Open AccessThe analytic model between effective heat capacity and relaxation time in gas acoustic relaxation process
Author(s) -
Jia Ya-Qiong,
Shu Wang,
Ming Zhu,
Kesheng Zhang,
Yuan Fei-Ge
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.095101
Subject(s) - vibrational energy relaxation , relaxation (psychology) , attenuation , heat capacity , degrees of freedom (physics and chemistry) , heat capacity ratio , polyatomic ion , physics , correctness , thermodynamics , statistical physics , molecule , quantum mechanics , computer science , psychology , social psychology , programming language
The acoustic relaxation is one important nature of gas, which is caused by the sound propagation in the polyatomic molecule gas. It is the basic relaxation process, which arises from the translational-vibrational degree of freedom (V-T) and the molecular energy transfer between different vibrational degrees of freedom (V-V) separately. By studying the molecule energy transition model of the basic acoustic relaxation processes of gas, we propose an analytic model reflecting the correspondence between effective specific heat capacity and relaxation time in this paper. Compared with the existing relaxation model, the analytic model provides the corresponding relationship between the vibrational specific heat capacity and the relaxation time in V-T and V-V. The solution procedure of the analytic model illustrates that the higher vibrational energy level is the determinant of the basic relaxation process. The effective heat capacity is the foundation of acoustic relaxation attenuation spectrum of gas. The relaxation attenuation spectra result from the analytic model in this paper, which is modified by fine-tuning the collision diameter of the gas molecule, are more consistent with the experiment data than with the existing theoretical value. It proves the correctness and validity of the analytic model.