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首页> 外文期刊>International Journal of Heat and Mass Transfer >Efficient and robust prediction of internal temperature distribution and boundary heat flux in participating media by using the Kalman smoothing technique
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Efficient and robust prediction of internal temperature distribution and boundary heat flux in participating media by using the Kalman smoothing technique

机译：使用卡尔曼平滑技术高效，鲁棒地预测参与介质的内部温度分布和边界热通量

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摘要

The Kalman smoothing (KS) technique, which is consisted of the Kalman filtering and Rauch-Tung-Striebel smoothing technique, is introduced to resolve the inverse radiation-conduction heat transfer problem by using the future temperature measurement information. For the forward problem, the discrete ordinate method is employed to solve the radiative transfer equation and the energy equation is resolved by using the finite volume method. The boundary time-dependent heat flux and internal temperature filed in participating media are retrieved in near real time from measurement temperature on the right surface. Different forms of time-dependent heat flux are imposed on the left surface to examine the performance of the proposed algorithm. All the reconstruction results indicate that the KS technique is effective and robust for resolving the retrieval of the boundary time-dependent heat flux and internal temperature fields in near real time. The effect of different parameters on the accuracy and stability of the reconstruction results, including the future temperature information, sampling interval, measurement noise covariance, initial state error, and initial state error covariance, are analyzed in detail. Compared with the KF technique, the reconstruction accuracy of KS technique can be improved obviously. Meanwhile, the time delay and oscillation of reconstructed heat flux are reduced significantly and the deviation of the retrieval temperature is also decreased greatly.
机译：引入由卡尔曼滤波和Rauch-Tung-Striebel平滑技术组成的卡尔曼平滑（KS）技术，以利用将来的温度测量信息来解决逆辐射传导换热问题。对于前向问题，采用离散纵坐标法求解辐射传递方程，采用有限体积法求解能量方程。从右表面的测量温度几乎实时地检索出参与介质中的边界时间相关的热通量和内部温度。不同形式的随时间变化的热通量被施加到左侧表面，以检查所提出算法的性能。所有的重建结果表明，KS技术对于解决实时边界热流和内部温度场的反演是有效且稳健的。详细分析了包括未来温度信息，采样间隔，测量噪声协方差，初始状态误差和初始状态误差协方差在内的不同参数对重建结果的准确性和稳定性的影响。与KF技术相比，KS技术的重构精度明显提高。同时，显着降低了重构热通量的时延和振荡，降低了取回温度的偏差。

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