he boiling temp of nitrogen at 1 atm is -196°C. The temp of liquid itrogen in a tank open to the atmosphere at sea level will remain constant until it is depleted. Any heat ransfer to the tank will result in the evaporation of some liquid nitrogen, which has a heat of vaporization of 198 kJ/kg and a density of 810 kg/m at 1 atm. Consider a 3-m-diameter spherical tank that is initially illed with liquid nitrogen at 1 atm and -196°C. The tank is exposed to ambient air at 15°C, with a onvection heat transfer coefficient of 35 W/m?-K. The temperature of the thin-shelled spherical tank is observed to be almost the same as the temperature of the nitrogen inside. Determine the rate of vaporation of the liquid nitrogen in the tank as a result of heat transfer N2 vapor rom the ambient air if the tank is (a) not insulated, (b) insulated with 5- Ti- 15°C air m thick fiberglass insulation (k=0.035 W/m-K) and (c) insulated with 2- m thick super-insulation which has an effective thermal conductivity of p.00005 W/m-K. I atm Liquid N, -196°C Insulation

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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The boiling temp of nitrogen at 1 atm is -196°C. The temp of liquid
nitrogen in a tank open to the atmosphere at sea level will remain constant until it is depleted. Any heat
transfer to the tank will result in the evaporation of some liquid nitrogen, which has a heat of vaporization
of 198 kJ/kg and a density of 810 kg/m² at 1 atm. Consider a 3-m-diameter spherical tank that is initially
filled with liquid nitrogen at 1 atm and -196°C. The tank is exposed to ambient air at 15°C, with a
convection heat transfer coefficient of 35 W/m?-K. The temperature of the thin-shelled spherical tank is
observed to be almost the same as the temperature of the nitrogen inside. Determine the rate of
evaporation of the liquid nitrogen in the tank as a result of heat transfer
N, vapor
from the ambient air if the tank is (a) not insulated, (b) insulated with 5-
T= 15°C
cm thick fiberglass insulation (k=0.035 W/m-K) and (c) insulated with 2-
cm thick super-insulation which has an effective thermal conductivity of
0.00005 W/m-K.
1 atm
Liquid N,
-196°C
Insulation
Transcribed Image Text:The boiling temp of nitrogen at 1 atm is -196°C. The temp of liquid nitrogen in a tank open to the atmosphere at sea level will remain constant until it is depleted. Any heat transfer to the tank will result in the evaporation of some liquid nitrogen, which has a heat of vaporization of 198 kJ/kg and a density of 810 kg/m² at 1 atm. Consider a 3-m-diameter spherical tank that is initially filled with liquid nitrogen at 1 atm and -196°C. The tank is exposed to ambient air at 15°C, with a convection heat transfer coefficient of 35 W/m?-K. The temperature of the thin-shelled spherical tank is observed to be almost the same as the temperature of the nitrogen inside. Determine the rate of evaporation of the liquid nitrogen in the tank as a result of heat transfer N, vapor from the ambient air if the tank is (a) not insulated, (b) insulated with 5- T= 15°C cm thick fiberglass insulation (k=0.035 W/m-K) and (c) insulated with 2- cm thick super-insulation which has an effective thermal conductivity of 0.00005 W/m-K. 1 atm Liquid N, -196°C Insulation
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