nonlinear thermal analysis, temperature dependent conductivity, temperature distribution in cylinder
A very long cylinder (infinite length) is maintained at temperature Ti along its internal surface and To along its external surface. The thermal conductivity of the cylinder is known to vary with temperature according to the linear function λ(T) = C1 + C2·T.
Axisymmetric problem of heat transfer.
R1 = 5 mm, R2 = 10 mm;
T1 = 100 °C, To = 0 °C;
C1 = 50 W/K-m, C2 = 0.5 W/K-m.
Determine the temperature distribution in the cylinder.
The axial length of the model is arbitrarily chosen to be 5 mm.
Temperature distribution in long cylinder:
|Radius (cm)||Temperature ( °C )