In a two-dimensional cylindrical configuration the radial (∆r) and angular (∆∅) spacing's of the nodes are uniform. The boundary at r = ri is of uniform temperature Ti. The boundaries in the radial direction are adiabatic (insulated) and exposed to surface convection (T∞, h), as illustrated. Derive the finite-difference equations for

(a) Node 2,

(b) Node 3, and

(c) Node 1.

T, h |!! Uniform temperature surface, T;