Up coming, you should implement this boundary ailment and solve for Fourier's 2nd Legislation to acquire The interior temperature distribution. Assuming no inner heat generation, the answer is ρ C p ( ∂ T ∂ t + v → ▽ T ) = k ▽ T displaystyle rho C_ p ( partial T over partial t + overrightarrow v bigtriangledown T)=kbigtriangledown T