A hot brass plate is having its upper surface cooled by impinging jet of air at temperatur...

A hot brass plate is having its upper surface cooled by impinging jet of air at temperature of 15°Cand convection heat transfer coefficient of 220 W/m2-K. The 10-cm-thick brass plate (p = 8530 kg/m3, cp = 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= 10s determine (a) the implicit finite difference equations and (b) the nodal temperatures of the brass plate after 10 seconds of cooling.

Answers: T0 = 631.2°C, T1, = 644.7°C, T2 = 648.5°C, T3 649.6°C. T4 = 649.8°C

FIGURE P5-88