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Temperature Measurement · Free Calculator

Heat Exchanger Effectiveness NTU Calculator

Rate an existing heat exchanger with the effectiveness NTU method: from U, area, flows and inlet temperatures find the duty and both outlet temperatures, without iteration.

ε NTU methodCounterflowParallel flowOutlet temperatures
W/m²·K
m²
kg/s
kJ/kg·K
°C
kg/s
kJ/kg·K
°C
Duty310.3 kW
Hot outlet temperature52.97 °C
Cold outlet temperature44.75 °C
Effectiveness ε0.5290
NTU0.9547
Capacity ratio Cr0.6683
How this result was calculated
  1. Chot = 8.38 kW/K, Ccold = 12.54 kW/K
  2. NTU = UA ÷ Cmin = 0.9547
  3. ε (counterflow) = 0.5290
  4. Q = ε × Cmin × (Th,in − Tc,in) = 310.3 kW
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Effectiveness NTU Equations

NTU = U × A ÷ Cmin, Cr = Cmin ÷ Cmax
Counterflow: ε = [1 − e−NTU(1−Cr)] ÷ [1 − Cr × e−NTU(1−Cr)]
Parallel flow: ε = [1 − e−NTU(1+Cr)] ÷ (1 + Cr)
Q = ε × Cmin × (Th,in − Tc,in)

C = mass flow × specific heat for each side, U the overall heat transfer coefficient and A the area. Use this method to rate a known exchanger; use the LMTD calculator to size one for known temperatures.

Worked example

A 10 m² counterflow exchanger with U = 800 W/m²·K, 2 kg/s of water at 90 °C and 3 kg/s at 20 °C: NTU ≈ 0.95, ε ≈ 0.53, duty ≈ 310 kW, hot outlet ≈ 53.0 °C and cold outlet ≈ 44.7 °C.

Key insight: when you control the outlet temperature, the effectiveness changes with flow. At low flow on the controlled side the exchanger becomes very effective and the loop gain changes, which is why heat exchanger temperature loops often need gain scheduling.
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Frequently Asked Questions

When should I use NTU instead of LMTD?

Use NTU when the outlet temperatures are unknown (rating an existing exchanger). Use LMTD when temperatures are known and you need the area.

What is effectiveness?

The actual heat transferred divided by the maximum possible, which would cool the smaller capacity stream to the cold inlet temperature.

Why is counterflow better?

It keeps a temperature difference along the whole length, so it reaches a higher effectiveness for the same NTU.

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