Uncertainty propagation in transient heat transfer for radial hollow cylinders was analyzed. The outer surface was assumed to be isothermal, and the inner surface was subjected to a convective boundary condition. The temperature distribution within the hollow cylinder was characterized by a stochastic Biot number, stochastic linear nondimensional initial conditions, and various boundary conditions. The resulting uncertainty amplitude exhibited transient temporal evolution. Depending on the stochastic parameters, uncertainty can either increase or decrease. Results are presented for the variation of temperature due to uncertainties in the initial conditions and selected boundary conditions.
Citation: Rama Subba Reddy Gorla, Lochlan Joyce. Quantification of uncertainty propagation for transient heat transfer in a hollow cylinder[J]. Metascience in Aerospace, 2026, 3(1): 15-27. doi: 10.3934/mina.2026002
Uncertainty propagation in transient heat transfer for radial hollow cylinders was analyzed. The outer surface was assumed to be isothermal, and the inner surface was subjected to a convective boundary condition. The temperature distribution within the hollow cylinder was characterized by a stochastic Biot number, stochastic linear nondimensional initial conditions, and various boundary conditions. The resulting uncertainty amplitude exhibited transient temporal evolution. Depending on the stochastic parameters, uncertainty can either increase or decrease. Results are presented for the variation of temperature due to uncertainties in the initial conditions and selected boundary conditions.
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Rama Subba Reddy Gorla, Lochlan Joyce. Quantification of uncertainty propagation for transient heat transfer in a hollow cylinder[J]. Metascience in Aerospace, 2026, 3(1): 15-27. doi: 10.3934/mina.2026002
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