Overall Heat Transfer Calculator Formula

Understand the math behind the overall heat transfer calculator. Each variable explained with a worked example.

Formulas Used

Overall Heat Transfer Coefficient (U)

u_coeff = duty * 1000 / (area * lmtd)

U (Imperial)

u_btu = duty * 1000 / (area * lmtd) * 0.17611

Variables

VariableDescriptionDefault
dutyHeat Duty (Q)(kW)500
areaHeat Transfer Area (A)()20
lmtdLMTD(°C)50

How It Works

Overall Heat Transfer Coefficient

The overall heat transfer coefficient U combines all thermal resistances (convection on both sides, wall conduction, fouling) into a single parameter for heat exchanger design.

Formula

Q = U × A × LMTD, therefore U = Q / (A × LMTD)

Typical U values: water-water: 800-1500 W/(m²·K), gas-gas: 10-40, condensing steam-water: 1000-4000. Low U indicates fouling or poor heat transfer conditions.

Worked Example

A heat exchanger transfers 500 kW with 20 m² area and 50°C LMTD.

duty = 500area = 20lmtd = 50
  1. 01U = 500 × 1000 / (20 × 50)
  2. 02U = 500000 / 1000 = 500 W/(m²·K)
  3. 03In imperial: 500 × 0.176 = 88.1 BTU/(h·ft²·°F)

Ready to run the numbers?

Open Overall Heat Transfer Calculator