Radioactive wastes are packed in a thin-walled spherical container. The wastes generate thermal energy nonuniformly according to the relation ġ = 4, 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 = ¿, (1– (r/r,)²] Determine the temperature distribution, T(r), in the container. Express your result in terms of 4,, 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 = 4, 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 = ¿, (1– (r/r,)²] Determine the temperature distribution, T(r), in the container. Express your result in terms of 4,, r,, T, , h, and the thermal conductivity k of the radioactive wastes.

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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