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-cm-thick 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 and time step of Δt = 10 s determine

(a) The implicit finite difference equations

(b) The nodal temperatures of the brass plate after 10 seconds of cooling.

Transcribed Image Text:

h, T Δε 0 1 2 3 4 do = 0