(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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Heat Transfer Problem

**Physics Forums | Science Articles, Homework Help, Discussion**