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How would I incorporate both heat generated within and element and heat flux from external to the element in GHCE. For example,

Let there be a thick wall of thickness 'L', with internal heat generation of Q_g. There is also heat flux flowing from the left plant towards right of value Q_f. How will I calculate the temperature distribution for this?

I know from GHCE in One-Dimension,

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Thus, for simple heat generation I can just add values to Q_g and get the distribution but what do I do when there is also a heat flux? I can't simply put end temperatures because I just do not know (as they will depend on both heat generation (Q_g) and heat flux (Q_f) , I think)

HungryChicken412
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  • I think if you know heat flux at a coordinate, you know also $\frac{\text{d}T}{\text{d}x}$ at that coordinate. – Tomáš Létal Jun 12 '24 at 20:25
  • The heat flux at one end is a boundary condition. It makes the problem a transient one. A constant heat flux makes the temperatures go to infinity without any cooling (heat output) considered as an additional boundary condition. – tckosvic Jun 13 '24 at 15:05

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