Estimate the heat a boiler economizer can recover from flue gas, the fuel and money it saves in a year, and the efficiency gain from a cooler stack.

Heat an economizer can recover from a natural gas boiler’s flue gas, and the fuel and money it saves.

Steam produced times its enthalpy rise. For example, 45,000 lb/h of 150 psig steam from 117°F feedwater is about 50 MMBtu/h.

Measured with the boiler tuned. The DOE table covers 400 to 600°F.

Leave blank for 80%, the efficiency in the DOE example.

Hours and fuel price (optional)
Leave blank for 8,400 hours, as in the DOE example.

Calculator Functions

The calculator estimates how much heat a feedwater economizer can take back from a boiler's flue gas, and what that is worth in fuel each year. Select a function to open it in the calculator.

FunctionUse it whenYou enter
Recoverable heat from the DOE tableYou have a natural gas boiler and know its output and stack temperatureBoiler output, stack temperature and efficiency
Savings from a lower stack temperatureYou know how far the stack temperature will dropFuel input, stack temperatures before and after, efficiency and fuel

The optional settings add operating hours, 8,400 a year unless you change them, and a fuel price for the yearly saving in dollars.

Flue Gas Heat Recovery Formulas

F = R × h ÷ η [1]
FFuel saved per year, MMBtu
RRecovered heat taken from the flue gas, MMBtu/h, from the DOE table below
hOperating hours per year
ηBoiler efficiency: the fraction of fuel energy the boiler turns into steam; dividing by it converts heat saved into fuel saved

Boiler flue gases often leave the stack more than 100°F to 150°F hotter than the steam the boiler makes. An economizer passes that gas over the incoming feedwater, so less fuel is needed to raise steam; it can often cut fuel use by 5% to 10% [1].

Recoverable heat table

Initial stack temperature25 MMBtu/h boiler50 MMBtu/h100 MMBtu/h200 MMBtu/h
400°F1.32.65.310.6
500°F2.34.69.218.4
600°F3.36.513.026.1
Recoverable heat in MMBtu/h by boiler thermal output, for natural gas with 15% excess air and a final stack temperature of 250°F [1]

Between the listed values the calculator interpolates in a straight line. Outside the 25 to 200 MMBtu/h range it scales the nearest column in proportion to output; across the table, recoverable heat is close to proportional to boiler output.

Rule of thumb for stack temperature

Δη = ΔT ÷ 40 [1]

Here Δη is the efficiency gain in percentage points and ΔT the drop in stack temperature in °F. Boiler efficiency generally rises by 1% for every 40°F the flue gas temperature falls [1]. For the same steam output, fuel use then falls by the gain divided by the new efficiency: going from 80% to 85% saves 5 ÷ 85 = 5.9% of the fuel.

Worked example

An 80% efficient natural gas boiler makes 45,000 lb/h of 150 psig steam from 117°F feedwater, a thermal output of 45,000 × (1,195.5 − 84.97) Btu/lb = 50 MMBtu/h. Its stack temperature is 500°F, so the table gives 4.6 MMBtu/h of recoverable heat. Over 8,400 hours a year at $8.00 per MMBtu of fuel, the saving is 4.6 × 8.00 × 8,400 ÷ 0.80 = $386,400 a year [1].

Limits of This Estimate

  • Flue gas should not be cooled below about 250°F for natural gas, 300°F for coal and low-sulfur fuel oils, or 350°F for high-sulfur fuel oils, to keep it from condensing and corroding the stack [1]. The table assumes cooling to 250°F, so it applies to natural gas.
  • Measure the stack temperature after the boiler has been tuned, with excess air close to optimum and all heat transfer surfaces clean [1].
  • Economizers suit boilers that lack enough heat transfer surface. Boilers over 100 boiler horsepower, running above 75 psig and loaded heavily all year, are the strongest candidates [1].
  • The 1% per 40°F figure is a general rule. The actual gain depends on the fuel, the excess air and the boiler.

Sources

  1. U.S. Department of Energy, Advanced Manufacturing Office, Steam Tip Sheet #3: Use Feedwater Economizers for Waste Heat Recovery (DOE/GO-102012-3412, January 2012): the 1% per 40°F rule, the recoverable heat table, the worked example, the lowest flue gas temperatures by fuel and which boilers suit an economizer