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Noctua pitches its PC fans as home heating boosters — active fans beat natural convection
(www.tomshardware.com)
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Depends in radiator design. Forced connection will generally transfer more heat than natural convection in an open system like this. This depends on whether the fan is actually pushing more air than would move under natural convection, and how much. There's other considerations such as radiator material, surface finish and color, etc. which may throttle the effect.