Estimation for inner surface geometry of furnace wall using inverse process combined with grey prediction model

Chin Ru Su, Cha'o Kuang Chen, Wei Long Liu, Hsin Yi Lai

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)

Abstract

In this work the inner surface geometry of a cylindrical furnace wall is estimated using inverse process method combined with grey prediction model. In estimating process a virtual area extended from the inner surface of furnace wall is used for analysis. The heat conduction equation and the boundary condition are first discretized by finite difference method to form a linear matrix equation; the inverse model is then optimized by linear least-squares error method and the temperatures of virtual boundary are obtained from a few of measured temperatures in furnace wall using the linear inverse model; and finally the temperature distribution of system is got by direct process and the inner surface geometry of furnace wall can be estimated accordingly. The result shows that using inverse process combined with grey prediction model the geometry can be exactly estimated from relatively small number of measured temperatures. Moreover, the effects of measurement error, location, and number of measured points on the estimation for inner surface geometry of furnace wall are discussed in detail.

Original languageEnglish
Pages (from-to)3595-3605
Number of pages11
JournalInternational Journal of Heat and Mass Transfer
Volume52
Issue number15-16
DOIs
Publication statusPublished - 2009 Jul

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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