Table of Content

Open Access

ARTICLE

Research on Temperature Field Reconstruction Based on RBF Approximation with Polynomial Reproduction Considering the Refraction Effect of Sound Wave Paths

Qian Kong1, Genshan Jiang1, 2, *, Yuechao Liu1
1 North China Electric Power University, Baoding, 071003, China
2 State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing, 100190, China
The author can be reached at: gsjiang@ncepu.edu.cn.

Sound & Vibration 2018, 52(4), 9-20. https://doi.org/10.32604/sv.2018.03749

Abstract

The temperature field distribution directly reflects the combustion condition in a furnace.In this paper, acoustic thermometry to reconstruct temperature distribution is investigated. A method based on radial basis function approximation with polynomial reproduction (RBF-PR) is proposed in order to improve the accuracy and stability of the method based on RBF approximation. In addition, the refraction effect of sound wave paths is considered in the process of reconstruction. The curved lines with refraction effect are numerically calculated by solving differential equations, which show that sonic waves curve towards the zones of higher temperature. The reconstructed performance is validated via numerical simulation using four temperature distribution models. Results and analysis show that the proposed method has much greater accuracy than the method based on RBF approximation, and when considering the effect of refraction, our method can reconstruct more excellent reconstruction performance than others, which do not take into account the refraction effect of sound wave paths.

Keywords

Acoustic thermometry; RBF, RBF with polynomial reproduction; refraction effect; sound wave paths.

Cite This Article

Kong, Q., Jiang, G., Liu, Y. (2018). Research on Temperature Field Reconstruction Based on RBF Approximation with Polynomial Reproduction Considering the Refraction Effect of Sound Wave Paths. Sound & Vibration, 52(4), 9–20.

Citations




This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 1382

    View

  • 873

    Download

  • 1

    Like

Share Link

WeChat scan