HappMatt
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I have a solution to a problem but don't understand why to use LMTD vs the usual type of mean.
I was working on a problem of trying to find the thermal resistance through a coaxial cable(hollow cylinder) and sort of knew the trick was that the area was not constant thus something had to be done to account for that. I was thinking of just integrating the area from the inner diameter to the outer but that was wrong. with a little searching I found that what I needed to use was the LOG MEAN of the area and substitute that for the area.
Here is my question: What is the point of using the log mean vs. the typical mean or just a integral of the area, and why would I have just come up with that method(Log Mean) as compared to the previous methods when given such a problem?
I was working on a problem of trying to find the thermal resistance through a coaxial cable(hollow cylinder) and sort of knew the trick was that the area was not constant thus something had to be done to account for that. I was thinking of just integrating the area from the inner diameter to the outer but that was wrong. with a little searching I found that what I needed to use was the LOG MEAN of the area and substitute that for the area.
Here is my question: What is the point of using the log mean vs. the typical mean or just a integral of the area, and why would I have just come up with that method(Log Mean) as compared to the previous methods when given such a problem?