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Transport Phenomena

Problem 2.257

The thermal power of density ww is generated uniformly inside a uniform sphere of radius RR and heat conductivity coefficient x.x . Find the temperature distribution in the sphere provided the steady-state temperature at its surface is equal to T˙0\dot{T}_{0}.

Reveal Answer
T=T0+(R2−r2)w/6xT=T_{0}+\left(R^{2}-r^{2}\right) w / 6 x
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