Abstract A semi-analytical model is developed to predict the influence of temperature on the sound absorbing performance of sintered metal fiber materials (SMFMs) by extending the Johnson-Champoux-Allard-Lafarge (JCAL) model. In this model, three micro-structure factors of the SMFMs – the Kozeny number and the thermal and viscous shape factors – are calculated by applying the multi-scale asymptotic method (MAM), and the temperature effect is taken into account by considering the variations of the thermo-physical parameters of saturated air with temperature. Key transport parameters (e.g., viscous and thermal permeability, tortuosity, viscous and thermal characteristic lengths) are then directly determined by fiber diameter and porosity of the material. High-efficiency of the semi-analytical model is demonstrated for estimating the influence of topological parameters upon sound absorption under different temperatures. The transport parameters obtained by the proposed model agree well with those calculated using fully numerical simulations. Also, the model predictions are in accordance with existing experimental measurements at different temperatures. The model reveals not only the underlying mechanisms of temperature effect on sound propagation in porous metals, but also provides a theoretical guideline for the sound absorption application of SMFMs in high temperature environments.

中文翻译：

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温度对烧结金属纤维材料声传播影响的半解析模型

摘要 通过扩展Johnson-Champoux-Allard-Lafarge (JCAL) 模型，建立了一个半解析模型来预测温度对烧结金属纤维材料(SMFM) 吸声性能的影响。在该模型中，应用多尺度渐近法 (MAM) 计算了 SMFM 的三个微观结构因子——Kozeny 数和热和粘性形状因子，并通过考虑变化来考虑温度效应饱和空气的热物理参数随温度变化。关键传输参数（例如，粘性和热渗透性、弯曲度、粘性和热特征长度）然后由材料的纤维直径和孔隙率直接确定。证明了半解析模型的高效性，用于估计拓扑参数对不同温度下吸声的影响。由所提出的模型获得的传输参数与使用完全数值模拟计算的那些参数非常吻合。此外，模型预测与不同温度下的现有实验测量结果一致。该模型不仅揭示了温度对多孔金属中声音传播的影响机制，而且为 SMFM 在高温环境中的吸声应用提供了理论指导。模型预测与不同温度下的现有实验测量结果一致。该模型不仅揭示了温度对多孔金属中声音传播的影响机制，而且为 SMFM 在高温环境中的吸声应用提供了理论指导。模型预测与不同温度下的现有实验测量结果一致。该模型不仅揭示了温度对多孔金属中声音传播的影响机制，而且为 SMFM 在高温环境中的吸声应用提供了理论指导。