Consider a 2 cm 3 4 cm ceramic strip (k = 3 W/m · K, ρ = 1600 kg/m³ and c_p = 800 J/kg · K) embedded in very high conductivity material as shown in Fig. P5–120. The two sides of the ceramic strip are maintained at a constant temperature of 300°C. The bottom surface of the strip is insulated while the top surface is exposed to a convective environment with h = 200 W/m² · K and ambient temperature of 50°C. Initially at t = 0, the ceramic strip is at a uniform temperature of 300°C. Using implicit finite difference formulation and a time step of 2 seconds, determine the nodal temperatures after 12 seconds for a uniform mesh size of 1 cm.

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T = 300°C h = 200 W/m².K 1 4 7 2 5 8 Insulation T% = 50°C 3 6 9 T = 300°C