If you have ever seen an oxy-acetylene torch being used, you will have noticed that before the oxygen is turned on, the torch has a bright yellow flame. This is the fuel burning in a less than ideal amount of oxygen. The flame is relatively cool and it produces a lot of soot.
When the oxygen is turned on, tthe flame turns blue and becomes hot enough to melt steel.
You may have also seen when too much oxygen is turned on, the flame goes out with a pop.
Fuel lean is the same as oxygen rich.
In an engine, the fuel wants to burn efficiently, but not too hot that it starts to melt the pistons, or maybe even violently explode, which will also cause damage.
From Wikipedia - A stoichiometric mixture unfortunately burns very hot and can damage engine components if the engine is placed under high load at this fuel–air mixture. Due to the high temperatures at this mixture, detonation of the fuel–air mix shortly after maximum cylinder pressure is possible under high load (referred to as knocking or pinging). Detonation can cause serious engine damage as the uncontrolled burning of the fuel air mix can create very high pressures in the cylinder. As a consequence, stoichiometric mixtures are only used under light load conditions. For acceleration and high load conditions, a richer mixture (lower air–fuel ratio) is used to produce cooler combustion products and thereby prevent detonation and overheating of the cylinder head.
https://en.m.wikipedia.org/wiki/Air–fuel_ratio
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