A nuclear fuel is in the form of hollow cylinder insulated at the inner surface. Its inner and outer radii are 50 mm and 100 mm, respectively. Outer surface gives heat to the fluid at 50°C where the unit surface conductance is 100 W/(m2-K). The thermal conductivity of the material is 50 W/(m-K). a. Find the rate of heat generation so that maximum temperature in the system will not exceed 200°C. b. Find the heat transfer rate per unit length of fuel element 75 mm from the center of the fuel element.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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A nuclear fuel is in the form of hollow cylinder insulated at the inner surface. Its inner and outer radii are 50 mm and 100 mm, respectively. Outer surface gives heat to the fluid at 50°C where the unit surface conductance is 100 W/(m2-K). The thermal conductivity of the material is 50 W/(m-K).
a. Find the rate of heat generation so that maximum temperature in the system will not exceed 200°C.

b. Find the heat transfer rate per unit length of fuel element 75 mm from the center of the fuel element.

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