cylindrical fuel element for a gas-cooled nuclear reactor, the heat generation rate within the fuel element due to fission can be approximated by the relation: q(r) = q_0 [1 - (r/a)^2] W/m^3 where a is the radius of the fuel element and q_0 is constant. The boundary surface at r = a is maintained at a uniform temperature T_0. Assuming one-dimensional, steady-state heat flow, develop a relation for the temperature drop from the centerline to the surface of the fuel element. For radius a= 30mm, the thermal conductivity k = 10 W/m middot K and q_0 = 2 times 10^7 W/m^3, calculate the temperature drop from the centerline to the surface.

cylindrical fuel element for a gas-cooled nuclear reactor, the heat generation rate within the fuel element due to fission can be approximated by the relation: q(r) = q_0 [1 - (r/a)^2] W/m^3 where a is the radius of the fuel element and q_0 is constant. The boundary surface at r = a is maintained at a uniform temperature T_0. Assuming one-dimensional, steady-state heat flow, develop a relation for the temperature drop from the centerline to the surface of the fuel element. For radius a= 30mm, the thermal conductivity k = 10 W/m middot K and q_0 = 2 times 10^7 W/m^3, calculate the temperature drop from the centerline to the surface.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.20P

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