When our body is sweating, the air from the fan makes the sweat to evaporate thus our body loses heat and we fell cold.
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While sweating, when the air from fan reaches us, it increases the evaporation of sweats from out skin. As evaporation takes place, heat from our body is lost and hence we feel cool.

You know that evaporation is a cooling process. So when sweat evaporates, it produces cooling effect in our body.
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if our body is sweating it will make us tired and it feels too have a cool air the cool air absorbs the sweat and make us fresh