Heat Exchanger Effectiveness (ε = Q/Qmax)
Also known as epsilon NTU
Worked example: 420 kW recovered of a 600 kW ceiling → eps 0.70. Press Try an example to run it live, then adjust anything.
Enter your known values, leave one input blank, and solves for the missing one. Tap a variable’s symbol to see what it means, with a typical value. Change any unit and the answer follows.
Where Heat Exchanger Effectiveness (ε = Q/Qmax) fits
- QHeat Exchanger Duty (Q = U·A·F·LMTD) · Stream Duty from Mass Flow (Q = ṁcΔT)
- QmaxMaximum Possible Heat Transfer (Qmax)
- The effectiveness-NTU method5 formulas
See also
Effectiveness from NTU (Counterflow): Both use heat exchanger effectiveness.Maximum Possible Heat Transfer (Qmax): Both use maximum possible duty.Heat Exchanger Duty (Q = U·A·F·LMTD): Both use actual duty.Stream Duty from Mass Flow (Q = ṁcΔT): Both use actual duty.The Exchanger Final →
UniversityThermodynamics & Heat Transfer
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Heat Exchanger Effectiveness (ε = Q/Qmax) explained
Effectiveness is the one exchanger number a non-specialist can read without a chart: 0.82 means the unit captured 82% of everything thermodynamics allowed. Unlike efficiency in a boiler sense it has no fuel in it, and unlike U it needs no area basis to be meaningful. Typical values: a plate heat exchanger with a close approach runs 0.85–0.95, a shell-and-tube process cooler 0.6–0.8, an air-to-air plate recovery core in an HRV 0.6–0.75, a rotary wheel 0.75–0.85, and a fouled unit somewhere well below where it started.
Its real power is diagnostic. Because ε for a given geometry depends only on NTU and Cr, a drop in measured effectiveness at unchanged flows can only mean UA has fallen, which on a water side means scale or biofilm, and on an air side usually means a plugged coil face. Worked example: an economiser recovering 420 kW where the inlet-to-inlet ceiling is 600 kW runs at ε = 0.70; six months later the same flows return 480 kW against a 750 kW ceiling, ε = 0.64, and the cleaning is overdue. The trap is comparing effectiveness values measured at different flow rates: dropping the flow raises NTU and flatters ε, so an exchanger can look better simply because the pump is throttled.
Heat Exchanger Effectiveness (ε = Q/Qmax) formula
- = Effectiveness
- = Actual duty (kW)
- = Maximum possible duty (kW)
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formula.expert. (2026, October 31). Heat Exchanger Effectiveness (ε = Q/Qmax) Calculator. https://formula.expert/solvers/heat-exchanger-effectiveness