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A 3-m internal diameter spherical tank made of 2-cm-thick stainless steel (k = 15 W/m °C) is used to store iced water at T.1= 0°C. The tank is located in a room whose temperature is Ta= 22°C. The walls of the room are also at 22°C. The outer surface of the tank is black 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 hi 80 W/m? °C and hz 10 W/m2 °C, 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 fusion of water at 1 atm is hr 333.7 k/kg. The outer surface of the tank can be assumed black at temperature 4 °C.

A 3-m internal diameter spherical tank made of 2-cm-thick stainless steel (k = 15 W/m °C) is used to store iced water at T.1= 0°C. The tank is located in a room whose temperature is Ta= 22°C. The walls of the room are also at 22°C. The outer surface of the tank is black 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 hi 80 W/m? °C and hz 10 W/m2 °C, 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 fusion of water at 1 atm is hr 333.7 k/kg. The outer surface of the tank can be assumed black at temperature 4 °C.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A 3-m internal diameter spherical tank made of 2-cm-thick stainless steel (k = 15 W/m °C) is used to store iced water at T.1 0°C. The tank is located in a room whose temperature is T2 = 22°C. The walls of the room are also at 22°C. The outer surface of the tank is black 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 hi = 80 W/m2 °C and hz = 10 W/m? °C, 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 fusion of water at 1 atm is ba= 333.7 kJ/kg. The outer surface of the tank can be assumed black at temperature 4 °C.
Transcribed Image Text:A 3-m internal diameter spherical tank made of 2-cm-thick stainless steel (k = 15 W/m °C) is used to store iced water at T.1 0°C. The tank is located in a room whose temperature is T2 = 22°C. The walls of the room are also at 22°C. The outer surface of the tank is black 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 hi = 80 W/m2 °C and hz = 10 W/m? °C, 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 fusion of water at 1 atm is ba= 333.7 kJ/kg. The outer surface of the tank can be assumed black at temperature 4 °C.
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