Temperature multiplied by Power?

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The discussion revolves around finding a scenario where temperature multiplied by power is relevant, as opposed to the more common relationship of temperature divided by power in thermal conductivity. Participants suggest that the Transistor Safe Operating Area might be a related concept, although its connection is not fully explored. There's mention of thermal conduction problems, where the product of variables could lead to a power times temperature relationship, but clarity is lacking. The original poster expresses frustration at not finding relevant examples despite their research. The conversation highlights a gap in readily available information on this specific mathematical relationship.
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Homework Statement



I'm trying to come up with a situation, perhaps in a mathematical calculation, or characteristic describing physical phenomena that is related to temperature times power. I know that thermal conductivity is measured in temperature divided by power, but unsure of a scenario were temperature times power comes up. I'm just looking for an example and can't seem to find anything. Thanks for any help.

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The Attempt at a Solution

 
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Interesting question. I'm not sure there is one, but Transistor Safe Operating Area comes to mind. You might be able to transform some of the associated plots to have a Power * Temperature axis...

https://en.wikipedia.org/wiki/Safe_operating_area
 
Google found this. See bottom of page 1. I'm afraid I haven't looked at it very carefully so might not be quite what you are looking for...

https://peer.asee.org/co-simulation-of-electric-and-magnetic-circuits.pdf

In thermal conduction problems, for example, the product of "effort" variable and "flow" variable is again not power, but power times temperature.
 
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"In thermal conduction problems, for example, the product
of "effort" variable and "flow" variable is again not power, but power times temperature."

But for thermal conduction I thought that the effort variable was hear flow rate and temperature. Where are they getting power times temperature confuses me
 
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YoshiMoshi said:
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You haven't found anything in the last 2 weeks in your own research or with our ideas? Where does this question come from anyway?
 
No I have found nothing. That document didn't really explain anything. I honestly haven't had much time. It's just for my own curiosity, and because I find it odd that there doesn't seem to be anything.
 
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