Based on the dimensionless conduction heat rates for cases 12-15 in Table 4.1 b, find shape factors for the following 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) A buried hemisphere, flush with the surface.

(b) A disk on the surface. Compare your result to Table 4.1 a, case 10.

(c) A square on the surface.

(d) A buried cube, flush with the surface.

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T2 T2 (d) (d) (a) (b) and (c)