Consider a one-dimensional fin of uniform cross-sectional area, insulated at its tip, x = L. (See Table 3.4. case B). The temperature at the base of the fin Tb and of the adjoining fluid T∞, as well as the heat transfer coefficient h and the thenna1 conductivity k, are known.

(a) Derive the finite-difference equation for any interior node m.

(b) Derive the finite-difference equation for a node n located at the insulated tip.