INTRINSIC VERIFICATION OF AN EXACT ANALYTICAL SOLUTION IN TRANSIENT HEAT CONDUCTION

Volumen 10, Ausgabe 3, 2018, pp. 251-272

DOI: 10.1615/ComputThermalScien.2017021201

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Giampaolo D'Alessandro
Department of Industrial and Information Engineering and Economics, University of L'Aquila, L'Aquila, Italy

Filippo de Monte
Department of Industrial and Information Engineering and Economics, University of L'Aquila, L'Aquila, Italy

ABSTRAKT

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.

SCHLÜSSELWÖRTER: intrinsic verification, computational analytical solution, deviation time, penetration time, sixth kind boundary condition

REFERENZIERT VON

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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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