A long cylindrical nuclear fuel rod has the following steady-state temperature distribution: T(6) = 500( 1 - + T,, where R is the fuel-rod radius and T, is the surface temperature. T(r) is expressed in kelvins. For a fuel rod with R = 25 mm, T, = 800 K, and thermal conductivity of 40 W/m K, determine both the heat flux at r = R and the heat-transfer rate per unit length of rod, (i.e., QIL (=] W/m). Plot the temperature distribution.

A long cylindrical nuclear fuel rod has the following steady-state temperature distribution: T(6) = 500( 1 - + T,, where R is the fuel-rod radius and T, is the surface temperature. T(r) is expressed in kelvins. For a fuel rod with R = 25 mm, T, = 800 K, and thermal conductivity of 40 W/m K, determine both the heat flux at r = R and the heat-transfer rate per unit length of rod, (i.e., QIL (=] W/m). Plot the temperature distribution.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Work and Heat Transfer

It is generally related to thermal engineering which tells about the use, creation, conversion and transfer of heat energy between the systems. It is also considered that to transfer heat from one source to another, transfer of masses is also required. There are various mechanisms by which, transfer of heat takes place i.e. thermal conduction, convection, radiation or by change of phase. All these mechanisms have their own specific features which sometimes occur simultaneously within the same system.

Question

7.
A long cylindrical nuclear fuel rod has the
following steady-state temperature distribution:
T(r) = 5001
so0(1-)-
+ T,,
R2
where R is the fuel-rod radius and T, is the surface
temperature. T(r) is expressed in kelvins. For a fuel
rod with R = 25 mm, T, = 800 K, and thermal
conductivity of 40 W/m K, determine both the heat
flux at r = R and the heat-transfer rate per unit length
of rod, (i.e., Q/L (=] W/m). Plot the temperature
distribution.
Ts
工

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