基于声学与光学相联合的温度场重建技术数值模拟研究

Study on Numerical Simulation for Temperature Field Reconstruction Technology Based on the Optical and Acoustical Combined Theory

为了获得较为精确的炉膛燃烧二维温度场,达到实时监测炉膛内火焰温度的目的,分别利用光学法与声学法建立温度场重建模型并推导出较为简便的矩阵反演公式,并结合SVD(奇异值分解)算法对炉膛内二维温度场进行重建。数值研究表明:在测量误差均为0.05和0.1时,光学与声学测量方法分别在高温区域与低温区域有较好的重建效果,据此提出了基于层次分析法的声、光联合温度场重建技术,当采用(声、光)联合技术对炉膛单峰对称、单峰偏置和双峰对称温度场进行二维重建时,反演精度较光学法或声学法均提高0.01左右,表明了此种融合方法的可行性和准确性,对炉膛温度场反演具有重要意义。

With the purpose of getting more accurate two-dimensional temperature field of furnace flame in order to realize the real-time monitoring of the furnace flame temperature,the optical method and acoustical method are used respectively to model the temperature field reconstruction and deduct the simple matrix inversion formula,meanwhile,the singular value decomposition( SVD) algorithm is also adopted for the reconstruction of the two-dimensional temperature field in furnace. The numerical study shows that when the measuring errors are 0. 05 and 0. 1,the optical and acoustical measuring methods can obtain good reconstruction results separately in high-temperature region and in lower-temperature region. Hereby,based on the Analytic Hierarchy Process( AHP),the paper puts forward the optical and acoustical combined temperature field reconstruction technology for the two-dimensional reconstruction of furnace unimodal symmetric,unimodal bias and bimodal symmetric temperature fields. The results show that the inversion accuracy can be increased by about 0. 01 in comparison of optical method or acoustical method,which proves the feasibility and accuracy of this combined method have the great significance on furnace temperature field inversion.