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Type: Artigo
Title: Inverse analysis of forced convection in micro-channels with slip flow via integral transforms and Bayesian inference
Author(s)/Inventor(s): Naveira-Cotta, Carolina Palma
Cotta, Renato Machado
Orlande, Helcio Rangel Barreto
Abstract: Indisponível.
Abstract: The present work addresses the direct and inverse problems for convective heat transfer with incompressible laminar gas flow in micro-channels, within the range of validity of the slip-flow regime. The direct problem analysis combines the classical integral transform method and the generalized integral transform technique (GITT), by analytically solving the two-dimensional steady-state convection problem and finding a hybrid numerical-analytical solution for the required eigenvalue problem. The inverse problem analysis makes use of the accuracy and robustness of the direct problem solution and focus on the simultaneous identification of the momentum and thermal accommodation coefficients, related to gas flow and heat transfer within micro-channels, besides the usually unknown boundary condition parameters, here represented by the external Biot number. The inverse analysis is based on the availability solely of temperature measurements at the channel external wall, along its length, as obtained for instance via infrared camera thermography. A Bayesian inference approach is adopted in the solution of the identification problem based on the Monte Carlo Markov Chain method (MCMC) and the Metropolis-Hastings sampling algorithm. A typical example of slip flow in parallel-plates micro-channel is selected to illustrate both the direct and inverse problems solution approaches.
Keywords: Micro-channel
Micro-scale heat transfer
Inverse problem
Integral transforms
Bayesian inference
Accommodation coefficients
Production unit: Núcleo Interdisciplinar de Dinâmica dos Fluidos
Publisher: Elsevier
In: International Journal of Thermal Sciences
Volume: 49
Issue: 6
Issue Date: 6-Feb-2010
DOI: 10.1016/j.ijthermalsci.2009.12.009
Publisher country: Brasil
Language: eng
Right access: Acesso Aberto
ISSN: 1290-0729
Appears in Collections:Engenharias

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