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航空发动机尾喷温度场的背景纹影光学中心校正OA

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

中文摘要英文摘要

针对背景纹影技术中因相机光轴偏转导致的投影偏移与轴对称温度场重建失真问题,本文提出一种基于几何光学建模的光学中心校正方法.传统方法假定相机光轴与流场轴线严格对准,未考虑实际装调中不可避免的角度偏差.本研究通过建立存在光轴偏转的精确几何模型,推导了实际投影坐标与理想传感器坐标之间的解析映射关系,在单相机轴对称测量架构下实现了含偏转误差的偏折角准确解算.结合Abel逆变换与Gladstone-Dale关系,完成了从偏折角到折射率场再到温度场的完整重构.实验系统在±6°偏转范围内进行了验证,结果表明:在±6°工况下,重建温度场的平均偏差由传统方法的18.26 K降至-0.94 K,精度提升约一个数量级.该方法显著提高了背景纹影技术在非理想装调条件下的测量可靠性,为航空发动机尾喷温度场的高精度、强鲁棒性光学诊断提供了有效的校正手段.

To address the projection offset and axisymmetric temperature-field reconstruction distortion caused by camera optical-axis misalignment in background-oriented schlieren(BOS)technology,this pa-per 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 unavoid-able 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 mis-aligned conditions while maintaining a single-camera axisymmetric measurement architecture.By integrat-ing the Abel inverse transform and the Gladstone-Dale relation,a complete reconstruction chain from de-flection angles to refractive-index fields and finally to temperature fields was achieved.Experimental vali-dation was conducted within a misalignment range of±6°.The results show that under a+6° tilt condi-tion,the average temperature deviation is reduced from 18.26 K using the conventional method to-0.94 K with the proposed approach,corresponding to an improvement of approximately one order of magnitude in accuracy.The method significantly enhances the measurement reliability of BOS under non-ideal instal-lation conditions and provides an effective calibration tool for high-precision,robust optical diagnosis of aero-engine exhaust temperature fields.

秦炀;吴军

中国民航大学 航空工程学院,天津 300300中国民航大学 航空工程学院,天津 300300

航空航天

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

background-oriented schlierenaero-engine exhaust temperature fieldoptical center calibra-tiongeometric optical modelAbel inverse transform

《光学精密工程》 2026 (4)

525-535,11

国家自然科学基金(No.52375557)天津市科技计划(No.24JCYBJC00160)中央高校基本科研业务费项目(No.3122024PT07)

10.37188/OPE.20263404.0525

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