Optimal experiment design for the identification of thermo-physical properties of orthotropic solids

Mzali, Foued; Sassi, L.; Jemni, Abdelmajid; Nasrallah, Sassi Ben; Petit, Daniel

doi:10.1080/10682760310001598652

Cited by 9 publications

(5 citation statements)

References 14 publications

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“…The analysis is shown in Figs. 2,3,4,5,6,7,8,9,10,11,12,13,14. In most cases, a smaller heating area causes more sensible measurements of the radial diffusivities (with respect to the measurability of the temperatures).…”

Section: Principles Of the Measurementmentioning

confidence: 99%

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Design of Experiment for Thermal Diffusivity Measurements of Composite Material with Orthogonal Anisotropy

2008

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This article deals with simultaneous measurements of three mutually orthogonal thermal diffusivities of a material with orthogonal anisotropy using the flash method. Unlike the conventional flash method, the modified measuring technique considers pulse heating over a rectangular area of the front face of a wall-shaped sample of an orthotropic composite material. The thermal diffusivities are calculated analyzing the temperature rise versus time evolutions when measured simultaneously at various positions on the sample surface. This article presents a data reduction method that enables estimates of the thermal diffusivities for the three principal axes. The theory takes into account heat losses from the front and rear faces. The results of an experimental design analysis are discussed.

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Section: Principles Of the Measurementmentioning

confidence: 99%

“…Another method uses adjustment of the position of the detector in the data reduction procedure [9]. An optimal design of the experiment has been performed as well [10].…”

mentioning

confidence: 99%

Design of Experiment for Thermal Diffusivity Measurements of Composite Material with Orthogonal Anisotropy

2008

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“…Another possible criterion is based on the minimization of the condition number related to the X T X matrix (this number is defined as the ratio between its largest and smallest eigenvalue) [145][146][147]: the closer this number is to one, the better-posed is the inverse problem. Even if it is so, no assurance exists that the variances of the parameters are reduced [148].…”

Section: Optimum Experiments Designmentioning

confidence: 99%

“…Mzali et al showed that the best estimate of the thermal properties of orthotropic solids can be obtained through a compromise between a D-optimality criterion based on the maximization of the X T X determinant and the minimization of its condition number [146]. This compromise is obtained with the so-called E-optimality criterion, which uses the maximization of the minimum eigenvalue of the X T X matrix.…”

Section: Optimum Experiments Designmentioning

confidence: 99%

Modeling and Measuring Thermodynamic and Transport Thermophysical Properties: A Review

et al. 2022

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The present review describes the up-to-date state of the evaluation of thermophysical properties (TP) of materials with three different procedures: modeling (also including inverse problems), measurements and analytical methods (e.g., through computing from other properties). Methods to measure specific heat and thermal conductivity are described in detail. Thermal diffusivity and thermal effusivity are a combination of the previously cited properties, but also for these properties, specific measurement and calculation methods are reported. Experiments can be carried out in steady-state, transient, and pulse regimes. For modeling, special focus is given to the inverse methods and parameter estimation procedures, because through them it is possible to evaluate the thermophysical property, assuring the best practices and supplying the measurement uncertainty. It is also cited when the most common data processing algorithms are used, e.g., the Gauss–Newton and Levenberg–Marquardt least squares minimization algorithms, and how it is possible to retrieve values of TP from other data. Optimization criteria for designing the experiments are also mentioned.

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“…For this estimation procedure using the described above GA, it is of great importance to determine the confidence intervals, the standard deviations and relative uncertainty of the estimated parameters. In this study the parameters of interest are estimated with 99% confidence level [31]. This interval is given as follow:…”

Section: Parameters' Estimation With Simulated Measurementmentioning

confidence: 99%

Estimation of radiative and conductive properties of a semitransparent medium using genetic algorithms

Braiek

Adili²,

Albouchi

et al. 2016

Meas. Sci. Technol.

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The aim of this work is to simultaneously identify the conductive and radiative parameters of a semitransparent sample using a photothermal method associated with an inverse problem. The identification of the conductive and radiative proprieties is performed by the minimization of an objective function that represents the errors between calculated temperature and measured signal. The calculated temperature is obtained from a theoretical model built with the thermal quadrupole formalism. Measurement is obtained in the rear face of the sample whose front face is excited by a crenel of heat flux. For identification procedure, a genetic algorithm is developed and used. The genetic algorithm is a useful tool in the simultaneous estimation of correlated or nearly correlated parameters, which can be a limiting factor for the gradient-based methods. The results of the identification procedure show the efficiency and the stability of the genetic algorithm to simultaneously estimate the conductive and radiative properties of clear glass.

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Optimal experiment design for the identification of thermo-physical properties of orthotropic solids

Cited by 9 publications

References 14 publications

Design of Experiment for Thermal Diffusivity Measurements of Composite Material with Orthogonal Anisotropy

Design of Experiment for Thermal Diffusivity Measurements of Composite Material with Orthogonal Anisotropy

Modeling and Measuring Thermodynamic and Transport Thermophysical Properties: A Review

Estimation of radiative and conductive properties of a semitransparent medium using genetic algorithms

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