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Cylinder Coil Calculator — Surface Area & Recovery

Calculate the required coil surface area for heat pump (45°C) vs gas boiler (70°C) flow temperatures. Determine recovery time at low ΔT.

Hot water cylinder capacity

Desired stored water temperature

Incoming mains water temperature

Desired full recovery time

How We Calculate This

This calculator uses the LMTD (Log Mean Temperature Difference) method to determine the required coil surface area for a hot water cylinder, accounting for different heat-source flow temperatures and the primary flow/return drop across the coil.

Formulas

  • Energy (kWh): (V × 4.186 × ΔT) ÷ 3600, where ΔT = target − cold inlet
  • kW required: kWh ÷ recovery time (hours)
  • Reference store temperature: Tstore = (cold inlet + target) ÷ 2
  • End differences: ΔT1 = flow − Tstore; ΔT2 = (flow − primary drop) − Tstore
  • LMTD: (ΔT1 − ΔT2) ÷ ln(ΔT1 ÷ ΔT2)
  • Coil area (m²): (kW × 1000) ÷ (U × LMTD × efficiency)
  • Coil length: Area ÷ (π × pipe OD)

Both temperature differences are taken against the same stored-water temperature because a well-mixed cylinder is at one temperature at any instant; the two ends differ only by the primary flow/return drop. The effective coil U-value is limited by natural convection on the stored-water side, so always check the result against the cylinder manufacturer’s published coil kW rating.

Frequently Asked Questions

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Last updated: March 2026

Verified against UK standards · estimates only, confirm with your supplier.