Multi input dynamical modeling of heat flow with uncertain diffusivity parameter
Date
2003Source Title
Mathematical and Computer Modelling of Dynamical Systems
Print ISSN
1387-3954
Publisher
Taylor & Francis
Volume
9
Issue
4
Pages
437 - 450
Language
English
Type
ArticleItem Usage Stats
227
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views
173
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Abstract
This paper focuses on the multi-input dynamical modeling of one-dimensional heat conduction process with uncertainty on thermal diffusivity parameter. Singular value decomposition is used to extract the most significant modes. The results of the spatiotemporal decomposition have been used in cooperation with Galerkin projection to obtain the set of ordinary differential equations, the solution of which synthesizes the temporal variables. The spatial properties have been generalized through a series of test cases and a low order model has been obtained. Since the value of the thermal diffusivity parameter is not known perfectly, the obtained model contains uncertainty. The paper describes how the uncertainty is modeled and how the boundary conditions are separated from the remaining terms of the dynamical equations. The results have been compared with those obtained through analytic solution. © Taylor and Francis Ltd.
Keywords
Heat conductionInfinite dimensional system
Model reduction
Multi-input modeling
Singular value decomposition
Conduction process
Dynamical equation
Galerkin projections
Infinite-dimensional system
Model reduction
Multiinput
One-dimensional heat
Spatio-temporal decomposition
Heat conduction
Ordinary differential equations
Singular value decomposition
Uncertainty analysis
Boundary conditions
Fluid flow
Heat conduction
Heat transfer
Mathematical modeling
Permalink
http://hdl.handle.net/11693/24383Published Version (Please cite this version)
http://dx.doi.org/10.1076/mcmd.9.4.437.27902Collections
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