Haha this is SUCH a frequent question here.
Tldr your body is warmer than air. Thin body temp air layer surrounds you. Fan blows that away so you get new cooler air to surround you. Btw fans dont work when air is hotter than your body’s temperature, then opposite happens and fan will heat you up
Edit: your sweat also plays a role so fans might work even when air is warmer than your body but if theres a certain amount of heat and moisture in the air the fan will do the opposite of cooling you.
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