Online estimation of multicomponent heat flux using a system identification technique

Masoud Khorrami, Forooza Samadi*, Farshad Kowsary, Morteza Mohammadzaheri

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


In this work system identification techniques are used to map the two-dimensional heat flux into the temperatures through a linear model supported by theoretical and numerical results. The basis of this analysis is a discrete version of the Burggraf Method saying a single component heat flux is a linear combination of the temperatures around the time of its occurrence. Taking the same approach, a linear model (i.e. a linear artificial neural network (ANN)) is employed to estimate a multicomponent heat flux as a linear function of the temperatures. A known heat flux is imposed to the direct model, then the history of heat flux-temperature data are fit to the linear mathematical model (i.e. a linear ANN) using system identification techniques. The achieved model estimates the heat flux based on a series of past and future temperatures and the estimated heat flux components are in a good agreement with the exact ones. Finally, the effect of some important factors on the results is investigated. The proposed solution to inverse heat conduction problems does not need thermophysical and geometrical parameters of the system and is robust against noises. It merely needs some series of heat flux-temperature data from solution of a reliable direct numerical model or experiment.

Original languageEnglish
Pages (from-to)127-134
Number of pages8
JournalInternational Communications in Heat and Mass Transfer
Publication statusPublished - May 2013
Externally publishedYes


  • Inverse heat conduction
  • Modelling
  • Multicomponent heat flux
  • Neural network
  • Online estimation

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • General Chemical Engineering
  • Condensed Matter Physics


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