- #1

E12-1

- 4

- 1

- TL;DR Summary
- Why is heat flux inversely proportional to the length of the conductor?

Hello,

I'm looking over some old school notes and re-learning some basic heat transfer. I have known Fourier's Law (1D: ##q = k\frac{dT}{dx}##) for a long time, but when I look at it now I find it strange that heat flux is inversely proportional to the length of the conductor. I would think that the amount of heat being transferred is the same if the temperatures at each end are the same (and the area, but flux normalized by area so no need to worry about that).

Why is it that a conductor of length L will conduct twice as much power as a conductor of length 2L, given t1 and t2 are the same? Why does the distance the heat energy travels affect the amount of energy which is transferred per unit time?

I feel like the answer is obvious I just need someone to help me unblock my brain.

I'm looking over some old school notes and re-learning some basic heat transfer. I have known Fourier's Law (1D: ##q = k\frac{dT}{dx}##) for a long time, but when I look at it now I find it strange that heat flux is inversely proportional to the length of the conductor. I would think that the amount of heat being transferred is the same if the temperatures at each end are the same (and the area, but flux normalized by area so no need to worry about that).

Why is it that a conductor of length L will conduct twice as much power as a conductor of length 2L, given t1 and t2 are the same? Why does the distance the heat energy travels affect the amount of energy which is transferred per unit time?

I feel like the answer is obvious I just need someone to help me unblock my brain.