弛豫时间模型在构建气体声衰减谱中的应用
首发时间:2011-01-11
摘要:对气体的振动能级参与的声弛豫过程进行分析,结合平动弛豫时间和振动弛豫时间,提出了一种复合弛豫时间模型。利用该复合弛豫时间模型以及复合弛豫时间与有效定容比热的关系构建气体的弛豫声衰减谱。以两种、三种或四种气体成分混合气体为例,利用这种方法得到的混合气体的弛豫声衰减谱与Ejakov实验数据以及由Dain和Lueptow理论得到的弛豫声衰减谱相比较,无论是谱线变化趋势、声衰减数量级、以及谱线波峰对应的横坐标值等结果均基本一致,证明了该弛豫衰减谱的有效性,从而证明了该复合弛豫时间模型的正确性和有效性。
关键词: 信号处理 超声传播 复合弛豫时间 弛豫声衰减谱 有效定容比热
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Application of the relaxation time model in the constructing of the gas acoustic attenuation spectrum
Abstract:Based on the analysis of acoustic relaxation process of the vibrational modes in the molecules of gas mixtures, the multi-relaxaiton time model can be proposed by combining the translational relaxation time and the vibrational relaxation time. The acoustic relaxation attenuation spectrum of gas mixtures was constructed based on the multi-relaxaiton time model and the relationship between the effective specific heat capacity and the multi-relaxation time. The method was applied for the gas mixtures with more than two components. The comparison of the experimental data of Ejakov and the results in this paper, and the comparison of the results of Dain and Lueptow theory and the results in this paper showed the validity of the methods. The trends of the three kinds of the spectrums, the order of magnitude, and the value of the horizontal axis corresponding to the peak of the spectrum line are consistent. Consequently, the correctness and the validity of the multi-relaxation time model are proved.
Keywords: signal processing ultrasonic propagation effective relaxation time acoustic relaxation attenuation spectrum effective specific heat capacity
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