(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

2. Relevant equations

Governing Equation : [itex] \frac{1}{r^2} \frac{d}{dr} (kr^2\frac{dT}{dr}) + q''' = 0[/itex]

Temperature: [itex] T(r) = -\frac{q'''}{6k}r^{2} - \frac{C_1}{r} + C_2[/itex]

3. The attempt at a solution

For part a) all I did was multiply the equation provided in the question by the formula for the volume of a sphere to get [itex]q[/itex].

The result is: [itex]q = \frac{4}{3} {\pi}{R_i} {q_0}''' [{R_i}^2 - {r}^2][/itex]

Is this correct, or should I be getting an answer only in terms of [itex]R_i[/itex]?

For part b) I know that I have to use the temperature equation I stated above. My result is:

[tex] T(R_i) = -\frac{q'''}{6k}{R_i}^{2} - \frac{C_1}{R_i} + C_2[/tex]

I'm unsure how to proceed. Do I apply boundary conditions?

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# Heat Transfer Problem

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