Radioactive wastes are packed in a thin-walled spherical container. The wastes generate thermal energy nonuniformly according to the relation ġ = ġ, 1-(r/r.)* | where ġ is the local rate of energy generation per unit volume, ġ, is a constant, and r, is the radius of the container. Steady- state conditions are maintained by submerging the container in a liquid that is at T̟ and provides a uniform convection coefficient h.

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Chapter7: Forced Convection Inside Tubes And Ducts
Section: Chapter Questions
Problem 7.1DP
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Determine the temperature distribution, T(r), in the container. Express your result in terms of
ġ,, r,, T, , h, and the thermal conductivity k of the radioactive wastes.
Transcribed Image Text:Determine the temperature distribution, T(r), in the container. Express your result in terms of ġ,, r,, T, , h, and the thermal conductivity k of the radioactive wastes.
Radioactive wastes are packed in a thin-walled spherical container. The wastes generate thermal
energy nonuniformly according to the relation ġ = ġ, 1–(r/r.)* | where ġ is the local rate of
energy generation per unit volume, ġ, is a constant, and r, is the radius of the container. Steady-
state conditions are maintained by submerging the container in a liquid that is at T, and provides
a uniform convection coefficient h.
Coolant
T, h
- ġ = 4, [1– (rlr,²]
11
Transcribed Image Text:Radioactive wastes are packed in a thin-walled spherical container. The wastes generate thermal energy nonuniformly according to the relation ġ = ġ, 1–(r/r.)* | where ġ is the local rate of energy generation per unit volume, ġ, is a constant, and r, is the radius of the container. Steady- state conditions are maintained by submerging the container in a liquid that is at T, and provides a uniform convection coefficient h. Coolant T, h - ġ = 4, [1– (rlr,²] 11
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