Definition of fan verb from the Oxford Advanced Learner's Dictionary

fan

verb
fæn
 
; fæn
 
 
fanning, fanned1 fan somebody/something/yourself to make air blow onto somebody/something by waving a fan, your hand, etcHe fanned himself with a newspaper to cool down.A warm breeze fanned her cheeks.2 fan something to make a fire burn more strongly by blowing on itFanned by a westerly wind, the fire spread rapidly through the city.3 fan something (literary) to make a feeling, an attitude, etc. stronger
Synonym
fuel
His reluctance to answer her questions simply fanned her curiosity.
Idioms

fan the flames (of something)

to make a feeling such as anger, hatred, etc. worse
His writings fanned the flames of racism.
Phrasal verbs

fan out

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fan something out

to spread out or spread something out over an areaThe police fanned out to surround the house.The bird fanned out its tail feathers.