Hydronic Flow Rate Calculator

This hydronic flow rate calculator finds how much water a heating or cooling circuit must move to carry a given heat load. Enter the heat output, the flow and return temperatures, and the fluid, and the hydronic flow rate calculator returns the flow in L/h, L/min, m³/h, and US gpm, the mass flow, and the smallest pipe that keeps the water velocity quiet.

kW
°C
°C
m/s

Results

Enter your values and press Calculate to see results.

The Hydronic Flow Rate Calculator is part of our Cooling & Heating collection. Browse more cooling & heating to size, convert, and check your work alongside this tool.

What the hydronic flow rate calculator does

In a hydronic system, water carries heat from the boiler or heat pump to radiators, underfloor loops, or fan coils. The heat it carries is the flow times the specific heat of the water times the temperature drop between flow and return. Fix the heat load and the temperature difference, and the flow follows. The hydronic flow rate calculator solves that balance, handles glycol mixes, and checks the flow against pipe sizes so the system is not noisy.

Flow (L/h) = Heat (W) × 3.6 ÷ (ρ × cp × ΔT) ≈ 0.86 × W ÷ ΔT

Hydronic GPM formula

The heat balance for a water circuit:

Q = V̇ × ρ × cp × ΔT
US units: gpm = BTU/h ÷ (500 × ΔT °F)

For water ρ × cp is about 4.14 kJ per liter and kelvin, which gives the handy rule of 0.86 L/h per watt per kelvin. In US units the 500 comes from 8.33 lb per gallon × 60 minutes × 1 BTU per lb °F. Glycol mixes carry less heat per liter, so a 35% mix needs about 7% more flow. For the pipe check, the velocity is the flow divided by the internal cross-section, and the calculator picks the smallest listed size that stays at or below the maximum velocity.

Hydronic flow rate calculator example

A 10 kW heating circuit running at 55 °C flow and 45 °C return, plain water, copper pipe:

Flow = 10,000 × 3.6 ÷ (0.99 × 4.18 × 10) = 870 L/h (3.83 gpm)
28 × 1.5 copper: 0.49 m/s, within the 0.7 m/s limit

In US units, 34,100 BTU/h at a 20 °F drop is 34,100 ÷ (500 × 20) = 3.4 gpm. Halving the temperature difference doubles the flow, which is why low-temperature heat pump systems need larger pipes and pumps than boilers.

How to use the boiler gpm calculator

Enter the heat output of the circuit or the whole system in kW (1 kW is 3,412 BTU/h). Enter the flow and return temperatures; the difference, delta T, is what counts. Pick plain water or a propylene glycol mix for systems that must not freeze. Choose the pipe type and keep the maximum velocity at about 0.7 m/s for homes, or raise it toward 1.2 m/s for mains in plant rooms. Press Calculate.

Reading the heating water flow rate

The flow is what the circulator must deliver through that circuit; add the flows of parallel circuits for the main. Boilers usually run with a 10 to 20 K (20 °F) drop, heat pumps with 5 to 7 K, and underfloor heating with 5 to 10 K. A higher flow than needed wastes pump energy and causes noise; a lower flow leaves the far rooms cold. Use the result to set balancing valves and to pick the pump duty point.

When to use a gpm calculator for hvac

  • Sizing the circulator pump for a boiler or heat pump
  • Balancing radiator and underfloor heating circuits
  • Choosing pipe sizes for a new heating system
  • Checking chilled water flow to fan coils
  • Working out flow for glycol solar or ground loops

Common hydronic flow rate calculator mistakes

  • Mixing kelvin and °F. A 10 K drop is an 18 °F drop.
  • Ignoring glycol. Glycol mixes need more flow.
  • Using the outside pipe diameter. Velocity depends on the inside bore.
  • Oversizing the pump. Too much flow means noise and wasted power.

Tips for heating water flow rate

  • Design heat pump circuits for a 5 to 7 K drop.
  • Keep home pipes below about 0.7 m/s.
  • Balance radiators by presetting their valves.

Hydronic pipe sizing and pump selection

Once the flow is known, the pipe size sets the pressure drop and the pump head. Doubling the velocity roughly quadruples the friction loss, so a pipe one size up can cut the pump energy sharply. Add the resistance of boiler, valves, and the longest circuit, then pick a pump whose curve meets that flow and head; the pump power calculator turns flow and head into pump power. Variable speed circulators then trim the speed to match the real demand.

Radiator flow rate and balancing

Each radiator needs a flow in proportion to its heat output at the chosen temperature drop. A 1.5 kW radiator at 10 K takes about 130 L/h; set that on the valve presetting so nearby radiators do not steal flow from distant ones. This balancing step is required in Germany when heating systems are renewed. Measure the real flow and return temperatures with the delta T calculator to confirm the balance, and remember that every closed system needs an expansion vessel sized with the expansion tank calculator.

Heating water flow rate chart

Plain water, by heat output and temperature difference:

Heat outputΔT 5 K (9 °F)ΔT 10 K (18 °F)ΔT 20 K (36 °F)
5 kW (17,100 BTU/h)870 L/h (3.83 gpm)435 L/h (1.92 gpm)217 L/h (0.96 gpm)
10 kW (34,100 BTU/h)1,740 L/h (7.66 gpm)870 L/h (3.83 gpm)435 L/h (1.92 gpm)
15 kW (51,200 BTU/h)2,610 L/h (11.49 gpm)1,305 L/h (5.75 gpm)652 L/h (2.87 gpm)
20 kW (68,200 BTU/h)3,480 L/h (15.32 gpm)1,740 L/h (7.66 gpm)870 L/h (3.83 gpm)
30 kW (102,400 BTU/h)5,220 L/h (22.98 gpm)2,610 L/h (11.49 gpm)1,305 L/h (5.75 gpm)
50 kW (170,600 BTU/h)8,699 L/h (38.3 gpm)4,350 L/h (19.15 gpm)2,175 L/h (9.58 gpm)

Hydronic pipe sizing at 10 K and 0.7 m/s

Pipe type5 kW10 kW20 kW
Copper EN 105718 x 128 x 1.535 x 1.5
Steel EN 10255DN 15DN 20DN 32
PEX-AL-PEX20 x 232 x 340 x 3.5
Copper type L3/4 in type L1 in type L1-1/4 in type L

Hydronic Flow Rate Calculator FAQ

How do you calculate hydronic flow rate?

Divide the heat load by the specific heat of water and the temperature difference. In metric, about 0.86 L/h per watt per kelvin: 10 kW at 10 K needs 870 L/h.

What is the 500 rule for gpm?

gpm = BTU/h ÷ (500 × ΔT). 500 is 8.33 lb/gal × 60 min × 1 BTU/lb °F for water.

What delta T should a heating system use?

About 20 °F (11 K) for boilers with radiators, 5 to 7 K for heat pumps, and 5 to 10 K for underfloor heating.

How fast should water flow in heating pipes?

About 0.3 to 0.7 m/s (1 to 2.3 ft/s) in homes for quiet operation, up to about 1.2 m/s in larger mains.

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