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# 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 Wm2K The 10 cmthick brass plate

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 (r = 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 ∆x = 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, and (d) compare the result in (c) with the approximate analytical solution from Chapter 4.

Jul 20 2020 View more View Less