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R01 Solid cylinder 0 < r < b, with G = 0 (Dirichlet) at r = b.
G_{R01}(r, t r^{},
) 
= 
exp
 (t  )/b^{2} 



x 

with eigenvalues given by
J_{0}() = 0.
R02 Solid cylinder 0 < r < b, with
G/r = 0
(Neumann) at r = b.
G_{R02}(r, t r^{},
) 
= 
1 + exp
 (t  )/b^{2}




x


with eigenvalues given by
J_{1}() = 0.
R03 Solid cylinder 0 < r < b, with
kG/r + hG = 0 (convection) at r = b.
G_{R03}(r, t r^{},
) 
= 
exp
 (t  )/b^{2} 



x 

with eigenvalues given by 
J_{1}() + BJ_{0}() = 0
, and B = hb/k.
Next: Hollow cylinder, transient 1D.
Up: Cylindrical Coordinates. Transient 1D.
Previous: Infinite body with circular
Kevin D. Cole
20021231