航空发动机尾喷温度场的背景纹影光学中心校正

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关键词：背景纹影法；航空发动机尾喷温度场；光学中心校正；几何光学模型；Abel逆变换

中图分类号：V231.1;O439 文献标识码：Adoi：10.37188/0PE.20263404.0525 CSTR：32169.14.OPE.20263404.0525

Optical center calibration for aero-engine exhaust temperature field measurement using background-oriented schlieren

QINYang*，WU Jun

（ ， .， 3Oo3Oo，） * Corresponding author，E-mail： 20240l2119@cauc.edu.cn

Abstract： To address the projection fset and axisymmetric temperature-field reconstruction distortion caused by camera optical-axis misalignment in background-oriented schlieren （BOS） technology，this paper proposed an optical center calibration method based on geometric optical modeling. Conventional methods assumed strict alignment between the camera optical axis and the flow axis，neglecting unavoidable angular deviations in practical installation. In this work，an accurate geometric model incorporating optical-axis tilt was established，from which an analytical mapping between actual projection coordinates and ideal sensor coordinates was derived. This enabled precise deflection-angle calculation under misaligned conditions while maintaining a single-camera axisymmetric measurement architecture.By integrating the Abel inverse transform and the Gladstone-Dale relation，a complete reconstruction chain from deflection angles to refractive-index fields and finally to temperature fields was achieved.Experimental validation was conducted within a misalignment range ±6∘ . The results show that under a +6∘ tilt condition，the average temperature deviation is reduced from 18.26K using the conventional method to -0.94

K with the proposed approach，corresponding to an improvement approximately one order magnitude in accuracy. The method significantly enhances the measurement reliability BOS under non-ideal installation conditions and provides an effective calibration tool for high-precision，robust optical diagnosis aero-engine exhaust temperature fields.

Key Words： background-oriented schlieren；aero-engine exhaust temperature field；optical center calibration；geometric optical model；Abel inverse transform

1引言

航空发动机尾喷温度场是表征其燃烧状态与推进性能的关键参数，其精确测量对于发动机状态评估、性能优化及安全控制具有重要意义[1-2]。（剩余15702字）