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Annals of the Assembly for International Heat Transfer Conference 13

ISBN 1-56700-225-0 / CD 1-56700-226-9

Volumes per year:

various

Year 2006

DOI: 10.1615/IHTC13.p5

UNCERTAINTY QUANTIFICATION IN HEAT AND MASS TRANSFER

J. L. Sereno
Instituto Superior Técnico, Lisboa, Portugal; Mech. Engn. Dept. /LASEF, Av. Rodovisco Pais, Lisbon-Portugal

J. M. C. Pereira
Instituto Superior Técnico / Technical University of Lisbon, Department of Mechanical Engineering / LASEF, Av. Rovisco Pais, 1049-001 Lisbon, Portugal

J. C. F. Pereira
Instituto Superior Técnico / Technical University of Lisbon, Department of Mechanical Engineering / LASEF, Av. Rovisco Pais, 1049-001 Lisbon, Portugal

ABSTRACT

Numerical calculations of a one-dimensional porous foam burner subject to random variables are reported. The heat transfer coefficient was assumed to be a random variable and the stochastic process was represented using the polynomial chaos expansion. Two types of approximations are discussed to model the non-linear Arrhenius reaction term in the one-dimensional scalar transport equations. The results show the potential of the polynomial chaos expansions for heat engineering applications. The used methodology allowed to quantify the uncertainty due to the random heat transfer coefficient and to identify the locations of higher rms temperatures.