申論題

6. (15%) In a two-dimensional cylindrical configuration, the radial (△r) and angular (△Φ) spacings of the nodes are uniform. The inner boundary at r = r_iis of uniform temperature T_i. The boundaries in the radial direction are adiabatic (insulated) and exposed to surface convection (T∞, h), as illustrated in Fig. 4. Derive the finite-difference equations for (i) node 1, (il) node 2, and (iii) node 3.