Maurice Tutor
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4.10  Based on the dimensionless conduction heat rates for cases 12–15 in Table 4.1b, find shape factors for the fol- lowing objects having temperature T1, located at the surface of a semi-infinite medium having temperature T2. The surface of the semi-infinite medium is adiabatic.
(a)Â Â Â A buried hemisphere, flush with the surface.
(b)Â Â A disk on the surface. Compare your result to Table 4.1a, case 10.
(c)Â Â Â A square on the surface.
(d)Â Â A buried cube, flush with the surface.
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 D                          D         T1                       D
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DÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â T1Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â T2
T2Â Â Â Â T1Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â T2
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(a)Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (b) and (c)Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (d)
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4.11  Determine the heat transfer rate between two particles of diameter D = 100 µ,m and temperatures T1 = 300.1 K
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and T2 = 299.9 K, respectively. The particles are in con- tact and are surrounded by air.
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