酚醛树脂气凝胶复合材料热物性参数预测方法

doi:10.7527/S1000-6893.2023.28848

Abstract

Abstract:

The thermo-physical properties of Inorganic-organic Hybrid Phenolic Aerogel Composites （IPC） are difficult to be accurately measured， due to the dynamic changes during carbonization. A new method to predict the thermo- physical properties of IPC during carbonization is proposed based on the measured information， by solving transient nonlinear inverse heat conduction problems. The modified gradient-based algorithm is applied to solving the transient nonlinear inverse heat conduction problem， to predict the temperature-dependent thermo-physical properties. To improve the accuracy， the complex variable-differentiation method is introduced to calculate the sensitivity coefficient matrix. The results show that the proposed algorithm has better stability， accuracy and efficiency than the conventional gradient algorithm in solving transient nonlinear inverse heat conduction problems， and the calculation time is reduced from 75 s to 35 s. The relative error between the calculated temperatures and measurements is 3.279%， and the present algorithm has high accuracy in predicting the effective thermal conductivity of IPC during carbonization. This work provides an effective method for the determination of the high temperature thermo-physical properties of thermal protection materials， and provides the key parameters for the engineering design of charring thermal protection materials.

Key words: thermal protection, inorganic-organic hybrid phenolic aerogel composites, effective thermal conductivity, parameter prediction, gradient-based algorithm

CLC Number:

V250.3

Chunyun ZHANG, Xiongbin CHEN, Jian LIU, Miao CUI. Prediction of thermo⁃physical properties of inorganic⁃organic hybrid phenolic aerogel composites[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(6): 428848-428848.

Figures/Tables 19

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T/℃	ρ/（kg·m^-3）	c/（J·kg^-1·℃^-1）	λ/（W·m^-1·℃^-1）
20	1 440	840	0.20
100	1 430	893	0.30
200	1 400	960	0.35
350	1 350	1 060	0.45
400	1 200	1 093	0.50
500	1 000	1 160	0.55
800	840	1 360	0.60

方法	步长h	是否收敛	迭代步数	目标函数	计算时间/s
本文算法	1×10^-5	是	5	2.12×10^-8	35
	1×10^-20	是	5	1.90×10^-8	36
	1×10^-30	是	5	3.65×10^-8	35

传统算法	1×10^-7	是	5	2.95×10^-9	45
	1×10^-14	是	9	5.52×10^-7	75
	1×10^-16	否

T/℃	ξ=1%		ξ=2%		ξ=3%
T/℃	Y_k	E_re/%	Y_k	E_re/%	Y_k	E_re/%
20	0.200	0.512	0.201	0.681	0.196	1.448
100	0.300		0.298		0.304
200	0.349		0.351		0.344
350	0.448		0.452		0.459
400	0.510		0.491		0.487
500	0.546		0.555		0.552
800	0.600		0.597		0.601

T/℃	λ/（W·m^-1·℃^-1）
100	0.045 5
400	0.054 0
800	0.087 0
1 000	0.214 8

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Prediction of thermo⁃physical properties of inorganic⁃organic hybrid phenolic aerogel composites

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t/s	T₁/℃	T₂/℃
0	20	20
2	50	21
20	200	30
40	600	40
80	1 000	60
100	1 200	80