Steady-State Heat Conduction in a Cylinder

This Demonstration shows graphically an analytical solution for steady-state two-dimensional heat conduction in a cylinder.

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The equation for steady-state heat conduction (or momentum transfer) in a cylinder is
, (1)
with these boundary conditions:
at ,
at ,
at ,
at .
The analytic solution is given by:
,
where is the Bessel function of order 0.
Reference: R. B. Bird, W. E. Stewart, and E. N. Lightfoot, Transport Phenomena, 2nd ed., New York: John Wiley and Sons, 2007.
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