In a solid sphere, a heat flow is produced by a source that generates energy at a rate of S W/m3 . generates energy at a rate of S W/m3 throughout its volume. The radius of the sphere is R, its thermal conductivity k and the surface of the sphere is maintained at a temperature TR. Derive an expression between the temperature and the distance from the center, in the steady state, for: (a) k = k0, constant. (b) k = k0 (1 + B T) (T = temperature, k0 and B = constants).

In a solid sphere, a heat flow is produced by a source that generates energy at a rate of S W/m3 . generates energy at a rate of S W/m3 throughout its volume. The radius of the sphere is R, its thermal conductivity k and the surface of the sphere is maintained at a temperature TR. Derive an expression between the temperature and the distance from the center, in the steady state, for: (a) k = k0, constant. (b) k = k0 (1 + B T) (T = temperature, k0 and B = constants).

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter2: Steady Heat Conduction

Section: Chapter Questions

Problem 2.21P

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