Numerical simulation of the ablation process in phenolic resin impregnated quartz fiber composites
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摘要: 针对酚醛树脂浸渍石英纤维复合材料(PISF)烧蚀热响应过程受热边界难处理的问题,建立了PISF的三维流-热-烧蚀多场耦合模型,预测了高温环境下材料受热过程和散热过程的瞬态温度分布,模拟了体积烧蚀和表面烧蚀过程,分析了各项参数对PISF传热的影响。结果表明:随着受热时间的增长,材料表面温度逐渐升高,流入表面的热流迅速减少。受热面中心点处受到的热流最大,约3.6 s后开始发生烧蚀,烧蚀最为明显。材料表面受热后迅速分解,产气速率迅速达到峰值,后期由于表面热阻效应,产气速率逐渐降低。一定条件下,提高导热系数会降低烧蚀后退速率和提高产气速率,背温升高,不利于材料隔热;提高热容会降低烧蚀后退速率和产气速率,背温降低,有利于材料隔热;显著提高渗透率会增强流体流动传热,提高烧蚀后退速率和产气速率,背温升高,不利于材料隔热。研究结果可以提高对PISF烧蚀热响应过程的认识,并为热防护材料的优化设计提供参考。Abstract: To address the challenge of handling the thermal boundary conditions in thermal response process of phenolic resin impregnated quartz fiber composites (PISF), a three-dimensional fluid-heat-ablation multi-field coupled model was established. The transient temperature distribution of the material during heating and heat dissipation under high-temperature environment was predicted, and the volume and surface ablation processes were simulated. The influence of various parameters on the heat transfer process of PISF was analyzed. The results indicate that with the increase of time, the surface temperature of the material gradually increases, and the heat flux entering the model decreases. The center point of the heated surface experiences the maximum heat flux and exhibits the most significant ablation. Ablation begins at about 3.6 s. After the material surface being heated, it rapidly decomposes, leading to a peak in gas production rate. Subsequently, due to the surface thermal resistance effect, the gas production rate gradually decreases. Under certain conditions, increasing the thermal conductivity will reduce the ablation regression rate and increase gas production rate, resulting in a higher back temperature, which is unfavorable to thermal insulation of the material. Increasing the specific heat will reduce the ablation regression rate and gas production rate, resulting in a lower back temperature, which is beneficial to thermal insulation of the material. Significantly increasing the permeability will enhance fluid flow heat transfer, increase the ablation regression rate and gas generation rate, resulting in a higher back temperature, which is unfavorable to thermal insulation of the material. The research results contribute to a better understanding of the pyrolysis thermal response process of PISF and provide reference for the optimization design of thermal protection materials.
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Key words:
- ablation material /
- thermal response /
- volume ablation /
- surface ablation /
- numerical simulation
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表 1 酚醛树脂浸渍石英纤维复合材料参数
Table 1. Parameters of phenolic resin impregnated quartz fiber composites
Property Value Ref. Density of virgin material $ {\rho }_{\mathrm{s}} $/(kg·m−3) 1553 * Density of product $ {\rho }_{\mathrm{c}} $/(kg·m−3) 1920 * Porosity of virgin material $ \mathrm{ \varepsilon } $ 0.68 * Porosity of product $ \varepsilon $ 0.8 * Activation energy $ {E}_{\mathrm{a}} $/(J·mol−1) 7.88×104 [8] Reaction rate constant $ {A}_{0} $/(kg·m−3·s−1) 1.94×105 [8] Order of reaction n 1 [8] Permeability of virgin material $ {K}_{\mathrm{s}} $/m2 6.18×10−18 [8] Permeability of product $ {K}_{\mathrm{c}} $/m2 4.85×10−15 [8] Specific heat of virgin material $ {c}_{\mathrm{p}\mathrm{s}} $/(J·(kg·K)−1) 783.55+0.976T [21] Specific heat of product $ {c}_{\mathrm{p}\mathrm{c}} $/(J·(kg·K)−1) 672.52+0.76T [21] Thermal conductivity of virgin material $ {k}_{\mathrm{v}} $/(W·(m·K)−1) 0.72+2.76×10−4T [21] Thermal conductivity of product $ {k}_{\mathrm{c}} $/(W·(m·K)−1) 0.32+4.25×10−3T−8.43×10−6T2+5.32×
10−9T3[21] Heat of decomposition $ \Delta {h}_{\mathrm{t}\mathrm{r}\mathrm{e}} $/(kJ·kg−1) −418.7 [21] reaction enthalpy $ \Delta {H}_{\mathrm{P}} $/(kJ·kg−1) 615 [21] Enthalpy of ablation Hv/(kJ·kg−1) −12686 [9] Note: *—Measured value. -
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