Investigation of aerodynamic heat prediction method considering sensor dynamic response
The linear calibration integral equation for predicting the surface heat flux with two thermocouples is derived by mathematical modeling.Future time regularization and the phase plane and cross-correlation method for determining the optimal regularization parameters are applied.Through numerical simulation of the real flight test and two sets of calibration experiments,three sets of thermocouple data and two sets of calibration heat flux data required by the calibration integral equation method are obtained.The noise during the collection of actual thermocouple data is numerically added.The inverse heat conduction problem(IHCP)of aerodynamic heat prediction is simulated in MATLAB.The calibration integral equation is regularized and the optimal regularization parameter y are selected,which yield highly accurate surface heat flux prediction.The results indicate the calibration integral equation method can solve IHCP with unknown back surface boundary conditions,and has high robustness.The calibration integral equation method can avoid or reduce the uncertainty propagation of thermocouple dynamic response parameters,geometric parameters and thermophysical properties that are required in traditional IHCP methods,hence improve the accuracy and reliability of aerodynamic heat prediction.In addition,the influence of regularization parameter on the prediction results is also investigated.
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