Q HW5 - Obtain an expression for the temperature...

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EML 6154 HW 5 Due Friday Oct. 9 (A) Work problems 4.6, 4.7 and 4.13. B) A solid sphere of radius a is initially at a temperature F(r). For times t > 0, heat is generated throughout the sphere at a constant rate of g o per unit volume, while the outer boundary (r= a ) dissipates heat by convection into a medium at zero temperature.
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Unformatted text preview: Obtain an expression for the temperature distribution T(r, t) in the sphere. Using the U(r, t) = rT(r, t) transformation of the heat equation: t T k g rT r r 1 ) ( 1 2 2 transforms to t U k rg r U 1 2 2...
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