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Suppose you have a thin and long rectangular piece of aluminum.

You heat one end (pt A). The thermal resistance (steady state) from one end (pt A) to the other (pt B) would be

θ=ΔT/W

Where W= Watts of heat energy.

ΔT = temperature of ptA - temperature of ptB

Now suppose you expose ptB to significant convection, cooling it down and letting the system reach steady state.

Would the thermal resistance be different? Or is it constant?

I'm just confused conceptually.

I can easily argue both ways. I'm on the fence.