5.39 Consider an acrylic sheet of thickness L = 5 mm that is used to coat a hot, isothermal metal substrate at T, = 300°C. The properties of the acrylic are p= 1990 kg/m², c = 1470 J/kg · K, and k = 0.21 W/m • K. Neglecting the thermal contact resistance between the acrylic and the metal substrate, determine how long it will take for the insulated back side of the acrylic to reach its soft- ening temperature, Tyoft = 90°C. The initial acrylic tem- perature is T; = 20°C. %3D 352/ 1046

Elements Of Electromagnetics
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5.49 A long cylinder of 30-mm diameter, initially at a uni-
form temperature of 1000 K, is suddenly quenched in a
large, constant-temperature oil bath at 350 K. The cyl-
inder properties are k = 1.7 W/m · K, c = 1600 J/kg · K,
and p = 400 kg/m', while the convection coefficient is
50 W/m? · K.
(a) Calculate the time required for the surface of the
cylinder to reach 500 K.
(b) Compute and plot the surface temperature history
for 0 <t< 300 s. If the oil were agitated, provid-
ing a convection coefficient of 250 W/m2 · K, how
would the temperature history change?
Transcribed Image Text:5.49 A long cylinder of 30-mm diameter, initially at a uni- form temperature of 1000 K, is suddenly quenched in a large, constant-temperature oil bath at 350 K. The cyl- inder properties are k = 1.7 W/m · K, c = 1600 J/kg · K, and p = 400 kg/m', while the convection coefficient is 50 W/m? · K. (a) Calculate the time required for the surface of the cylinder to reach 500 K. (b) Compute and plot the surface temperature history for 0 <t< 300 s. If the oil were agitated, provid- ing a convection coefficient of 250 W/m2 · K, how would the temperature history change?
5.39 Consider an acrylic sheet of thickness L = 5 mm that
is used to coat a hot, isothermal metal substrate at T,:
300°C. The properties of the acrylic are p= 1990 kg/m',
c = 1470 J/kg •K, and k = 0.21 W/m · K. Neglecting the
thermal contact resistance between the acrylic and the
metal substrate, determine how long it will take for
the insulated back side of the acrylic to reach its soft-
ening temperature, Tsoft = 90°C. The initial acrylic tem-
perature is T; = 20°C.
%3D
352 / 1046
Transcribed Image Text:5.39 Consider an acrylic sheet of thickness L = 5 mm that is used to coat a hot, isothermal metal substrate at T,: 300°C. The properties of the acrylic are p= 1990 kg/m', c = 1470 J/kg •K, and k = 0.21 W/m · K. Neglecting the thermal contact resistance between the acrylic and the metal substrate, determine how long it will take for the insulated back side of the acrylic to reach its soft- ening temperature, Tsoft = 90°C. The initial acrylic tem- perature is T; = 20°C. %3D 352 / 1046
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