Derive the finite-difference equations for node, Mechanical Engineering

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Derive the finite-difference equations for node

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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

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Mechanical Engineering: Derive the finite-difference equations for node

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Mechanical Engineering: Derive the finite-difference equations for node

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