Ropbk
La
kvaw) (4m2
54-0.15)
here 4, and Ao are the areas of the inner and outer surfaces of the sphere.
- thickness of sphere
(3.16)
s called the geometrie mean area of the sphere. The thermal resistance of a
sphere given by Eq. (5.15) is similar to that of a plane wall except that the
area is replaced by the geometrie mean area,
EXAMPLE 3.3
A hollow sphere 10 om ID and 30 cm O.D. of a material having thermal
conductivity 80 W/mK is used as a container for a liguld chemical mixture.
Its inner and outer surface temperatures are 3000 and 100'C respectively,
Determine the heat flow rate through the sphere. Also estimate the tempera
ture at a point a quarter of the way between the inner and outer surfaces.
Solution Referring to Eq. (313)
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