Radiator Flow Rate Calculation

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Radiator Flow Rate Calculator

Watts (W) BTU/hr
11°C (Standard Boiler) 20°C (Heat Pump/Modern System) 5°C (Low Temperature System) Custom Value

What is Radiator Flow Rate?

The radiator flow rate is the volume of heated water that passes through a radiator per unit of time to deliver the required thermal energy to a room. Calculating the correct flow rate is essential for "balancing" a heating system. If the flow rate is too high, the water doesn't stay in the radiator long enough to release its heat; if it's too low, the radiator won't get hot enough to meet the room's heat loss demands.

The Science Behind the Calculation

The calculation is based on the specific heat capacity of water. To move a certain amount of heat energy using water as the medium, we use the following physics formula:

Flow Rate (kg/s) = P / (c × ΔT)

Where:

  • P: Heat output required (Watts)
  • c: Specific heat capacity of water (approx. 4184 Joules/kg°C)
  • ΔT: The temperature difference between the water entering the radiator (Flow) and leaving it (Return).

Typical Temperature Drops (ΔT)

In the UK and Europe, a standard gas boiler system is usually designed for a ΔT of 11°C. However, modern condensing boilers are often more efficient at a ΔT of 20°C. Heat pumps typically operate with smaller temperature drops, often around 5°C to 8°C, requiring higher flow rates and larger pipework to move the same amount of heat.

Practical Example

If you have a radiator with an output of 2000 Watts on a standard system with an 11°C temperature drop:

1. Convert Watts to Joules per hour: 2000W × 3600s = 7,200,000 J/h.
2. Calculate heat required per degree: 4184 J/kg°C × 11°C = 46,024 J/kg.
3. Divide: 7,200,000 / 46,024 ≈ 156.44 kg/h (approx 156.44 Liters per hour).

document.getElementById('tempDrop').onchange = function() { var customRow = document.getElementById('customTempRow'); if (this.value === 'custom') { customRow.style.display = 'block'; } else { customRow.style.display = 'none'; } }; function calculateFlowRate() { var heatOutput = parseFloat(document.getElementById('heatOutput').value); var outputUnit = document.getElementById('outputUnit').value; var tempDropVal = document.getElementById('tempDrop').value; var deltaT; if (tempDropVal === 'custom') { deltaT = parseFloat(document.getElementById('customTemp').value); } else { deltaT = parseFloat(tempDropVal); } if (isNaN(heatOutput) || heatOutput <= 0) { alert('Please enter a valid Heat Output value.'); return; } if (isNaN(deltaT) || deltaT <= 0) { alert('Please enter a valid Temperature Drop value.'); return; } // Convert BTU to Watts if necessary (1 BTU/hr = 0.293071 Watts) var watts = heatOutput; if (outputUnit === 'btu') { watts = heatOutput * 0.293071; } // Calculation: // Flow Rate (kg/s) = Watts / (Specific Heat Capacity * Delta T) // Specific Heat of Water ~ 4184 J/kg°C // Flow Rate (kg/h) = (Watts * 3600) / (4184 * Delta T) var flowRateKgH = (watts * 3600) / (4184 * deltaT); var flowRateLMin = flowRateKgH / 60; var resultDiv = document.getElementById('flowResult'); var resultText = document.getElementById('resultText'); resultText.innerHTML = 'Required Flow Rate:' + '
' + flowRateKgH.toFixed(2) + ' Liters/Hour
' + '
(' + flowRateLMin.toFixed(3) + ' Liters/Minute)
' + '*Calculation based on water density of 1kg per Liter.'; resultDiv.style.display = 'block'; resultDiv.scrollIntoView({ behavior: 'smooth', block: 'nearest' }); }

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