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A homogeneous solid body of arbitrary shape is initially at temperature T0. At t=0 it is immersed in a fluid medium of temperature T1. Let

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A homogeneous solid body of arbitrary shape is initially at temperature T0. At t=0 it is immersed in a fluid medium of temperature T1. Let L be a characteristic length in the solid. Show that dimensional analysis predicts that =(,,,andgeometricratios) Where =(TT0)/(T1T0),=x/L,=y/L,=z/L and =t/L2. Typical timetable for roasting turkey at 350F is Compare this empirically determined cooking schedule with the earlier results assuming that turkeys of different mass are geometrically similar

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