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Inverse Estimation of Cooling Heat Flux in Spray Cooling of Hot Surface Based on Dual-Phase-Lag Model
International Journal of Computational Methods ( IF 1.7 ) Pub Date : 2019-08-13 , DOI: 10.1142/s0219876219500695
Wen-Lih Chen, Kuo-Chi Liu, Yu-Ching Yang, Haw-Long Lee, Win-Jin Chang

An inverse analysis technique based on the conjugate gradient method (CGM) and the discrepancy principle is employed to estimate the time-wise variation of the unknown cooling heat flux in the spray cooling of a hot surface. In contrast to previous studies, the heat conduction equation of the cooled surface is formulated using a dual-phase-lag (DPL) model. In addition, no assumptions are made regarding the functional form of the cooling heat flux. The simulation data required to conduct the inverse analysis are generated by adding random errors to the calculated exact temperatures at the boundaries and interior of the hot body. The validity of the inverse solutions is demonstrated numerically by means of two illustrative examples. Moreover, the sensitivity of the estimation results to the measurement error and measurement location is systematically explored. Overall, the results show that the proposed method provides a robust and accurate approach for estimating the unknown time-dependent cooling heat flux in typical industrial spray cooling applications.

中文翻译:

基于双相滞后模型的热面喷雾冷却冷却热通量反演

采用基于共轭梯度法(CGM)和差异原理的逆分析技术来估计热表面喷雾冷却过程中未知冷却热通量的时间变化。与以前的研究相比,冷却表面的热传导方程是使用双相滞后 (DPL) 模型制定的。此外,没有对冷却热通量的函数形式进行任何假设。进行逆分析所需的模拟数据是通过将随机误差添加到计算的热体边界和内部的精确温度而生成的。逆解的有效性通过两个说明性示例在数值上证明。而且,系统探讨了估计结果对测量误差和测量位置的敏感性。总体而言,结果表明,所提出的方法为估计典型工业喷雾冷却应用中未知的时间相关冷却热通量提供了一种稳健且准确的方法。
更新日期:2019-08-13
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