Linear Sound Wave in a Rarefied Polyatomic Gas

Tommaso Ruggeri and Masaru Sugiyama
Additional contact information
Tommaso Ruggeri: University of Bologna, Department of Mathematics and Research Center on Applied Mathematics
Masaru Sugiyama: Nagoya Institute of Technology

Chapter Chapter 16 in Classical and Relativistic Rational Extended Thermodynamics of Gases, 2021, pp 361-387 from Springer

Abstract: Abstract In this chapter, we study a linear sound wave in a rarefied polyatomic gas in equilibrium. Thereby we can clarify the validity and the features of the ET14 and ET15 theories established in Chaps. 6 – 8 . In the first half of this chapter, we derive the dispersion relations on the basis of the ET14 theory and of the classical Navier-Stokes and Fourier (NSF) theory. Comparison of these relations with experimental data reveals clearly the superiority of the ET14 theory to the NSF theory. We confine our analysis within sound waves in some rarefied diatomic gases (hydrogen, deuterium, and hydrogen deuteride gases) because suitable experimental data are scarce. We also evaluate the relaxation times, and the shear and bulk viscosities, and the heat conductivity of the gases. In the second half, firstly we emphasize the necessity of the ET15 theory. Then using this theory we study the dispersion relation of a rarefied polyatomic gas with molecular rotational- and vibrational-relaxation processes. We study, in particular, its temperature dependence in the cases where the rotational and vibrational modes may or may not be excited. It is shown that the curve of the attenuation per wavelength with respect to the frequency has up to three peaks depending on the temperature and on the relaxation times. The peak in a low frequency region is studied especially in detail because its experimental measurement is relatively easy.

Date: 2021
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-59144-1_16

Ordering information: This item can be ordered from
http://www.springer.com/9783030591441

DOI: 10.1007/978-3-030-59144-1_16

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().