The spherical, thin – walled metallic container is used to store liquid nitrogen at 77 K. The container has a diameter of 0.5 m and is covered with an evacuated insulation system composed of silica powder (k = 0.0017 W/m – K). The insulation is 25 mm thick, and its outer surface is exposed to ambient air at 300 K. The latent heat of vaporization of liquid nitrogen is 2 x 105 J/kg. If the convection coefficient is 20 W/m2 – K over the outer surface. Determine the rate of liquid boil – off of nitrogen per hour. Show expiration of critical radius of insulation.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The spherical, thin – walled metallic container is used to store liquid nitrogen at 77 K.
The container has a diameter of 0.5 m and is covered with an evacuated insulation
system composed of silica powder (k = 0.0017 W/m – K). The insulation is 25 mm thick,
and its outer surface is exposed to ambient air at 300 K. The latent heat of vaporization
of liquid nitrogen is 2 x 105 J/kg. If the convection coefficient is 20 W/m2 – K over the
outer surface. Determine the rate of liquid boil – off of nitrogen per hour. Show
expiration of critical radius of insulation.

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