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Q: Consider a one-dimensional fin of uniform cross-sectional area, insulated at its tip, x = L. The temperature at the base of the fin Tb and of the adjoining fluid T8, 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.