5.60 Spheres of 40-mm diameter heated to a uniform temperature of 400°C are suddenly removed from the oven and placed in a forced-air bath operating at 25°C with a convection coefficient of 300 W/m² · K on the sphere surfaces. The thermophysical properties of the 3000 kg/m', c = 850 J/kg K, sphere material are p and k = 15 W/m·K. %3D (a) How long must the spheres remain in the air bath for 80% of the thermal energy to be removed?

Elements Of Electromagnetics
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5.
5.60 Spheres of 40-mm diameter heated to a uniform
temperature of 400°C are suddenly removed from the
oven and placed in a forced-air bath operating at 25°C
with a convection coefficient of 300 W/m2 K on the
sphere surfaces. The thermophysical properties of the
sphere material are p = 3000 kg/m', c = 850 J/kg · K,
%3D
and k = 15 W/m ·K.
%3D
(a) How long must the spheres remain in the air bath
for 80% of the thermal energy to be removed?
(b) The spheres are then placed in a packing carton that
prevents further heat transfer to the environment.
What uniform temperature will the spheres eventu-
ally reach?
Transcribed Image Text:5. 5.60 Spheres of 40-mm diameter heated to a uniform temperature of 400°C are suddenly removed from the oven and placed in a forced-air bath operating at 25°C with a convection coefficient of 300 W/m2 K on the sphere surfaces. The thermophysical properties of the sphere material are p = 3000 kg/m', c = 850 J/kg · K, %3D and k = 15 W/m ·K. %3D (a) How long must the spheres remain in the air bath for 80% of the thermal energy to be removed? (b) The spheres are then placed in a packing carton that prevents further heat transfer to the environment. What uniform temperature will the spheres eventu- ally reach?
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