Up coming, you would probably implement this boundary situation and remedy for Fourier's 2nd Regulation to acquire the internal temperature distribution. Assuming no inside 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)=kbigtriangle