University of Surrey

Test tubes in the lab Research in the ATI Dance Research

Harmonic modes in binary monatomic gas mixtures.

Bowler, John R. (1984) Harmonic modes in binary monatomic gas mixtures. Doctoral thesis, University of Surrey (United Kingdom)..

[img]
Preview
Text
10797553.pdf
Available under License Creative Commons Attribution Non-commercial Share Alike.

Download (4MB) | Preview

Abstract

The dispersion and absorption coefficient of sound is calculated using the linearized thirteen-moment equations for binary monatomic gas mixtures. By extending the formal results of Huck and Johnson to include general interatomic force laws it is confirmed that the dispersion law for acoustic modes is influenced by the presence of other harmonic modes in the gas. Specific predictions are made for He-Xe since interference between modes occurs at lower frequencies in disparate mass mixtures. It is shown that either the diffusion mode or the thermal mode has a major influence on the behaviour of the acoustic mode, depending on the interatomic force law. The interference is strongest in a critical region where the mole fraction of helium is roughly 0. 45 and the effective frequency is approximately 75 MHz. Atm We have reformulated the application of perturbation theory for the calculation of harmonic solutions of the coupled Boltzmann equations for a mixture at low frequencies. For higher frequencies, including the critical region, a different perturbation expansion is shown to be necessary for disparate mass mixtures. Such an expansion is given and formal results are obtained which validate the thirteen moment theory for the critical region and define the accuracy of its predictions. Experimental apparatus has been designed and built to measure sound absorption and dispersion in He-Xe mixtures. Data were obtained for effective frequencies of up to 100 MHz. Atm The results corroborate the thirteen moment theory and suggest that the acoustic mode and at least one other mode were excited.

Item Type: Thesis (Doctoral)
Divisions : Theses
Authors :
NameEmailORCID
Bowler, John R.
Date : 1984
Contributors :
ContributionNameEmailORCID
http://www.loc.gov/loc.terms/relators/THS
Additional Information : Thesis (Ph.D.)--University of Surrey (United Kingdom), 1984.
Depositing User : EPrints Services
Date Deposited : 22 Jun 2018 09:50
Last Modified : 06 Nov 2018 16:52
URI: http://epubs.surrey.ac.uk/id/eprint/847175

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year


Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800