Consider a homogeneous spherical piece of radioactive material of radius ro = 0.04 m that is generating heat at a constant rate of 5×10 W/m. The heat generated is dissipated to the environment steadily. The outer surface of the sphere is maintained at a uniform temperature of 110°C and the thermal conductivity of the sphere is k 15 W/m.K. Assume steady one dimensional heat transfer in radial direction, constant thermo-physical properties with heat generation, (a) Write the differential equation and the boundary conditions for heat conduction through sphere (b) Find the temperature distribution based on the given conditions. (c) Evaluate the temperature at the center of the sphere.

Consider a homogeneous spherical piece of radioactive material of radius ro = 0.04 m that is generating heat at a constant rate of 5×10 W/m. The heat generated is dissipated to the environment steadily. The outer surface of the sphere is maintained at a uniform temperature of 110°C and the thermal conductivity of the sphere is k 15 W/m.K. Assume steady one dimensional heat transfer in radial direction, constant thermo-physical properties with heat generation, (a) Write the differential equation and the boundary conditions for heat conduction through sphere (b) Find the temperature distribution based on the given conditions. (c) Evaluate the temperature at the center of the sphere.

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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