Question

Transient Conduction - Semi-Infinite Solid

Consider an acrylic sheet of thickness L = 5 mm that is used to coat a hot, isothermal metal substrate at Th = 300 C. The properties of acrylicare ρ = 1990 kg / m3, c = 1470 J / kg K , and k = 0.21 W / m K. Neglecting the thermal contact resistance between the acrylic and the metalsubstrate, determine how long it will take for the insulated back of the acrylic to reach its softening tempature, Tsoft = 90 C. The initialacrylic tempature is Ti = 20 C.

answer: 74 s

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