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

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Homework Help Overview

The discussion revolves around the thermal diffusion equation, specifically addressing the conditions under which a steady state is assumed in solving the equation. Participants are exploring the implications of this assumption in the context of the problem presented.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are questioning how to determine if the problem is in a steady state, with some expressing uncertainty about the implications of setting DT/Dt to zero. Others are discussing the specifics of the equation to be solved and whether part (b) of the problem also assumes a steady state.

Discussion Status

The discussion is ongoing, with participants actively questioning the assumptions related to steady state conditions. Some guidance has been offered regarding the formulation of the equation to solve, but there is no explicit consensus on the assumptions being made.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information available for determining the steady state conditions. The original poster has indicated urgency in seeking assistance.

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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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