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Chapter 1
Basics of Heat Transfer
179
A hollow spherical iron container is filled with iced water at 0°C.
The rate of heat loss from the
sphere and the rate at which ice melts in the container are to be determined.
Assumptions
1
Steady operating conditions exist since the surface temperatures of the wall remain constant
at the specified values.
2
Heat transfer through the shell is onedimensional.
3
Thermal properties of the
iron shell are constant.
4
The inner surface of the shell is at the same temperature as the iced water, 0°C.
Properties
The thermal conductivity of iron is
k
= 80.2 W/m
⋅°
C (Table A3). The heat of fusion of water is
given to be 333.7 kJ/kg.
Analysis
This spherical shell can be approximated as a plate of thickness 0.4 cm and area
A =
π
D²
=
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 Fall '10
 Dr.DanielArenas
 Thermodynamics, Mass, Heat

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