Simultaneous estimation of temperature and emissivity of metals around their melting points by deterministic and Bayesian techniques
•The temperature and the emissivity of niobium and steel are estimated around their melting points by multispectral pyrometry.•The experimental data are radiative fluxes collected by a six-wavelength pyrometer and by a commercial bichromatic pyrometer.•The apparatus is dedicated to the characterizat...
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| Vydané v: | International journal of heat and mass transfer Ročník 183; s. 122077 |
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| Hlavní autori: | , , , , , , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Elsevier Ltd
01.02.2022
Elsevier |
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| ISSN: | 0017-9310 |
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| Abstract | •The temperature and the emissivity of niobium and steel are estimated around their melting points by multispectral pyrometry.•The experimental data are radiative fluxes collected by a six-wavelength pyrometer and by a commercial bichromatic pyrometer.•The apparatus is dedicated to the characterization of the physical properties of millimeter-size metal samples at high temperatures, combining aerodynamic levitation and laser heating.•Different techniques are used are based on deterministic (ordinary least squares) and Bayesian approaches.
This article presents the temperature and emissivity estimation of metals around their melting points using different techniques, which are based on deterministic (ordinary least squares) and Bayesian approaches. Linear and non-linear models are examined. The experimental data consist of radiative fluxes at six wavelengths, collected by a pyrometer. The apparatus is dedicated to the characterization of the physical properties of millimeter-sized metal samples at high temperatures, combining aerodynamic levitation and laser heating. Tests are performed on two metals: niobium with well-known temperature and steel. |
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| AbstractList | •The temperature and the emissivity of niobium and steel are estimated around their melting points by multispectral pyrometry.•The experimental data are radiative fluxes collected by a six-wavelength pyrometer and by a commercial bichromatic pyrometer.•The apparatus is dedicated to the characterization of the physical properties of millimeter-size metal samples at high temperatures, combining aerodynamic levitation and laser heating.•Different techniques are used are based on deterministic (ordinary least squares) and Bayesian approaches.
This article presents the temperature and emissivity estimation of metals around their melting points using different techniques, which are based on deterministic (ordinary least squares) and Bayesian approaches. Linear and non-linear models are examined. The experimental data consist of radiative fluxes at six wavelengths, collected by a pyrometer. The apparatus is dedicated to the characterization of the physical properties of millimeter-sized metal samples at high temperatures, combining aerodynamic levitation and laser heating. Tests are performed on two metals: niobium with well-known temperature and steel. This article presents the temperature and emissivity estimation of metals around their melting points using different techniques, which are based on deterministic (ordinary least squares) and Bayesian approaches. Linear and non-linear models are examined. The experimental data consist of radiative fluxes at six wavelengths, collected by a pyrometer. The apparatus is dedicated to the characterization of the physical properties of millimeter-sized metal samples at high temperatures, combining aerodynamic levitation and laser heating. Tests are performed on two metals: niobium with well-known temperature and steel. Cet article présente l'estimation de la température et de l'émissivité des métaux autour de leur point de fusion à l'aide de différentes techniques, basées sur des approches déterministes (moins carrés ordinaires) et bayésienne. Des modèles linéaires et non linéaires sont examinés. Les données expérimentales consistent en des flux radiatifs à six longueurs d'onde, collectés par un pyromètre. L'appareil est dédié à la caractérisation des propriétés physiques d'échantillons métalliques de taille millimétrique à haute température, combinant lévitation aérodynamique et chauffage laser. Des tests sont effectués sur deux métaux : le niobium, à température de fusion bien connue, et l'acier. |
| ArticleNumber | 122077 |
| Author | Masson, Philippe Le Lamien, Bernard Maux, Dylan Le Orlande, Helcio R.B. Rodiet, Christophe Courtois, Mickaël Krapez, Jean-Claude Pierre, Thomas |
| Author_xml | – sequence: 1 givenname: Thomas surname: Pierre fullname: Pierre, Thomas email: thomas.pierre@univ-ubs.fr organization: Univ. Bretagne Sud, UMR CNRS 6027, IRDL, F-56100 Lorient, France – sequence: 2 givenname: Jean-Claude surname: Krapez fullname: Krapez, Jean-Claude organization: ONERA - The French Aerospace Lab - Centre de Salon de Provence, France – sequence: 3 givenname: Helcio R.B. surname: Orlande fullname: Orlande, Helcio R.B. organization: Federal University of Rio de Janeiro, Rio de Janeiro, Brazil – sequence: 4 givenname: Christophe surname: Rodiet fullname: Rodiet, Christophe organization: Université de Reims Champagne Ardenne, ITheMM EA 7548, 51097 Reims, France – sequence: 5 givenname: Dylan Le surname: Maux fullname: Maux, Dylan Le organization: Univ. Bretagne Sud, UMR CNRS 6027, IRDL, F-56100 Lorient, France – sequence: 6 givenname: Mickaël surname: Courtois fullname: Courtois, Mickaël organization: Univ. Bretagne Sud, UMR CNRS 6027, IRDL, F-56100 Lorient, France – sequence: 7 givenname: Philippe Le surname: Masson fullname: Masson, Philippe Le organization: Univ. Bretagne Sud, UMR CNRS 6027, IRDL, F-56100 Lorient, France – sequence: 8 givenname: Bernard surname: Lamien fullname: Lamien, Bernard organization: École Polytechnique de Ouagadougou (EPO), 18 BP 234, Ouagadougou, Burkina Faso |
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| Cites_doi | 10.1063/1.5089620 10.1063/1.2826945 10.1080/00401706.2013.869262 10.1023/A:1012861508356 10.1016/j.ijheatmasstransfer.2019.06.054 10.6028/jres.074A.010 10.1088/0026-1394/17/3/006 10.1016/1350-4495(95)00040-2 10.1080/17686733.2013.812816 10.3390/s7060905 |
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| Keywords | multispectral pyrometry Temperature emissivity estimation ordinary least squares liquid metals Bayesian inference Multispectral pyrometry Métaux liquides Méthode des moindres carrés ordinaire Ordinary least squares Estimation Pyrométrie multispectrale Liquid metals Inférence bayésienne Émissivité thermique |
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| Title | Simultaneous estimation of temperature and emissivity of metals around their melting points by deterministic and Bayesian techniques |
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