Rradiators at high temperatures

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RJWills
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Okay so I've been have a good think about radiators and how they work, in particular the fact that conventionally they work via convection with a bit of radiation at normal temperatures.

But say my radiator is made out of some fancy metal that can withstand extreme temperatures, if I to say whack the temperature from 300-373K (a rough 'normal' operating temp zone) to 1000K+, would my nice convection based radiator transfer its energy primarily by convection, or would it begin to transfer energy primarily by radiation with a bit of convection? If it does change, then why does it?
 
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There are infrared heat lamps that use a filament which can reach temperatures around 2000°K. These release a lot more radiation than the typical "radiator" heaters. In fact, they can release over 80% of the power input as radiation, releasing the rest in the form of conduction and convection.