題組內容

Problem 3 
A sphere of radius R and thermal conductivity ky is embedded in an infinite solid of
thermal conductivity ko. The center of the sphere is located at the origin of coordinates
and there is a constant temperature gradient A in the positive z direction far from the
sphere. The temperature at the center of the sphere is 61bfdae2b8efd.jpg.
The steady-state temperature distribution in the sphere T1 and in the surounding
medium T0 have been shown to be:
61bfdacba14cb.jpg61bfdb1f2b95b.jpg

(d) Show that Eqs. (1) and (2) satisfy the boundary conditions in (b).