文档介绍：热电偶传感器瞬态温度外推测试研究
摘要:在传热学基本原理和航空热力学基本定理的基础上,本文提出了利用有限差分外推法测量航空发动机内壁瞬态温度的方法。通过不同深度的三枚同类型传感器,建立距离内壁一定距离的温度层的瞬态温度并建立了一个传热学一维传热模型。利用有限差分逼近外推法,通过高等数学偏微分方程求解的方式外推出发动机内壁的瞬态温度的偏差分方程,利用傅里叶-冯•诺伊曼稳定性分析条件和拉克斯等价定理对其稳定性和收敛性进行分析。通过MATLAB进行多组仿真证实该方法误差在可允许范围内,方法可行。实验结果表明采用该种方法误差率在4%%左右,误差量小。与传统直接测量分析法相比,该方法安全可靠,形式简单,成本较低,测量精度较高,便于工程应用。
关键词:热电偶,航空发动机,有限差分外推,瞬态温度,MATLAB
Extrapolation of the transient temperature thermocouple sensor
Abstract: This paper presents a method of extrapolation in the finite-difference measurement of transient temperature of the inner wall of the aircraft engine on the basis of the basic principles of heat transfer and aviation thermodynamic theorem and the establishment of a heat transfer of one-dimensional heat transfer model. The use of extrapolation finite difference approximation, with the help of different depths of three of the same type of sensor, we can establish distance from the inner wall of a certain distance of the temperature stratification of transient temperature and Fourier - von Neumann stability analysis of conditions and the Lakes Equivalence Theoremits stability and convergence analysis. And we can launch of the inner wall of the transient temperature of the engine by way of Partial Differential Equations of Higher Mathematics. The MATLAB simulation confirmed that the method error in the allowable range, so the method of proof is correct. The experimental results show that the error rate of the ways a small amount of error around 4% to %. Compared with the traditional direct measurement analysis, this method is safe, reliable, Simple in form, lower costing and high measurement accuracy. This method is suitable for use in engineering.
Keyword: Thermocouple, Aero-engine, Finite-difference extrapolation, Transient temperature, MATLAB
目录
1 绪论 1
2 测试环境及问题 1
现代航空发动机燃烧室内部环境 1
国际通用测试用热电偶 2
3 高温测试的外推法研究 4
4 航空发动机燃烧室内壁数学模型 5
数学模型的建立 5
模型的传热学方程 6
模型导热微分方程的单值性条件 7
5 模型传热学微分方程的有限差分逼近法解析 8
有限差分逼近 8