Publicado 6 números por año
ISSN Imprimir: 1940-2503
ISSN En Línea: 1940-2554
Indexed in
INTRINSIC VERIFICATION OF AN EXACT ANALYTICAL SOLUTION IN TRANSIENT HEAT CONDUCTION
SINOPSIS
The present work provides guidelines on how to perform as a whole the intrinsic verification of an exact analytical solution to a transient heat conduction problem. In particular, the addressed problem concerns a finite rectangular body in imperfect thermal contact with a high-conductivity surface layer that might represent an experimental apparatus for thermal properties transient measurements. Also, a new useful tool termed the "exact solution-based finite difference scheme" using high precision is suggested. This tool ensures an accuracy of the solution to many significant figures (such as ten or even 15), far beyond the accuracy generally practicable from fully numerical solutions. This high accuracy is important not only for checking fully-numerical codes but also for calculating accurately the sensitivity coefficients (related to thermal properties estimation) when using a finite difference scheme.
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D’Alessandro Giampaolo, de Monte Filippo, Amos Donald E., Effect of Heat Source and Imperfect Contact on Simultaneous Estimation of Thermal Properties of High-Conductivity Materials, Mathematical Problems in Engineering, 2019, 2019. Crossref
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Carr Elliot J., Rear-surface integral method for calculating thermal diffusivity from laser flash experiments, Chemical Engineering Science, 199, 2019. Crossref
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McMasters Robert L., de Monte Filippo, Beck James V., Generalized Solution for Two-Dimensional Transient Heat Conduction Problems With Partial Heating Near a Corner, Journal of Heat Transfer, 141, 7, 2019. Crossref
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McMasters Robert L., de Monte Filippo, D'Alessandro Giampaolo, Beck James V., Verification of ansys and matlab Heat Conduction Results Using an “Intrinsically” Verified Exact Analytical Solution, Journal of Verification, Validation and Uncertainty Quantification, 6, 2, 2021. Crossref
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D’Alessandro Giampaolo, de Monte Filippo, On the Optimum Experiment and Heating Times when Estimating Thermal Properties through the Plane Source Method, Heat Transfer Engineering, 43, 3-5, 2022. Crossref