Show that the solution of the diffusion equation in the case of cylindrical geometry (see Fig. 5),

can be written in terms of Bessel's functions J_m(kr) . Explain how k must be determined so that n(r, t) satisfies the boundary condition n = 0 at r = R₀.

Figure 5.

Transcribed Image Text:

d² S(r) dr² + 1dS(r) r dr +k² S(r) = 0