Write in detail the expression for ((boldsymbol{v} cdot abla) T) in cylindrical coordinates. Also write in detail

Question:

Write in detail the expression for $(\boldsymbol{v} \cdot abla) T$ in cylindrical coordinates. Also write in detail the expression for the Laplacian, and thereby complete the temperature equation for cylindrical coordinates. What simplifications result for an axisymmetric case?

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