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International Journal for Uncertainty Quantification

Impact factor: 1.000

ISSN Print: 2152-5080
ISSN Online: 2152-5099

Open Access

International Journal for Uncertainty Quantification

DOI: 10.1615/Int.J.UncertaintyQuantification.2012003582
pages 239-258

STATE ESTIMATION PROBLEMS IN HEAT TRANSFER

Helcio R. B. Orlande
North Carolina State University; Department of Mechanical Engineering, POLI/COPPE, Federal University of Rio de Janeiro, UFRJ Cid. Universitaria, Cx. Postal: 68503 Rio de Janeiro, RJ, 21941-972 Brazil
Marcelo Jose Colaco
Department of Mechanical Engineering, Federal University of Rio de Janeiro, Cx. Postal 68503, Rio de Janeiro, RJ, 21941-972, Brazil
George S. Dulikravich
Department of Mechanical and Materials Eng., MAIDROC Laboratory, Florida International University, 10555 West Flagler Street, Miami, FL 33174, USA
Flavio Vianna
Department of Subsea Technology, Petrobras Research and Development Center−CENPES, Av. Horacio Macedo, 950, Cidade Universitaria, Ilha do Fundao, 21941-915, Rio de Janeiro, RJ, Brazil
Wellington da Silva
Department of Mechanical Engineering, Politecnica/COPPE, Federal University of Rio de Janeiro, UFRJ, Rio de Janeiro, RJ, 21941-972, Brazil; Universite de Toulouse, Mines Albi, CNRS, Centre RAPSODEE, Campus Jarlard, F-81013 Albi cedex 09, France
Henrique Fonseca
Department of Mechanical Engineering, Politecnica/COPPE, Federal University of Rio de Janeiro, UFRJ, Cid. Universitaria, Cx. Postal: 68503, Rio de Janeiro, RJ, 21941-972, Brazil
Olivier Fudym
Universite de Toulouse, Mines Albi, CNRS, Centre RAPSODEE, Campus Jarlard, F-81013 Albi cedex 09, France

ABSTRACT

The objective of this paper is to introduce applications of Bayesian filters to state estimation problems in heat transfer. A brief description of state estimation problems within the Bayesian framework is presented. The Kalman filter, as well as the following algorithms of the particle filter: sampling importance resampling and auxiliary sampling importance resampling, are discussed and applied to practical problems in heat transfer.