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  4. Heat Flux Estimation using Simplified Models by means of Deviation Time
 
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2020
Journal Article
Title

Heat Flux Estimation using Simplified Models by means of Deviation Time

Abstract
Most of the thermal problems in engineering involve transient three-dimensional models of complex numerical or analytical solution. In some cases, the three-dimensional problems can be reduced. The use of simplified models to the inverse problem's solution has some advantages, such as: reduction in computational time and disregard some boundary conditions (convection heat transfer coefficient or prescribed temperature). To the procedure presentation, some heat fluxes were simulated in one-dimensional finite models. The Transfer Function Based on Green's Functions (TFBGF) method was used as inverse problem solution tool and excellent estimates were realized using the semi-infinite model. In a controlled laboratory experimental test, this procedure of model reduction was also applied. The heat flux was successfully estimated by using two different models: an 1D semi-infinite and an 1D finite. These simplifications are only valid for times shorter than deviation time.
Author(s)
Siva Ignacio, Luís Henrique da
Goiano Federal Institute, Rod. Sul Goiana, RioVerde, Goiás, Brazil
Malheiros, Fernando Costa
State University of Minas Gerais, Ituiutaba, Brazil
Figueiredo, Alisson Augusto Azevedo
Department of Mechanical Engineering, Federal University of Ouro Preto, Ouro Preto, Brazil
Duarte, Carlos Antonio Ribeiro
Department of Engineering, Federal University of Goiás - Regional Catalão, Dr. Lamartine Pinto de Avelar, Catalão, Goiás, Brazil
Fernandes, Henrique Coelho
Fraunhofer-Institut für Zerstörungsfreie Prüfverfahren IZFP  
Journal
International communications in heat and mass transfer  
DOI
10.1016/j.icheatmasstransfer.2020.104592
Language
English
Fraunhofer-Institut für Zerstörungsfreie Prüfverfahren IZFP  
Keyword(s)
  • model reduction

  • deviation time

  • inverse heat conduction problem

  • heat flux estimation

  • analytical solution

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