Bayesian inferences of the thermal properties of a wall using temperature and heat flux measurements

Handle URI:
http://hdl.handle.net/10754/625776
Title:
Bayesian inferences of the thermal properties of a wall using temperature and heat flux measurements
Authors:
Iglesias, Marco; Sawlan, Zaid A; Scavino, Marco ( 0000-0001-5114-853X ) ; Tempone, Raul ( 0000-0003-1967-4446 ) ; Wood, Christopher ( 0000-0002-6182-7779 )
Abstract:
The assessment of the thermal properties of walls is essential for accurate building energy simulations that are needed to make effective energy-saving policies. These properties are usually investigated through in situ measurements of temperature and heat flux over extended time periods. The one-dimensional heat equation with unknown Dirichlet boundary conditions is used to model the heat transfer process through the wall. In Ruggeri et al. (2017), it was assessed the uncertainty about the thermal diffusivity parameter using different synthetic data sets. In this work, we adapt this methodology to an experimental study conducted in an environmental chamber, with measurements recorded every minute from temperature probes and heat flux sensors placed on both sides of a solid brick wall over a five-day period. The observed time series are locally averaged, according to a smoothing procedure determined by the solution of a criterion function optimization problem, to fit the required set of noise model assumptions. Therefore, after preprocessing, we can reasonably assume that the temperature and the heat flux measurements have stationary Gaussian noise and we can avoid working with full covariance matrices. The results show that our technique reduces the bias error of the estimated parameters when compared to other approaches. Finally, we compute the information gain under two experimental setups to recommend how the user can efficiently determine the duration of the measurement campaign and the range of the external temperature oscillation.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Iglesias M, Sawlan Z, Scavino M, Tempone R, Wood C (2018) Bayesian inferences of the thermal properties of a wall using temperature and heat flux measurements. International Journal of Heat and Mass Transfer 116: 417–431. Available: http://dx.doi.org/10.1016/j.ijheatmasstransfer.2017.09.022.
Publisher:
Elsevier BV
Journal:
International Journal of Heat and Mass Transfer
Issue Date:
20-Sep-2017
DOI:
10.1016/j.ijheatmasstransfer.2017.09.022
Type:
Article
ISSN:
0017-9310
Sponsors:
Part of this work was carried out while M. Iglesias and M. Scavino were Visiting Professors at KAUST. Z. Sawlan, M. Scavino and R. Tempone are members of the KAUST SRI Center for Uncertainty Quantification in Computational Science and Engineering. R. Tempone received support from the KAUST CRG3 Award Ref: 2281.
Additional Links:
http://www.sciencedirect.com/science/article/pii/S0017931017308396
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorIglesias, Marcoen
dc.contributor.authorSawlan, Zaid Aen
dc.contributor.authorScavino, Marcoen
dc.contributor.authorTempone, Raulen
dc.contributor.authorWood, Christopheren
dc.date.accessioned2017-10-03T12:49:39Z-
dc.date.available2017-10-03T12:49:39Z-
dc.date.issued2017-09-20en
dc.identifier.citationIglesias M, Sawlan Z, Scavino M, Tempone R, Wood C (2018) Bayesian inferences of the thermal properties of a wall using temperature and heat flux measurements. International Journal of Heat and Mass Transfer 116: 417–431. Available: http://dx.doi.org/10.1016/j.ijheatmasstransfer.2017.09.022.en
dc.identifier.issn0017-9310en
dc.identifier.doi10.1016/j.ijheatmasstransfer.2017.09.022en
dc.identifier.urihttp://hdl.handle.net/10754/625776-
dc.description.abstractThe assessment of the thermal properties of walls is essential for accurate building energy simulations that are needed to make effective energy-saving policies. These properties are usually investigated through in situ measurements of temperature and heat flux over extended time periods. The one-dimensional heat equation with unknown Dirichlet boundary conditions is used to model the heat transfer process through the wall. In Ruggeri et al. (2017), it was assessed the uncertainty about the thermal diffusivity parameter using different synthetic data sets. In this work, we adapt this methodology to an experimental study conducted in an environmental chamber, with measurements recorded every minute from temperature probes and heat flux sensors placed on both sides of a solid brick wall over a five-day period. The observed time series are locally averaged, according to a smoothing procedure determined by the solution of a criterion function optimization problem, to fit the required set of noise model assumptions. Therefore, after preprocessing, we can reasonably assume that the temperature and the heat flux measurements have stationary Gaussian noise and we can avoid working with full covariance matrices. The results show that our technique reduces the bias error of the estimated parameters when compared to other approaches. Finally, we compute the information gain under two experimental setups to recommend how the user can efficiently determine the duration of the measurement campaign and the range of the external temperature oscillation.en
dc.description.sponsorshipPart of this work was carried out while M. Iglesias and M. Scavino were Visiting Professors at KAUST. Z. Sawlan, M. Scavino and R. Tempone are members of the KAUST SRI Center for Uncertainty Quantification in Computational Science and Engineering. R. Tempone received support from the KAUST CRG3 Award Ref: 2281.en
dc.publisherElsevier BVen
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S0017931017308396en
dc.subjectHeat equationen
dc.subjectNuisance boundary parameters marginalizationen
dc.subjectHeat flux measurementsen
dc.subjectSolid wallsen
dc.subjectBayesian inferenceen
dc.subjectThermal resistanceen
dc.subjectHeat capacityen
dc.subjectExperimental designen
dc.titleBayesian inferences of the thermal properties of a wall using temperature and heat flux measurementsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalInternational Journal of Heat and Mass Transferen
dc.contributor.institutionSchool of Mathematical Sciences, University of Nottingham, Nottingham, UKen
dc.contributor.institutionInstituto de Estadística (IESTA), Universidad de la República, Montevideo, Uruguayen
dc.contributor.institutionDepartment of Architecture and Built Environment, University of Nottingham, Nottingham, UKen
kaust.authorSawlan, Zaid Aen
kaust.authorScavino, Marcoen
kaust.authorTempone, Raulen
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