If you would like to describe the sound effect when someone puts out the fire or smoke by blowing,
you can say "후"
For example,
촛불을 후 불어서 껐다
Put out the candle light by blowing and puffing.
If you say "I stubbed out my cigarette" in Korean,
담배를 비벼 껐다.
put out the cigarette.
담배를 끄다
I think you know the expression, but in case, "No Smoking" is in Korean,
"금연" or "담배금지"