Open AccessInverse convection problem of simultaneous estimation of two boundary heat fluxes in parallel plate channels
Author(s) -
Marcelo J. Colaço,
Helcio R. B. Orlande
Publication year - 2001
Publication title -
revista brasileira de ciências mecânicas
Language(s) - English
Resource type - Journals
ISSN - 0100-7386
DOI - 10.1590/s0100-73862001000200007
Subject(s) - classification of discontinuities , inverse problem , conjugate gradient method , laminar flow , heat flux , boundary (topology) , inverse , mechanics , convection , flow (mathematics) , function (biology) , mathematics , mathematical analysis , heat transfer , physics , mathematical optimization , geometry , evolutionary biology , biology
This paper deals with the use of the conjugate gradient method of function estimation for the simultaneous identification of two unknown boundary heat fluxes in parallel plate channels. The fluid flow is assumed to be laminar and hydrodynamically developed. Temperature measurements taken inside the channel are used in the inverse analysis. The accuracy of the present solution approach is examined by using simulated measurements containing random errors, for strict cases involving functional forms with discontinuities and sharp-corners for the unknown functions. Three different types of inverse problems are addressed in the paper, involving the estimation of: (i) Spatially dependent heat fluxes; (ii) Time-dependent heat fluxes; and (iii) Time and spatially dependent heat fluxes