Steady-State Heat Conduction in a Cylinder
This Demonstration shows graphically an analytical solution for steady-state two-dimensional heat conduction in a cylinder.
The equation for steady-state heat conduction (or momentum transfer) in a cylinder is
with these boundary conditions:
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.