Generic plate and experiment-related high-fidelity models to study uncertainty propagation and transient processes for heat rejection problems are developed. The stochastic Biot numbers on the top and bottom surfaces of the plate, and , and stochastic dimensionless input parameters, describing initial and convection boundary conditions, are introduced to define temperature variation in the modeled systems. The resulting uncertainty amplitude demonstrates a varying time evolution across a wide range of mean values of the input parameters. Depending on which input parameters are stochastic, the uncertainty may increase or decrease over time, or remain small for a given time interval in the case of the plate model. For small , dimensionless characteristic time for a temperature variation curve to approach its steady state is and large. An extremum in a temperature variation curve may appear when the Biot numbers are unequal and disappears if . Results are nonsymmetric with respect to interchanging and . Despite the difference in shape, the temperature variation profile over a specific region in the experimental test section numerically described by the high-fidelity model is close to the corresponding results provided by the plate model for the same Biot numbers, convection boundary, and initial conditions.
Modeling of Uncertainty Propagation for Transient Heat Rejection Problems
Journal of Thermophysics and Heat Transfer ; 38 , 2 ; 181-189
2023-10-14
9 pages
Article (Journal)
Electronic Resource
English
Uncertainty Propagation for Multidisciplinary Problems
Springer Verlag | 2020
|Transient heat conduction in low-heat-rejection engine combustion chambers
Automotive engineering | 1987
|Transient Heat Conduction in Low-Heat-Rejection Engine Combustion Chambers
SAE Technical Papers | 1987
|