Anything that is hotter than the surrounding air is radiating heat from itself to the air making the air warmer. If the air isn’t moving then the only air moving away from the object is the air escaping upwards due to warm air being less dense than cold air. As a result you lose efficiency because the warmer air has reduced effectiveness in removing heat because it’s closer in temperature to the object. By introducing a current to the air by use of a fan you are ensuring that the heated air is moved away from the object as fast as possible meaning more cooler air can come into contact with it and that cooler air maintains a higher temperature differential between the object and the air which you need to radiate the heat into.
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