** Next:** Radial Cylindrical Coordinates, Steady 2D and 3D. Cases R0JZKL and R0JZKL
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** Previous:** Solid cylinder, steady 1-D.

R11 Hollow cylinder,
*a*
*r*
*b*, with *G* = 0
(Dirichlet) at r=a and at r=b.
R12 Hollow cylinder,
*a*
*r*
*b*, with *G* = 0
(Dirichlet) at *r* = *a* and
*G*/*r* = 0 (Neumann) at *r* = *b*.
R13 Hollow cylinder,
0
*r*
*b*, with *G* = 0
(Dirichlet) at *r* = 0 and
*k**G*/*r* + *h*_{2}*G* = 0 (convection) at *r* = *b*. Note
*B*_{2} = *h*_{2}*b*/*k*.
R21 Hollow cylinder,
*a*
*r*
*b*, with
*G*/*r* = 0 (Neumann) at *r* = *a* and *G* = 0 (Dirichlet) at *r* = *b*.
R22 Hollow cylinder,
*a*
*r*
*b*, with
*G*/*r* = 0 (Neumann) at both boundaries. Note that this geometry
requires a pseudo GF, denoted *H*. The temperature solution found from a
pseudo GF requires that the total volumetric heat flow is equal to the
boundary heat flow, and the spatial average temperature in the body must be
supplied as a known condition.
R23 Hollow cylinder,
*a*
*r*
*b*, with
*G*/*r* = 0 (Neumann) at *r* = *a* and
*k**G*/*r* + *h*_{2}*G* = 0
(convection) at *r* = *b*. Note
*B*_{2} = *h*_{2}*b*/*k*.
R31 Hollow cylinder,
*a*
*r*
*b*, with
- *k**G*/*r* + *h*_{1}*G* = 0 (convection) at *r* = *a* and *G* = 0 (Dirichlet) at *r* = *b*.
Note
*B*_{1} = *h*_{1}*a*/*k*
R32 Hollow cylinder,
*a*
*r*
*b*, with
- *k**G*/*r* + *h*_{2}*G* = 0 (convection) at *r* = *a* and
*G*/*r* = 0
(Neumann) at *r* = *b*. Note
*B*_{1} = *h*_{1}*a*/*k*.
R33 Hollow cylinder,
*a*
*r*
*b*, with
- *k**G*/*r* + *h*_{1}*G* = 0 (convection) at *r* = *a* and
*k**G*/*r* + *h*_{2}*G* = 0 (convection) at *r* = *b*. Note
*B*_{1} = *h*_{1}*a*/*k* and
*B*_{2} = *h*_{2}*b*/*k*.

** Next:** Radial Cylindrical Coordinates, Steady 2D and 3D. Cases R0JZKL and R0JZKL
** Up:** Radial-Cylindrical Coordinates. Steady 1-D.
** Previous:** Solid cylinder, steady 1-D.
*Kevin D. Cole*

*2002-12-31*