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Up coming, you would utilize this boundary issue and solve for Fourier's 2nd Legislation to acquire The inner temperature distribution. Assuming no inner warmth generation, the solution is ρ C p ( ∂ T ∂ t + v → ▽ T ) = k ▽ T displaystyle rho C_ p ( partial T in excess of partial t + overrightarrow v bigtriangledown T)=kbigtriangledown T