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dc.contributor.authorIglesias, Marco
dc.contributor.authorSawlan, Zaid A
dc.contributor.authorScavino, Marco
dc.contributor.authorTempone, Raul
dc.contributor.authorWood, Christopher
dc.date.accessioned2017-10-03T12:49:39Z
dc.date.available2017-10-03T12:49:39Z
dc.date.issued2017-09-20
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.
dc.identifier.issn0017-9310
dc.identifier.doi10.1016/j.ijheatmasstransfer.2017.09.022
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.
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.
dc.publisherElsevier BV
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S0017931017308396
dc.subjectHeat equation
dc.subjectNuisance boundary parameters marginalization
dc.subjectHeat flux measurements
dc.subjectSolid walls
dc.subjectBayesian inference
dc.subjectThermal resistance
dc.subjectHeat capacity
dc.subjectExperimental design
dc.titleBayesian inferences of the thermal properties of a wall using temperature and heat flux measurements
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalInternational Journal of Heat and Mass Transfer
dc.contributor.institutionSchool of Mathematical Sciences, University of Nottingham, Nottingham, UK
dc.contributor.institutionInstituto de Estadística (IESTA), Universidad de la República, Montevideo, Uruguay
dc.contributor.institutionDepartment of Architecture and Built Environment, University of Nottingham, Nottingham, UK
kaust.personSawlan, Zaid A
kaust.personScavino, Marco
kaust.personTempone, Raul


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