Troom = 25°C Problem-4: An 8-m-internal-diameter spherical tank made of 1.5-cm-thick stainless steel (k = 15 W/m K) is used to store iced water at 0°C. The tank is located in a room whose temperature is 25°C. The walls of the room are also at 25°C. The outer surface of the tank is black (emissivity 1), and heat transfer between the outer surface of the tank and the surroundings is by natural convection and radiation. The convection heat transfer coefficients at the inner and the outer surfaces of the tank are 80 W/m² K and 10 W/m².K, respectively. Determine (a) the rate of heat transfer to the iced water in the tank and (b) the amount of ice at 0°C that melts during a 24-h period. The heat of the fusion of water at atmospheric pressure is h/5 333.7 kJ/kg. Iced water D D₁= 8 m Tin = 0°C 1.5 cm

Elements Of Electromagnetics
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Troom = 25°C
Problem-4: An 8-m-internal-diameter spherical tank made of 1.5-cm-thick stainless steel (k = 15
W/m-K) is used to store iced water at 0°C. The tank is located in a room whose temperature is
25°C. The walls of the room are also at 25°C. The outer surface of the tank is black (emissivity =
1), and heat transfer between the outer surface of
the tank and the surroundings is by natural
convection and radiation. The convection heat
transfer coefficients at the inner and the outer
surfaces of the tank are 80 W/m²-K and 10
W/m².K, respectively. Determine (a) the rate of
heat transfer to the iced water in the tank and (b)
the amount of ice at 0°C that melts during a 24-h
period. The heat of the fusion of water at
atmospheric pressure is hf5 333.7 kJ/kg.
Iced water
D
D₁= 8 m
Tin = 0°C
1.5 cm
Transcribed Image Text:Troom = 25°C Problem-4: An 8-m-internal-diameter spherical tank made of 1.5-cm-thick stainless steel (k = 15 W/m-K) is used to store iced water at 0°C. The tank is located in a room whose temperature is 25°C. The walls of the room are also at 25°C. The outer surface of the tank is black (emissivity = 1), and heat transfer between the outer surface of the tank and the surroundings is by natural convection and radiation. The convection heat transfer coefficients at the inner and the outer surfaces of the tank are 80 W/m²-K and 10 W/m².K, respectively. Determine (a) the rate of heat transfer to the iced water in the tank and (b) the amount of ice at 0°C that melts during a 24-h period. The heat of the fusion of water at atmospheric pressure is hf5 333.7 kJ/kg. Iced water D D₁= 8 m Tin = 0°C 1.5 cm
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