I finally see the multiple sources of my confusion now, thank you all.
Firstly, the gradient operator in cylindrical coordinates on the scalar field ##T## is:
$$\nabla T = \frac{\partial T}{\partial r}\hat{\boldsymbol{r}} + \frac{1}{r}\frac{\partial T}{\partial \theta}\hat{\boldsymbol{\theta}}...
I'm trying to calculate the thermal conductance of the disc segment shown in the figure below.
We consider a thickness ##d##, only a non-zero heat flux only in the angular direction (no thermal loss through the sides or above and below), no heat generation and steady state condition. Also, the...