heat-transfer relationship q = 500 × GPM × ΔT)
  • ASHRAE Handbook—HVAC Systems and Equipment, hydronic heating and cooling chapter

Planning estimate only. Pump selection, pipe sizing and balancing need a mechanical engineer's design and manufacturer data.

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