A long cylindrical rod of diameter 200 mm with thermal conductivity of 0.5 W/m-K experiences uniform volumetric heat generation o 2.4 x 104 W/m³. The rod is encapsulated by a circular sleeve having an outer diameter of 400 mm and a thermal conductivity of 4 W/m-K. The outer surface of the sleeve is exposed to cross flow of air at 27°C with a convection coefficient of 25 W/m².K. (a) Find the temperature at the interface between the rod and sleeve and on the outer surface. (b) What is the temperature at the center of the rod? (a) Tinterface = Touter (b) T(0) = i i i °℃ °℃ °℃

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A long cylindrical rod of diameter 200 mm with thermal conductivity of 0.5 W/m-K experiences uniform volumetric heat generation of
2.4 x 104 W/m³. The rod is encapsulated by a circular sleeve having an outer diameter of 400 mm and a thermal conductivity of 4
W/m-K. The outer surface of the sleeve is exposed to cross flow of air at 27°C with a convection coefficient of 25 W/m².K.
(a) Find the temperature at the interface between the rod and sleeve and on the outer surface.
(b) What is the temperature at the center of the rod?
(a) Tinterface =
Touter
(b) T(0) =
i
i
°℃
°℃
°℃
Transcribed Image Text:A long cylindrical rod of diameter 200 mm with thermal conductivity of 0.5 W/m-K experiences uniform volumetric heat generation of 2.4 x 104 W/m³. The rod is encapsulated by a circular sleeve having an outer diameter of 400 mm and a thermal conductivity of 4 W/m-K. The outer surface of the sleeve is exposed to cross flow of air at 27°C with a convection coefficient of 25 W/m².K. (a) Find the temperature at the interface between the rod and sleeve and on the outer surface. (b) What is the temperature at the center of the rod? (a) Tinterface = Touter (b) T(0) = i i °℃ °℃ °℃
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