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 func...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.展开更多
基金This research is supported by the National Science Foundation of China(No.11674093 and No.11474091)the Fundamental Research Funds for the Central Universities of China(No.2018 MS131)the State Key Laboratory of Acoustics,Institute of Acoustics,Chinese Academy of Science,China(SKLA201808).
文摘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.
