Inverse determination of building heating profiles from the knowledge of measurements within the turbulent slot-vented enclosure

Di Liu, Fu Yun Zhao, Han Qing Wang, Ernst Rank, Guang Xiao Kou

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

Slot ventilated enclosure flows have been simulated, respectively in displacement ventilation and mixed ventilation covering from the forced convection dominated flow to the natural convection dominated flow. Direct convection simulation together with the turbulent streamlines and turbulent heatlines demonstrate that the enclosure flow pattern, indoor thermal level and heat transfer potential will depend on the interactions of external forced flow and thermal buoyancy driven flows, i.e.; Reynolds number and Grashof number. In subsequent inverse convection modeling, the inverse determination of enclosure wall heat flux profiles was conducted by the use of adjoint methodology, in which the direct, sensitivity and adjoint problems are formulated and solved by finite volume method. The effects of the supplying air flow rate, thermal source strength, ventilation mode, flux functional forms, and the measurement errors on the accuracy of inverse turbulent convection estimation have been investigated. The inverse solutions of turbulent convections are of low level accuracy as the flow becomes thermal-driven turbulent flows, and they deteriorate as the noise levels increase. This work is of fundamental importance for the room air flow design and measurements involving the turbulent thermal convections.

Original languageEnglish
Pages (from-to)4597-4612
Number of pages16
JournalInternational Journal of Heat and Mass Transfer
Volume55
Issue number17-18
DOIs
StatePublished - Aug 2012

Keywords

  • Adjoint method
  • Enclosure flows
  • Inverse turbulent mixed convection
  • Mean turbulent heatlines

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