Nonsteady-State Heat Conduction in a Cylinder

Nonsteady-state heat conduction in a cylinder obeys the following PDE:
,
where is the thermal diffusivity coefficient expressed in , is the temperature in , and is the radial position in meters.
The initial condition and boundary conditions are
(initial temperature);
(the temperature at the cylinder surface is kept constant);
(symmetry condition).
This Demonstration shows the temperature profile inside the cylinder at different instants for values of the thermal diffusivity coefficient specified by the user.

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