R11 Hollow cylinder, a r b, with G = 0 (Dirichlet) at r=a and at r=b.

2GR11(r  r) =

R12 Hollow cylinder, a r b, with G = 0 (Dirichlet) at r = a and G/r = 0 (Neumann) at r = b.

2GR12(r  r) =

R13 Hollow cylinder, 0 r b, with G = 0 (Dirichlet) at r = 0 and kG/r + h2G = 0 (convection) at r = b. Note B2 = h2b/k.

2GR13(r  r) =

R21 Hollow cylinder, a r b, with G/r = 0 (Neumann) at r = a and G = 0 (Dirichlet) at r = b.

2GR21(r  r) =

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.

2HR22(r  r) =

R23 Hollow cylinder, a r b, with G/r = 0 (Neumann) at r = a and kG/r + h2G = 0 (convection) at r = b. Note B2 = h2b/k.

2GR23(r  r) =

R31 Hollow cylinder, a r b, with - kG/r + h1G = 0 (convection) at r = a and G = 0 (Dirichlet) at r = b. Note B1 = h1a/k

2GR31(r  r) =

R32 Hollow cylinder, a r b, with - kG/r + h2G = 0 (convection) at r = a and G/r = 0 (Neumann) at r = b. Note B1 = h1a/k.

2GR32(r  r) =

R33 Hollow cylinder, a r b, with - kG/r + h1G = 0 (convection) at r = a and kG/r + h2G = 0 (convection) at r = b. Note B1 = h1a/k and B2 = h2b/k.

2GR33(r  r) =