Based on the dimensionless conduction heat rates for cases 12–15 in Table 4.1b, 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 4.1a, case 10.
(c) A square on the surface.
(d) A buried cube, flush with the surface