A hot brass plate is having its upper surface cooled by impinging jet of air at temperature of 15°C and convection heat transfer coefficient of 220 W/m² · K. The 10-cmthick brass plate (ρ = 8530 kg/m³, c_p = 380 J/kg · K, k = 110 W/m · K, and α = 33.9 × 10^-6 m²/s) had a uniform

initial temperature of 650°C, and the lower surface of the plate is insulated. Using a uniform nodal spacing of Δx = 2.5 cm determine

(a) The explicit finite difference equations,

(b) The maximum allowable value of the time step,

(c) The temperature at the center plane of the brass plate after 1 minute of cooling,

Transcribed Image Text:

L= 10 cm- Brass slab Air, 15°C h = 220 W/m².K X -Insulation