5.3.5 · D5Combustion Chemistry (Propulsion Bridge)

Question bank — Premixed vs diffusion flames

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Figure — Premixed vs diffusion flames

True or false — justify

Cover the answer; state true/false and the reason.

A diffusion flame has a well-defined flame speed .
False — it does not travel into anything; there is no wave. Its pace is set by how fast mixing delivers reactants, not by a propagation speed.
A premixed flame appears stationary on a burner because it is not moving.
False — the gas flows out at while the flame tries to travel in at ; the two cancel, so it only looks still (see Flashback and blow-off limits).
Yellow candle flames are hotter than blue stove flames.
False — yellow is soot glowing (incandescence), not high temperature; the blue premixed flame is actually hotter and cleaner.
Diffusion flames are slow because their chemistry is slow.
False — the chemistry is usually faster than in premixed flames; they are slow because they wait on mixing (transport-limited).
A premixed flame is reaction-limited, a diffusion flame is mixing-limited.
True — with mixing already done, the premixed flame speed is set by kinetics + heat conduction; the diffusion flame's chemistry is fast, so transport is the bottleneck.
The inner blue cone and outer yellow mantle of a Bunsen burner are the same type of flame.
False — the inner cone is premixed (entrained air), the outer mantle is a diffusion flame burning leftover fuel in room air. One device, both regimes.
Flame speed scales like the geometric mean of a transport property and a chemical rate.
True — (derived in the box above), so it rises with both thermal diffusivity and reaction rate.
Flashback can happen in a diffusion flame.
False — a diffusion flame cannot burn back into unmixed fuel, since there is no premixed gas to propagate through; that is precisely why designers pick it for safety.
Doubling the reaction rate roughly the flame speed.
True — since and rate , grows as the square root of the rate, not linearly.
A stoichiometric mixture fraction near means the flame sits deep on the fuel side.
False — small means the flame sits deep on the air side; only ~5.5 % of local mass is fuel-derived, which is why the fuel-rich interior soots (see Soot formation and the rich premixed zone).

Spot the error

Each line contains one wrong claim; name it and fix it.

"Since chemistry is fast in a diffusion flame, it can never extinguish."
Wrong — push mixing too hard (scalar dissipation too high) and reactants get diluted faster than heat is released, so it blows out despite fast chemistry.
"A thicker flame preheat zone means a faster flame."
Wrong — thickness and speed trade inversely, (see the formula box: a wave crossing a thin zone in a fixed diffusion time is faster), so a thinner zone accompanies a faster flame.
"To stop blow-off, increase the gas exit velocity."
Wrong — blow-off is caused by gas speed exceeding ; you lower the velocity (or raise ) to keep the flame anchored (see Flashback and blow-off limits).
"The adiabatic flame temperature is the same for premixed and diffusion because the fuel is the same."
Wrong — it depends on the local equivalence ratio at the reaction zone; diffusion flames burn near stoichiometric locally and can reach comparable peak , but bulk fuel-rich or lean loading shifts it (see Adiabatic flame temperature).
"A high Damköhler number means chemistry is the slow step."
Wrong — Damköhler ; a high value means chemistry is fast relative to mixing, so mixing is the slow step (see Damköhler number).
"In a Diesel engine the fuel and air are premixed before ignition, just like gasoline."
Wrong — Diesel sprays fuel into already-hot compressed air and burns mostly as a diffusion flame as it mixes, while SI (gasoline) is premixed (see Diesel vs SI engine combustion).
"Because , a flame is thin enough to ignore heat conduction."
Wrong — it is thin because conduction and reaction balance there; conduction is exactly what preheats the next layer and lets it advance.

Why questions

Answer with the mechanism, not a label.

Why does a premixed flame have a speed but a diffusion flame does not?
Because the premixed flame is a self-propagating wave eating into fresh mixture, while a diffusion flame just sits where reactants meet — nothing is being "propagated into."
Why is the laminar flame speed set by conduction and not by radiation or convection?
Conduction is the messenger that carries heat from the hot reacted gas back into the cold fresh layer to bring it to ignition; that preheating is what lets the wave advance.
Why must the diffusion (thermal) time and the chemical time match in a steady premixed flame?
If heat arrived faster than fuel burned the zone would thin and quench; if slower, heat would outrun reaction — steadiness requires both on the same timescale.
Why is a diffusion flame typically sooty while a premixed blue flame is clean?
Its interior is fuel-rich (the reaction shell sits far on the air side), so fuel pyrolyzes without enough local oxygen, forming soot that then glows yellow.
Why does pushing the mixing rate too hard extinguish a diffusion flame but speeding the flow of a premixed flame merely blows it off (or flashes it back)?
Diffusion flames die from dilution — reactants thinned faster than heat releases; premixed flames instead lose or win the race between gas velocity and at the anchor point.
Why does the stoichiometric surface define a single location in a diffusion flame?
Because chemistry is fast, the reaction collapses onto the surface where the fuel/oxidizer ratio is exactly stoichiometric — the isosurface (see Mixture fraction Z and conserved scalars).
Why do rocket and gas-turbine designers care about the premixed-vs-diffusion trade-off?
Premixed gives fast, controllable heat release but risks flashback and knock; diffusion is flashback-safe but mixing-limited and sooty — the design lives on that balance.

Edge cases

The scenarios the simple story doesn't obviously cover.

What happens to as the reaction rate approaches zero (very cold or heavily diluted mixture)?
, so — the flame cannot propagate and the mixture is below its flammability limit.
What happens if the incoming gas velocity exactly equals everywhere?
The outflow and the flame's inward travel cancel perfectly, giving a stationary, marginally stabilized flame — the ideal anchored condition between flashback and blow-off.
Is a perfectly premixed mixture with no oxidizer a premixed flame?
No — with fuel alone there is nothing to react; "premixed" requires fuel and oxidizer blended together, otherwise there is no self-sustaining wave.
Can a single physical flame be both premixed and diffusion at once?
Yes — a Bunsen with the air hole partly open, or a lifted turbulent flame, shows a premixed inner region and a diffusion outer region simultaneously.
What is the limiting behaviour of a diffusion flame as the scalar dissipation rate (mixing extremely slow)?
With almost no mixing, reactants barely reach the surface, so heat release is feeble and the flame is weak and stretched — this is starvation (too few reactants delivered), the opposite failure from the high- case, where the flame dies by dilution (reactants over-stirred and cooled below reaction temperature).
What does tell you in the degenerate case of a pure-oxygen oxidizer stream instead of air?
With more oxygen available per unit mass, rises, moving the flame surface toward the fuel side and raising local temperature — hotter, thinner, and closer to the fuel exit.

Recall One-line self-check

If you can explain why each "false" above is false without naming the rule, you own the topic. The single organizing question — did they mix before the flame or at the flame? — resolves nearly every trap here.