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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/38027
Title: 
Nonlinear parameter estimation in laminar forced convection within a circular sector tube
Author(s): 
Institution: 
  • Universidade Estadual Paulista (UNESP)
  • N Carolina State Univ
ISSN: 
1068-2767
Abstract: 
In this article we examine an inverse heat convection problem of estimating unknown parameters of a parameterized variable boundary heat flux. The physical problem is a hydrodynamically developed, thermally developing, three-dimensional steady state laminar flow of a Newtonian fluid inside a circular sector duct, insulated in the flat walls and subject to unknown wall heat flux at the curved wall. Results are presented for polynomial and sinusoidal trial functions, and the unknown parameters as well as surface heat fluxes are determined. Depending on the nature of the flow, on the position of experimental points the inverse problem sometimes could not be solved. Therefore, an identification condition is defined to specify a condition under which the inverse problem can be solved. Once the parameters have been computed it is possible to obtain the statistical significance of the inverse problem solution. Therefore, approximate confidence bounds based on standard statistical linear procedure, for the estimated parameters, are analyzed and presented.
Issue Date: 
1-Dec-2002
Citation: 
Inverse Problems In Engineering. Abingdon: Taylor & Francis Ltd, v. 10, n. 6, p. 503-522, 2002.
Time Duration: 
503-522
Publisher: 
Taylor & Francis Ltd
Keywords: 
  • boundary heat flux
  • Newtonian fluid
  • nonlinear parameter
Source: 
http://dx.doi.org/10.1080/106827603100015659
URI: 
Access Rights: 
Acesso restrito
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/38027
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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