🔥 LMTD Calculator
Log Mean Temperature Difference for heat exchangers
Results
LMTD
—
°C (or °F)
ΔT₁
—
°
ΔT₂
—
°
Heat Duty Q
—
W
Formula Reference
LMTD = (ΔT₁ − ΔT₂) / ln(ΔT₁ / ΔT₂)
Counter-flow: ΔT₁ = Th,in − Tc,out | ΔT₂ = Th,out − Tc,in
Parallel-flow: ΔT₁ = Th,in − Tc,in | ΔT₂ = Th,out − Tc,out
Q = U × A × LMTD
📝 Worked Example
Counter-flow heat exchanger: hot water 150→80°C, cold water 20→60°C.
| Input | Value |
|---|---|
| Th,in | 150 °C |
| Th,out | 80 °C |
| Tc,in | 20 °C |
| Tc,out | 60 °C |
ΔT₁ = 150 − 60 = 90 °C | ΔT₂ = 80 − 20 = 60 °C
LMTD = (90 − 60) / ln(90/60) = 30 / 0.405 = 74.1 °C
Result: LMTD = 74.1 °C