Decoupling multimode vibrational relaxations in multi-component gas mixtures: Analysis of sound relaxational absorption spectra

doi:10.1088/1674-1056/22/1/014305

Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (1): 14305-014305.doi: 10.1088/1674-1056/22/1/014305

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Decoupling multimode vibrational relaxations in multi-component gas mixtures: Analysis of sound relaxational absorption spectra

张克声, 王殊, 朱明, 丁毅, 胡轶

Department of Electronics and Information, Huazhong University of Science and Technology, Wuhan 430074, China

收稿日期:2012-07-27 修回日期:2012-09-06 出版日期:2012-12-01 发布日期:2012-12-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 60971009 and 61001011), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20090142110019), the Natural Science Foundation of Hubei Province, China (Grant No. 2010CDB02701), and the Fundamental Research Funds for the Central Universities, China (Grant No. 2012QN083).

Decoupling multimode vibrational relaxations in multi-component gas mixtures: Analysis of sound relaxational absorption spectra

Zhang Ke-Sheng (张克声), Wang Shu (王殊), Zhu Ming (朱明), Ding Yi (丁毅), Hu Yi (胡轶)

Department of Electronics and Information, Huazhong University of Science and Technology, Wuhan 430074, China

Received:2012-07-27 Revised:2012-09-06 Online:2012-12-01 Published:2012-12-01
Contact: Zhu Ming E-mail:zhuming@mail.hust.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 60971009 and 61001011), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20090142110019), the Natural Science Foundation of Hubei Province, China (Grant No. 2010CDB02701), and the Fundamental Research Funds for the Central Universities, China (Grant No. 2012QN083).

摘要/Abstract

摘要： Decoupling the complicated vibrational-vibrational (V-V) coupling of a multimode vibrational relaxation remains a challenge to analyze the sound relaxational absorption in multi-component gas mixtures. In our previous work [Acta Phys. Sin. 61 174301 (2012)], an analytical model to predict the sound absorption from vibrational relaxation in a gas medium is proposed. In this paper, we develop the model to decouple the V-V coupled energy to each vibrational-translational deexcitation path, and analyze how the multimode relaxations form the peaks of sound absorption spectra in gas mixtures. We prove that a multimode relaxation is the sum of its decoupled single-relaxation processes, and only the decoupled process with a significant isochoric-molar-heat can be observed as an absorption peak. The decoupling model clarifies the essential behind the peaks in spectra arising from the multimode relaxations in multi-component gas mixtures. The simulation validates the proposed decoupling model.

关键词: vibrational relaxation, sound absorption, vibrational-vibrational coupling, decoupled single-relaxation process

Abstract: Decoupling the complicated vibrational-vibrational (V-V) coupling of a multimode vibrational relaxation remains a challenge to analyze the sound relaxational absorption in multi-component gas mixtures. In our previous work [Acta Phys. Sin. 61 174301 (2012)], an analytical model to predict the sound absorption from vibrational relaxation in a gas medium is proposed. In this paper, we develop the model to decouple the V-V coupled energy to each vibrational-translational deexcitation path, and analyze how the multimode relaxations form the peaks of sound absorption spectra in gas mixtures. We prove that a multimode relaxation is the sum of its decoupled single-relaxation processes, and only the decoupled process with a significant isochoric-molar-heat can be observed as an absorption peak. The decoupling model clarifies the essential behind the peaks in spectra arising from the multimode relaxations in multi-component gas mixtures. The simulation validates the proposed decoupling model.

Key words: vibrational relaxation, sound absorption, vibrational-vibrational coupling, decoupled single-relaxation process

中图分类号: (Ultrasonic velocity, dispersion, scattering, diffraction, and Attenuation in gases)

43.35.Ae

43.35.Fj (Ultrasonic relaxation processes in gases, liquids, and solids)

张克声, 王殊, 朱明, 丁毅, 胡轶. Decoupling multimode vibrational relaxations in multi-component gas mixtures: Analysis of sound relaxational absorption spectra[J]. Chin. Phys. B, 2013, 22(1): 14305-014305.

Zhang Ke-Sheng (张克声), Wang Shu (王殊), Zhu Ming (朱明), Ding Yi (丁毅), Hu Yi (胡轶). Decoupling multimode vibrational relaxations in multi-component gas mixtures: Analysis of sound relaxational absorption spectra[J]. Chin. Phys. B, 2013, 22(1): 14305-014305.

参考文献 30

[1]	Lambert J D 1977 Vibrational and Rotational Relaxation in Gases (Oxford: Clarendon) pp. 1-114
[2]	Mason W P 1965 Physical Acoustics (Vol. II) (New York: Academic Press)
[3]	Zhang K S, Wang S, Zhu M, Hu Y and Jia Y Q 2012 Acta Phys. Sin. 61 174301 (in Chinese)
[4]	Bauer H J, Shields F D and Bass H E 1972 J. Chem. Phys. 57 4624
[5]	Zuckerwar A J and Miller K W 1988 J. Acoust. Soc. Am. 84 970
[6]	Petculescu A G and Lueptow R M 2005 Phys. Rev. Lett. 94 238301
[7]	Shields F D 1970 J. Acoust. Soc. Am. 47 1262
[8]	Dain Y and Lueptow R M 2001 J. Acoust. Soc. Am. 109 1955
[9]	Petculescu A G and Lueptow R M 2005 J. Acoust. Soc. Am. 117 175
[10]	Schwartz R N, Slawsky Z I and Herzfeld K F 1952 J. Chem. Phys. 20 1591
[11]	Herzfeld K F and Litovitz T A 1959 Absorption and Dispersion of Ultrasonic Waves (New York: Academic) pp. 55-216
[12]	Morse P M and Ingard K U 1968 Theoretical Acoustics (New York: McGraw-Hill) pp. 294-300
[13]	Tanczos F I 1956 J. Chem. Phys. 25 439
[14]	Jia Y Q, Wang S, Zhu M, Zhang K S and Yuan F G 2012 Acta Phys. Sin. 61 095101 (in Chinese)
[15]	Bass H E, Bauer H J and Evans L B 1972 J. Acoust. Soc. Am. 52 821
[16]	Ejakov S G, Phillips S, Dain Y, Lueptow R M and Visser J H 2003 J. Acoust. Soc. Am. 113 1871
[17]	Phillips S, Dain Y and Lueptow R M 2003 Meas. Sci. Technol. 14 70
[18]	Lawrence E K, Austin R F, Alan B C and James V S 1982 Fundamentals of Acoustics (New York: Wiley) pp. 141-149
[19]	Zuckerwar A J and Griffin W A 1980 J. Acoust. Soc. Am. 68 218
[20]	Holmes R, Smith F A and Tempest W 1963 Proc. Phys. Soc. 81 311
[21]	Shields F D 1959 J. Acoust. Soc. Am. 31 248
[22]	Petculescu A G, Hall B, Fraenzle R, Phillips S and Lueptow R M 2006 J. Acoust. Soc. Am. 120 1779
[23]	Bass H E 1973 J. Chem. Phys. 58 4783
[24]	Gravitt J C, Whetstone C N and Lagemann R T 1966 J. Chem. Phys. 44 70
[25]	Angona F A 1953 J. Acoust. Soc. Am. 25 1116
[26]	Yu G Y, Song Y F, He X, Zheng X X, Tan D W, Chen J and Yang Y Q 2012 Chin. Phys. B 21 043402
[27]	Petculescu A G and Lueptow R M 2012 Sensors & Actuators B: Chemical 169 121
[28]	Yan S, Wang S and Dou Z 2007 Meas. Sci. Technol. 18 1278
[29]	Yan S and Wang S 2008 Acta Phys. Sin. 57 4282 (in Chinese)
[30]	Zhu M, Wang S, Wang S T and Xia D H 2008 Acta Phys. Sin. 57 5749 (in Chinese)

Decoupling multimode vibrational relaxations in multi-component gas mixtures: Analysis of sound relaxational absorption spectra

Decoupling multimode vibrational relaxations in multi-component gas mixtures: Analysis of sound relaxational absorption spectra

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