How Is the Steady State Assumed in Solving the Thermal Diffusion Equation?

AI Thread Summary
The discussion revolves around understanding the steady state assumption in the thermal diffusion equation, specifically DT/Dt = D del squared T. It is clarified that in steady state problems, DT/Dt equals zero, leading to the conclusion that temperature does not change with time. The user seeks guidance on solving part (b) of their homework, questioning whether it also represents a steady state scenario. They inquire about the equation they need to solve, which involves parameters like alpha, k, T(a), Tair, and I. The focus remains on clarifying the conditions under which steady state is assumed in thermal diffusion problems.
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thermal diffusion equation - URGENT

Homework Statement



Please see attached q

Homework Equations





The Attempt at a Solution



Ok so thermal diffusion equation is DT/Dt = D del squared T

apparently this is a steady state problem, so DT/dt = 0, how am i meant to know? any hints on solving please?
 

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I've done part (a) how do you do (b) though
 


is (b) a steady state too? how do we know..?
 


Ok i guess it is...

is the equation i have to solve:

del squared T = alpha/k (T(a) - Tair) - I^2 ro/pi^2 a^4?
 

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