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Mathematical framework for predicting the thermal behaviour of spectrally selective coatings within an industrial near-infrared furnace

David Worsley Orcid Logo, Nicholas Lavery Orcid Logo, Ian Mabbett Orcid Logo

European Journal of Computational Mechanics, Volume: 25, Issue: 3, Pages: 294 - 308

Swansea University Authors: David Worsley Orcid Logo, Nicholas Lavery Orcid Logo, Ian Mabbett Orcid Logo

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DOI (Published version): 10.1080/17797179.2016.1212628

Abstract

A transient finite difference thermal model based on the heat equations is developed, valid for spectrally selective surface coatings on any substrate material within a near-infrared (NIR) furnace. Spectral radiative heat transfer equivalent to a blackbody provides the heat source. Both radiative an...

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Published in: European Journal of Computational Mechanics
ISSN: 1779-7179
Published: 2016
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URI: https://cronfa.swan.ac.uk/Record/cronfa29270
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spelling 2020-06-25T15:50:08.5527032 v2 29270 2016-07-25 Mathematical framework for predicting the thermal behaviour of spectrally selective coatings within an industrial near-infrared furnace c426b1c1b0123d7057c1b969083cea69 0000-0002-9956-6228 David Worsley David Worsley true false 9f102ff59824fd4f7ce3d40144304395 0000-0003-0953-5936 Nicholas Lavery Nicholas Lavery true false 5363e29b6a34d3e72b5d31140c9b51f0 0000-0003-2959-1716 Ian Mabbett Ian Mabbett true false 2016-07-25 MTLS A transient finite difference thermal model based on the heat equations is developed, valid for spectrally selective surface coatings on any substrate material within a near-infrared (NIR) furnace. Spectral radiative heat transfer equivalent to a blackbody provides the heat source. Both radiative and natural convective cooling are accounted for. A Monte Carlo ray tracing algorithm is formulated and used to determine the radiation view factor. The variance of the algorithm in relation to mesh resolution and sample size is tested against published exact solutions. The radiative flux is divided into absorbed and reflected bands using hemispherical reflectance spectra measured within the 250–15,000 nm wavelength range, enabling the model to predict the thermal build-up of coatings with very different radiative properties. Results show that the transient temperature distribution of spectrally selective surface coatings within an NIR furnace can be modelled, with good agreement observed between experimental and simulated data. The model shows the expected relationship between colour and absorption, with darker coatings displaying greater absorption and heating rates than lighter coatings. Surprisingly, colours which appear similar to one another can display different heating rates, a result of their varied infrared reflectance properties. Journal Article European Journal of Computational Mechanics 25 3 294 308 1779-7179 31 12 2016 2016-12-31 10.1080/17797179.2016.1212628 COLLEGE NANME Materials Science and Engineering COLLEGE CODE MTLS Swansea University 2020-06-25T15:50:08.5527032 2016-07-25T09:06:07.7538060 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering David Worsley 0000-0002-9956-6228 1 Nicholas Lavery 0000-0003-0953-5936 2 Ian Mabbett 0000-0003-2959-1716 3 0029270-09092016131353.pdf brennan2016.pdf 2016-09-09T13:13:53.6300000 Output 789173 application/pdf Accepted Manuscript true 2017-07-22T00:00:00.0000000 false
title Mathematical framework for predicting the thermal behaviour of spectrally selective coatings within an industrial near-infrared furnace
spellingShingle Mathematical framework for predicting the thermal behaviour of spectrally selective coatings within an industrial near-infrared furnace
David Worsley
Nicholas Lavery
Ian Mabbett
title_short Mathematical framework for predicting the thermal behaviour of spectrally selective coatings within an industrial near-infrared furnace
title_full Mathematical framework for predicting the thermal behaviour of spectrally selective coatings within an industrial near-infrared furnace
title_fullStr Mathematical framework for predicting the thermal behaviour of spectrally selective coatings within an industrial near-infrared furnace
title_full_unstemmed Mathematical framework for predicting the thermal behaviour of spectrally selective coatings within an industrial near-infrared furnace
title_sort Mathematical framework for predicting the thermal behaviour of spectrally selective coatings within an industrial near-infrared furnace
author_id_str_mv c426b1c1b0123d7057c1b969083cea69
9f102ff59824fd4f7ce3d40144304395
5363e29b6a34d3e72b5d31140c9b51f0
author_id_fullname_str_mv c426b1c1b0123d7057c1b969083cea69_***_David Worsley
9f102ff59824fd4f7ce3d40144304395_***_Nicholas Lavery
5363e29b6a34d3e72b5d31140c9b51f0_***_Ian Mabbett
author David Worsley
Nicholas Lavery
Ian Mabbett
author2 David Worsley
Nicholas Lavery
Ian Mabbett
format Journal article
container_title European Journal of Computational Mechanics
container_volume 25
container_issue 3
container_start_page 294
publishDate 2016
institution Swansea University
issn 1779-7179
doi_str_mv 10.1080/17797179.2016.1212628
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering
document_store_str 1
active_str 0
description A transient finite difference thermal model based on the heat equations is developed, valid for spectrally selective surface coatings on any substrate material within a near-infrared (NIR) furnace. Spectral radiative heat transfer equivalent to a blackbody provides the heat source. Both radiative and natural convective cooling are accounted for. A Monte Carlo ray tracing algorithm is formulated and used to determine the radiation view factor. The variance of the algorithm in relation to mesh resolution and sample size is tested against published exact solutions. The radiative flux is divided into absorbed and reflected bands using hemispherical reflectance spectra measured within the 250–15,000 nm wavelength range, enabling the model to predict the thermal build-up of coatings with very different radiative properties. Results show that the transient temperature distribution of spectrally selective surface coatings within an NIR furnace can be modelled, with good agreement observed between experimental and simulated data. The model shows the expected relationship between colour and absorption, with darker coatings displaying greater absorption and heating rates than lighter coatings. Surprisingly, colours which appear similar to one another can display different heating rates, a result of their varied infrared reflectance properties.
published_date 2016-12-31T03:35:39Z
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score 10.970609

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