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Q: In a two-dimensional cylindrical configuration the radial (Δr) and angular (ΔØ) 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 (T8, h), as illustrated. Derive the finite-difference equations for
(a) Node 2,
(b) Node 3, and
(c) Node 1.
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