In a cylindrical fuel element for a gas-cooled nuclear reactor, the generation rate of thermal energy within the fuel element due to fission can be approximated by the relation q(1) = 9| W/m3 where a is the radius of the fuel element and is constant.The boundary surface at r = a is maintained at a uniform temperature Tŋ. (a) Assuming one-dimensional, steady-state heat flow, develop a relation for the temperature drop from the centreline to the surface of the fuel element. (b) For a radius of a = 2 x 107 W/m³, calculate the temperature drop from the centreline to the surface. 30 mm, the thermal conductivity k = 10 W/(m °C) and q :

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.12P
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Q1: (5pt)
In a cylindrical fuel element for a gas-cooled nuclear reactor, the generation rate of
thermal energy within the fuel element due to fission can be approximated by the relation
q(1)
W/m³
%3D
where a is the radius of the fuel element and is constant.The boundary surface at
r = a is maintained at a uniform temperature Tɔ.
(a) Assuming one-dimensional, steady-state heat flow, develop a relation for the
temperature drop from the centreline to the surface of the fuel element.
(b) For a radius of a = 30 mm, the thermal conductivity k = 10 W/(m °C) and qo =
2 x 107 W/m³, calculate the temperature drop from the centreline to the surface.
02: (5pt)
Transcribed Image Text:Q1: (5pt) In a cylindrical fuel element for a gas-cooled nuclear reactor, the generation rate of thermal energy within the fuel element due to fission can be approximated by the relation q(1) W/m³ %3D where a is the radius of the fuel element and is constant.The boundary surface at r = a is maintained at a uniform temperature Tɔ. (a) Assuming one-dimensional, steady-state heat flow, develop a relation for the temperature drop from the centreline to the surface of the fuel element. (b) For a radius of a = 30 mm, the thermal conductivity k = 10 W/(m °C) and qo = 2 x 107 W/m³, calculate the temperature drop from the centreline to the surface. 02: (5pt)
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