G_{R10}(r, t r^{}, ) | = | exp - (t - )/a^{2}d | |
where R(r) | = | J_{0}(r/a)Y_{0}() - Y_{0}(r/a)J_{0}() |
R20 Infinite region with circular hole,
a < r < ,
with
Gr = 0 (Neumann) at r = a.
G_{R10}(r, t r^{}, ) | = | exp - (t - )/a^{2}d | |
where R(r) | = | J_{0}(r/a)Y_{1}() - Y_{0}(r/a)J_{1}() |
R30 Infinite region with circular hole,
a < r < ,
with
- kGr + hG = 0 (convection) at r = a.
G_{R10}(r, t r^{}, ) | = | exp - (t - )/a^{2}d | |
where R(r) | = | W_{0}J_{0}(r/a) - U_{0}Y_{0}(r/a) | |
W_{0} | = | - Y_{1}() - BY_{0}() | |
U_{0} | = | - J_{1}() - BJ_{0}() | |
and B | = |