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Conduction Vs. Convection cooling


Final_metroid
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For a school assignment, I need to demonstrate that cooling with conduction is more efficient than using convection to cool. A rough example would be saying that sticking a beer in a bucket of ice will get it cooled faster than sticking it in the fridge. However, i need to demonstrate this through the use of a formula or some law or previously done experiment or set standard. Any help is appreciated.

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Conduction is fairly simple to express as a formula, there isn’t a huge amount of variables involved when it occurs and in a school environment it is usually safe to ignore many of the outside effects on the system (essentially making it a closed system). The formula isn’t hard to find and understanding what it is expressing is fairly easy.

Convection is much more erratic, much harder to model since even in a closed system a lot of what is going on still isn’t uniform. When heating a gas or liquid you must consider convection and conduction, and when things move, math becomes messy (still very cool math though). Much easier to use examples like heating a pot of water to show how convection works,

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