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Up: Cylindrical Coordinates. Transient 1-D.
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R01 Solid cylinder 0 < r < b, with G = 0 (Dirichlet) at r = b.
GR01(r, t r,
) |
= |
exp
- (t - )/b2 |
|
|
|
x |
|
with eigenvalues given by
J0() = 0.
R02 Solid cylinder 0 < r < b, with
G/r = 0
(Neumann) at r = b.
GR02(r, t r,
) |
= |
1 + exp
- (t - )/b2
|
|
|
|
x
|
|
with eigenvalues given by
J1() = 0.
R03 Solid cylinder 0 < r < b, with
kG/r + hG = 0 (convection) at r = b.
GR03(r, t r,
) |
= |
exp
- (t - )/b2 |
|
|
|
x |
|
with eigenvalues given by -
J1() + BJ0() = 0
, and B = hb/k.
Next: Hollow cylinder, transient 1-D.
Up: Cylindrical Coordinates. Transient 1-D.
Previous: Infinite body with circular
Kevin D. Cole
2002-12-31