For the same initial temperatures T_s and T_a and at the same Fourier number, would the average temperature of a sphere be higher or lower than that of a cylinder or a slab? (See Fig. 10.5.) What are the physical reasons that would lead you to expect this?

Fig. 10.5

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100000 4967 95 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.09 0.08 AN TA 0.07 0.06 0.05 0,04 0.03 0.02 A 1 U ||| Slab [Eq. (10.2011 Cylinder [Eq. (10.21)] Sphere [Eq. (10.22)] 0,01 0 0.1 02 03 04 05 06 07 08 09 10 11 12 13 14 15 aty ah Fo- of