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Consider one-dimensional, non-steady heat transfer in a solid sphere for Re0rb and t>0. The sphere is initially at T(r, t=0)= To. At t =

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Consider one-dimensional, non-steady heat transfer in a solid sphere for Re0rb and t>0. The sphere is initially at T(r, t=0)= To. At t = 0, a constant volumetric heat source of go is activated and the temperature at r = b is maintained at T(= b, t) = To. Assuming all properties are known, develop an expression for T(r, t). Use the form of the heat conduction equation given as: 1 OT 1 a 2 F Op [PT] + 80 r k and identify an appropriate substitution. Do not integrate for the homogeneous component.

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