Lesson 9 of 11

Emissions

Where NOₓ, CO, unburned hydrocarbons and soot come from, why they fight each other, the narrow temperature window where both NOₓ and CO are low, and how lean premixed, RQL and staged combustors each find a path through it.

7 min2 live simulations
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The question

If NOₓ comes from burning too hot, why not just burn cooler?

Because burning cooler makes a different pollutant, and the gap between the two is only a couple of hundred kelvin wide.

This is where every earlier lesson comes back to present its bill. The aerodynamics set the mixing, the injector sets the initial fuel distribution, the cooling design allocates the air, and the stability loop limits how lean we dare go. All of it lands, measurably, in the exhaust, where it is compared with the ICAO CAEP limits for NOₓ, CO, unburned hydrocarbons and smoke.

NOₓ: a temperature problem

Nitrogen is the most inert thing in air, until it is hot enough. Almost all NOₓ from a gas turbine is thermal NO, made by the Zeldovich mechanismThe chain O + N₂ → NO + N, N + O₂ → NO + O that makes thermal NO; its rate ∝ exp(−69 090/T).:

O+N2  ⇌  NO+N\mathrm{O} + \mathrm{N_2} \;\rightleftharpoons\; \mathrm{NO} + \mathrm{N} N+O2  ⇌  NO+O\mathrm{N} + \mathrm{O_2} \;\rightleftharpoons\; \mathrm{NO} + \mathrm{O} N+OH  ⇌  NO+H\mathrm{N} + \mathrm{OH} \;\rightleftharpoons\; \mathrm{NO} + \mathrm{H}

The first step, breaking the N≡N triple bond, is fiercely hard, with an activation temperature of about 38,000 K. Combined with the temperature-sensitive equilibrium supply of O atoms, the overall formation rate goes as

d[NO]dt  ∝  [O2]1/2 [N2]  1Texp⁡ ⁣(−69 090T)\frac{d[\cnox{\mathrm{NO}}]}{dt} \;\propto\; [\mathrm{O_2}]^{1/2}\,[\mathrm{N_2}]\;\frac{1}{\sqrt{\cflame{T}}}\exp\!\left(-\frac{69\,090}{\cflame{T}}\right)

That exponential is Lesson 2's Arrhenius tail in its most extreme form.

Estimate first
How many times faster does thermal NO form at 2100 K than at 1800 K?
1101001,00010,000100,0001,000,000
Drag along the line to place your guess — each tick is ten times the last.

So thermal NOₓ needs three things: high temperature, time at high temperature, and available oxygen. Take any one away and it collapses.

Two minor routes complete the picture. Prompt NO (Fenimore) forms quickly in fuel-rich flame fronts, where hydrocarbon radicals attack N₂. Fuel NO comes from nitrogen bound in the fuel itself, which is negligible for kerosene but relevant for some alternative fuels, such as ammonia.

Higher engine pressure ratios make matters worse. Hotter compressor air lifts the whole flame-temperature curve (Lesson 2), and for conventional combustors the emission index grows roughly as EINOx∝P3 0.5 eT3/const\text{EI}_{\mathrm{NO_x}} \propto P_3^{\,0.5}\, e^{T_3/\text{const}}. The thermodynamic push for efficiency and the environmental push for low NOₓ are in direct conflict.

CO and unburned hydrocarbons: chemistry that didn't finish

CO and UHC are the opposite failure: incomplete combustion. The chemistry started but was frozen before it completed, because the gas was

  • too cool: near the cooling films (Lesson 8), or in a lean, low-power primary zone;
  • too quick: quenched by dilution air before CO could burn to CO₂;
  • too rich: short of oxygen;
  • too wet: large droplets at idle still evaporating as they leave (Lesson 6).

CO oxidation is itself strongly temperature-dependent, but in the other direction: it speeds up with temperature. Put the two pollutants on the same axes:

ExploreThe narrow window
14001600180020002200240010⁻¹110100100010000flame temperature (K)emissions (ppm)target 25 ppmNOₓCOWINDOW
1750 K
5.0 ms
Longer: NOₓ ↑ (linearly), CO ↓ (exponentially)
25 ppm
NOₓ2.0 ppm
CO9.6 ppm
Window1712–1870 K158 K wide
Inside the window: hot enough to burn out CO within the residence time, cool enough that the Zeldovich chemistry barely starts.
Challenges0/2
  • Slam the window shut: find a residence time where no temperature meets the target.
  • Meet a strict 10 ppm target for both NOₓ and CO.
NOₓ is made when gas is too hot for too long; CO survives when gas is too cool for too short. Plotted on a log scale against flame temperature, the two curves form a valley — and a low-emissions combustor must keep all of its gas inside that valley.

This is the most important plot in emissions. NOₓ climbs steeply to the right, CO climbs steeply to the left, and between them lies a window, typically around 1650–1850 K, where both are low. Lengthen the residence time and the window shifts: CO has more time to burn out, but NOₓ has more time to form.

Soot: formed rich, destroyed hot

Soot is born in fuel-rich, hot regions, where fuel molecules crack (pyrolysis), assemble into polycyclic aromatic hydrocarbons, nucleate into tiny particles, and grow by surface reactions and collisions. At the same time, soot is oxidised by OH and O₂ wherever it meets hot, oxygen-rich gas. The smoke leaving the engine is the small difference between two large numbers, formation minus burnout, which is why the intermediate zone, where rich products meet fresh air while still hot, is so critical. Aromatic content in the fuel is a strong soot precursor (Lesson 10).

Three routes through the danger zone

If the enemy is time spent near φ ≈ 1, then every low-NOₓ strategy is a plan for the path the gas takes through equivalence-ratio space as it moves through the combustor. That is the picture to keep:

JourneyThree routes through the danger zone
dome25%50%75%exit0.511.52distance through the combustorlocal equivalence ratio φstoichiometric — NOₓ factoryRICH: little O₂ → little NOₓ (but soot)QUICK QUENCHLEAN burnout
10% of length
How quickly the jets drive rich gas lean
0.55
Leaner = less NOₓ, closer to blowout
10% of fuel
Stability insurance — and the main NOₓ source
Conventional100%
RQL6%
Lean premixed11%
Accumulated NOₓ relative to the conventional combustor (same exit temperature). A simplified model with mixing unmixedness — it gets the ordering and the key levers right, not certification numbers.
Local mixture1.80
Local NOₓ rate10⁰relative, log scale
RQL leaps across the stoichiometric band. The whole design problem collapses into one question: how fast can the quench jets mix?
Challenges1/3
  • Make RQL cut NOₓ by more than 90% versus conventional.
  • Spoil RQL: slow the quench until it loses most of its advantage (over 20%).
  • Get lean premixed below 5% of conventional. What did you have to sacrifice?
The background glows purple where NOₓ forms fastest — a bright band around φ ≈ 1. Each strategy is a path the gas takes from the dome (left) to the turbine (right). Total NOₓ is how long a path lingers in the bright band.

Lean premixed (LPM / LDI)

Lean premixedPremixing fuel and air lean before burning so no gas ever sees stoichiometric temperatures. combustion is the most direct attack.

The direct solution: mix fuel and air thoroughly before burning, at φ ≈ 0.5–0.6, so that no parcel ever sees stoichiometric conditions. NOₓ reductions of 60–90% relative to conventional combustors are possible, and there is almost no soot.

The price was foreshadowed in earlier lessons: flashback and autoignition in the premixer at high pressure and temperature; combustion instability (Lesson 7); and poor stability at low power, close to lean blowout (Lesson 5). Industrial "dry low-NOₓ" gas turbines, which spend most of their lives at one steady operating point, are built this way. In aero engines, lean-burn systems such as GE's TAPS (Twin Annular Premixing Swirler) in the GEnx and CFM LEAP pair a lean main stage with a pilot.

Rich-burn, Quick-quench, Lean-burn (RQL)

RQLRich-burn, Quick-quench, Lean-burn: a low-NOₓ strategy that jumps across the stoichiometric band as fast as possible. is the cleverer path.

A cleverer path: jump over the stoichiometric band.

  1. Rich primary zone (ϕ≈1.5\phi \approx 1.5–22): very stable, and oxygen-starved, so little NOₓ forms. Soot does form, but it will be burned later.
  2. Quick quench: a row of strong jets drives the mixture from rich to lean in the shortest possible distance, spending as little time as possible near φ = 1.
  3. Lean burnout (ϕ≈0.5\phi \approx 0.5): CO and soot are oxidised below the NOₓ threshold.

The whole design reduces to one question: how fast can the quench jets mix? Drag the quench length in the widget to see the benefit evaporate as the quench slows. Pratt & Whitney's TALON combustors are the best-known RQL family.

Staged combustion

Aircraft engines must run from idle to take-off, and no single fixed zone is ideal across that range. Staged combustors carry two personalities:

  • At low power, only a pilot zone burns, richer and very stable, to guarantee ignition, stability and CO burnout.
  • At high power, the lean main stage takes most of the fuel, delivering low NOₓ where the engine spends its highest-temperature time.

Staging can be radial (separate domes, as in some double-annular designs) or internal (pilot and main within each injector, as in TAPS). The fuel-split schedule between the stages is itself a major design and control problem.

Check your intuition
In an RQL combustor, what happens if the quench jets mix too slowly?
Check your intuition
Why is pure lean premixed combustion used widely in industrial power turbines but only with piloted staging in aircraft engines?
Recap
What to carry forward
  • Thermal NOₓ (Zeldovich) needs high temperature, time and oxygen; its rate ∝e−69 090/T\propto e^{-69\,090/T} makes it almost purely a temperature problem.
  • CO and UHC are chemistry that didn't finish: too cool, too quick, too rich or too wet.
  • NOₓ and CO bracket a narrow temperature window (~1650–1850 K); the goal is to keep every parcel inside it.
  • Soot is formation minus burnout: made rich and hot, destroyed hot and oxygen-rich.
  • Low-NOₓ strategies are paths through φ-space: lean premixed stays lean, RQL leaps across φ = 1, staged combustors switch personality with power.

Every lesson so far quietly assumed Jet-A. The final lesson asks what happens when the fuel itself changes.

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