2. A flat object that is held in a person's hand and waved back and forth in front of his or her face: It's a good thing that they each had a fan to use on their trip so they could cool themselves a little bit during those hot summer days.
2. In a figurative sense, to make an emotional situation more dangerous, so people become angrier and more likely to act in a violent way: The speakers at the political meeting were trying to fan the group to march against the policies of the government.
This term for fan is a shortened form of fanatic or someone who is overly enthusiastic about something or anyone who has extreme ideas about politics, religion, etc.
Silas is a fan of indoor sports and he often goes to the local stadium. Sometimes it is hot in there because the electric fan doesn't work and because the hot music seems to fan the enthusiasm of the crowd and he must use his program as a fan to fan his face.