Following, you'd probably apply this boundary situation and fix for Fourier's 2nd Law to get The inner temperature distribution. Assuming no inside heat generation, the solution is ρ C p ( ∂ T ∂ t + v → ▽ T ) = k ▽ T displaystyle rho C_ p ( partial T around partial t + overrightarrow v bigtriangledown T)=kbigtriangledown T Utilizing