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Old Oct 6th 2016, 01:13 AM   #1
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Heat Transfer

Hello,

i have the following problem.

Option 1 : i can generate 7 kW inside 1 m x 0.5 m x 1 m cubical. that cubical placed in 1.5 m x 2 m x 2 m compartment.

Option 2 : i can generate 7 kW inside 0.5 m x 0.5 m x 0.5 m cubical inside the same compartment

can i expect same temperature at the walls of the compartment in both options?
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Old Oct 6th 2016, 07:00 AM   #2
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In both cases the external container must transfer 7 KW of heat through its wall to the outside environment. Hence the temp difference between inside and outside walls of the container must be the same in both cases. The question then is whether the inside temp of the container is the same in both, and that depends on the nature of whatever fills the space between the internal cube and the container wall. If it's insulated for example with foam then the temp of the container wall will be lower if the insulation is thicker, so the smaller cube leads to lower temperatures of the container wall. If it's not insulated - such as if there's only air that can circulate freely and thus distribute heat uniformly throughout the interior space - then they would be the same.
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