Reference solution
=====================


Calculation method used for the reference solution
--------------------------------------------------------

The reference solution is the one given in sheet TPLA07 /89 of guide VPCS.

Temperature: :math:`T(r,z)=-117.46\mathrm{log}r+12.5z-311.87`


Benchmark results
----------------------


* temperature in :math:`r=0.03,0.035,0.04` and :math:`0.05` and for :math:`z=0.,0.2` and :math:`0.4`,


* flux density on the inner and outer surface,


* flow density along the :math:`z` axis.


Uncertainty about the solution
---------------------------

Analytical solution.


Bibliographical references
---------------------------


1. Guide to the validation of structural calculation software packages. French Society of Mechanics, AFNOR 1990 ISBN 2-12-486611-7