The temperature in a room is not quite consistent. There can be several degrees difference just across a room even when there is no particular heating or cooling. Around a heat source like a heater or a computer the air can be quite noticeably warmer as the air takes some time to disperse through the room. Of interest here however is the air around your skin. Your body generates heat, quite a bit of it actually. So your skin heats up the air around you. This hot air around your body slowly disperse through the rest of the room but this takes time so the air around your body is quite a bit warmer then the rest of the room. A fan helps blow this air away from your body replacing it with cooler room temperature air.
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