Measure useful heat versus fuel input for clarity. Account for flue and radiation losses easily. See efficiency instantly, then download clean report files here.
Furnace efficiency is the ratio of useful heat delivered to the fuel energy supplied.
η (%) = (Useful Heat Output ÷ Fuel Energy Input) × 100
Efficiency can also be estimated by subtracting measurable losses from 100 percent.
η (%) = 100 − (Σ Losses %)
Q (MJ) = (ṁ × cp × ΔT × t) ÷ 1000, using cp in kJ/kg·K and time in seconds.
| Case | Method | Fuel Input | Useful Output | Losses | Efficiency |
|---|---|---|---|---|---|
| A | Direct | 2500 kWh | 1950 kWh | 550 kWh | 78.000% |
| B | Indirect | 6000 MJ | Estimated | Dry 12.5%, Moist 5.2%, Rad 2.0%, Unburned 0.8%, Other 1.0% | 78.500% |
| C | Direct | Fuel flow 80 kg/h, HV 42 MJ/kg, time 5 h | Useful power 850 kW, time 4 h | Computed | Shown after calculation |
Furnace efficiency describes how much of the fuel’s chemical energy becomes useful heat at the load. A value of 80% means 80% supports heating, while 20% leaves as stack losses, surface losses, or incomplete conversion. Tracking this number over time helps confirm stable operation.
The direct method compares useful heat output to fuel input for the same period. It works best when you can measure delivered heat (for example, a metered thermal output or a calculated process duty). The indirect method estimates efficiency as 100% minus measured losses, supporting troubleshooting when output is hard to meter.
Fuel energy depends on both flow and heating value. Natural gas heating value can vary by supplier and season, and solid or liquid fuels vary with moisture and composition. Use a consistent basis (LHV or HHV) across audits, and keep time windows consistent so comparisons remain meaningful.
If a heated stream’s mass flow, specific heat, and temperature rise are known, the calculator can estimate useful heat. For water-like streams, cp is often near 4.186 kJ/kg·K, while many gases are near 1.0 kJ/kg·K. Verify units and confirm that ΔT is a temperature difference.
Dry flue gas loss rises with excess air and high stack temperature. Moisture and hydrogen losses increase with wet fuels and combustion water formation. Radiation and convection losses relate to insulation condition and furnace skin temperature. Unburned fuel loss suggests poor mixing, burner issues, or short residence time.
Compare results to your own historical baselines first, since load, firing rate, and ambient conditions influence performance. Many industrial furnaces operate in the 70–95% range depending on recovery systems and duty. A sudden drop often indicates air leakage, fouling, or control drift.
Reducing excess oxygen, lowering stack temperature with heat recovery, repairing refractory, sealing door leaks, and tuning burners can all improve efficiency. If indirect losses show a dominant contributor, prioritize that mechanism. Confirm improvements by repeating the same test method and time basis.
Exporting results to CSV or PDF supports maintenance records and energy management reviews. Record the test date, fuel basis (LHV/HHV), instrumentation sources, and any operating constraints. Repeatable inputs and consistent assumptions turn the calculator into a practical audit tool for continuous improvement.
Either works, but stay consistent. LHV excludes water vapor condensation heat, while HHV includes it. Choose the basis used by your plant or fuel supplier so comparisons across periods remain valid.
It may come from mismatched time windows, mixed unit bases, or overstated useful output. Ensure fuel and output data cover the same operating period and use consistent energy units. The calculator limits results to 0–100% for direct calculations.
Use the direct method when useful heat output is measurable or reliably calculated. Use the indirect method when you have flue and surface loss data but cannot measure delivered heat accurately.
Yes, using the indirect method. Enter losses as percentages; efficiency is 100% minus total losses. The tool can estimate useful heat from fuel input and the calculated efficiency for energy balance reporting.
Recheck units, measurement points, and whether any losses are double-counted. Keep the total between 0 and 100%. If you only know major losses, leave unknown categories blank and treat them as zero for a conservative estimate.
Use a value appropriate to the heated material and temperature range. Water is commonly near 4.186 kJ/kg·K, and many gases are near 1.0 kJ/kg·K. For accuracy, use process data or vendor tables for your stream.
Run checks after burner tuning, maintenance, fuel changes, or when energy consumption shifts. Many facilities audit quarterly or seasonally. Consistent testing conditions and repeatable inputs make trend comparisons more reliable.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.