Nonsteady-State Heat Conduction in a Cylinder
Nonsteady-State Heat Conduction in a Cylinder
Nonsteady-state heat conduction in a cylinder obeys the following PDE:
∂T
∂t
2
∂
∂
2
r
1
r
∂T
∂r
where is the thermal diffusivity coefficient expressed in /s, is the temperature in , and is the radial position in meters.
α
2
m
T
°C
r
The initial condition and boundary conditions are
T(r,t=0)=320°C
T(r=1,t)=220°C
∂T
∂r
This Demonstration shows the temperature profile inside the cylinder at different instants for values of the thermal diffusivity coefficient specified by the user.