Uncertainty propagation for transient heat transfer in a hollow cylinder

Uncertainty propagation and transient heat transfer for radial hollow cylinders is analyzed. The stochastic Biot number, stochastic linear initial conditions, and various boundary conditions describe the temperature distribution throughout the hollow cylinder. The resulting uncertainty amplitude was observed to have transient evolution in time. The uncertainty can either increase or decrease depending on the stochastic parameters. Results are presented for the variation of temperature due to uncertainties in the initial conditions and particular boundary conditions.