No.
-The quick leaning part is partially true.. but that applies more when you are
actually LOP. In the Cirrus you move the mixture back fast to limit the amount of time the engine spends in the hot zone, see below
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Not sure why engine mixture settings are such a dark art to people. And just goes to show how poor instruction is in this area (and as a corollary why we desperately need better training here or FADEC engines).. anyway, it's very simple:
Combustion needs fuel and air. If you add more of both you get more combustion, less you get less. There's an optimum mixture ratio for gasoline piston engines.. about 14.7 .. IE, 1 part gas to 14.7 parts air
rich: you have
too much gas and not enough air
lean: you have
too much air and not enough gas
optimum: you have 14.7 parts air for each part gas
too rich or too lean: the engine dies. Yes, a running engine CAN be flooded.
The engine will run hottest at the optimum (obviously, that's the optimum combustion point).. so people fly either rich, or lean, of that optimum point so they don't bake their engine. In carb'd engines it's hard to perfectly control the amount of fuel and air going into each cylinder so rule of thumb is to go rich. In some injected engines you can go lean. I prefer lean when possible as it's more efficient
The reason the engine gets "rough" when leaning is because some cylinders will start getting *too lean* and combustion starts to suffer. That's the roughness you feel. With good EGT probes you can find that sweet spot at the optimum, when it is hottest, and lean based on that. People usually go about 50-100 degrees rich to help with temps, and ensure that there are no cylinders still at the hottest zone
By default, all diesel engines and jet engines run lean. There is no throttle, you simply regulate the amount of fuel going in
Oh, running "rich" also has the added benefit of keeping an engine cool, not just because you're out of the optimum combustion zone, but also because the fuel itself has a cooling effect when introduced to the cylinder. That's why even in planes that are meant to fly lean, like the Cirrus, you climb rich (sometimes very rich) to help keep temps down