Consider a two-dimensional, straight triangular fin of length L = 50 mm and base thickness t = 20 mm. The thermal conductivity of the fin is k = 25 W/m
· K. The base temperature is T_b = 50°C, and the fin is exposed to convection conditions characterized by h = 50 W/m² · K, T_∞ = 20C. Using a finite difference mesh with Δx = 10 mm and Δy = 2 mm, and taking advantage of symmetry, determine the fin efficiency, η_f. Compare your value of the fin efficiency with that reported in Figure 3.19.

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(%) 4 100 80 60 40 20 0 05 L = L + 1/2 A₂ = Lt 1.0 11/2 13/2² (h/kA)¹/2 1.5 + 1/2 4 t/2 2.0 L₁ = L A = Lt/3 L = L = Lt/2 Ap 2.5