Temperature distribution along the radius of a 40-cm diameter sphere was found to be T(r)=86280-² all quantities in SI units. Since the temperature is only dependent on radius (r), the heat transfer in this case is radially one- dimensional. Find out the temperature and heat transfer rate at following locations. The thermal con- ductivity of sphere is 18 W/m.°C. (a) At the surface (a) 74.8 K; 1013.35 W (b) Where r = 0.1 m (b) 83.2 K; 126.67 W

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.13P
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Temperature distribution along the radius of a 40-cm diameter sphere was found to be
T(r) = 86 280r² all quantities in SI units.
Since the temperature is only dependent on radius (r), the heat transfer in this case is radially one-
dimensional. Find out the temperature and heat transfer rate at following locations. The thermal con-
ductivity of sphere is 18 W/m.°C.
(a) At the surface
(b) Where r = 0.1 m
-
(a) 74.8 K; 1013.35 W
(b) 83.2 K; 126.67 W
Transcribed Image Text:Temperature distribution along the radius of a 40-cm diameter sphere was found to be T(r) = 86 280r² all quantities in SI units. Since the temperature is only dependent on radius (r), the heat transfer in this case is radially one- dimensional. Find out the temperature and heat transfer rate at following locations. The thermal con- ductivity of sphere is 18 W/m.°C. (a) At the surface (b) Where r = 0.1 m - (a) 74.8 K; 1013.35 W (b) 83.2 K; 126.67 W
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