Battery Operated Desk Fan

I would like on a desktop fan that turns into circulation by the battery. Are there such devices? I do not mean those electric wire, I know about them. It is a gift for someone hard to please.

Technically yes, but you are talking big heavy 12 volt gel batteries or 12 volt lead acid batteries (car batteries)

It does not take much to run and run a fan, but it takes a lot of energy (GPA) to create and maintain heat.

flat heat works on electrical outlet.

Yes. I think they're called flat heat. "Google them. If you have a Cosco (store) near you, they should be sold. They work great!