Consider a long solid bar (k = 28 W/m K and = 12 10

Consider a long solid bar (k = 28 W/m · K and α = 12 × 10^-6 m²/s) of square cross section that is initially at a uniform temperature of 32°C. The cross section of the bar is 20 cm × 20 cm in size, and heat is generated in it uniformly at a rate of ė = 8 × 10⁵ W/m³. All four sides of the bar are subjected to convection to the ambient air at T_∞ = 30°C with a heat transfer coefficient of h 5 45 W/m² · K. Using the explicit finite difference method with a mesh size of Δx = Δy = 10 cm, determine the centerline temperature of the bar

(a) After 20 min

(b) After steady conditions are established.

Transcribed Image Text:

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