Abstract
The effect of molecular rotations on the dispersion of the speed of sound and the absorption factor is theoretically analyzed for mixtures of diatomic and monatomic gases with disparate molecular masses. Two types of mixtures are considered: 1) the molecules of the diatomic component are significantly lighter than the molecules of the monatomic gas, and 2) the monatomic molecules have a smaller mass. The calculations show that the effect of rotational relaxation on acoustic characteristics in the range of frequencies close to the critical value can by ignored in the first-type mixtures, whereas the energy exchange between the rotational and translational degrees of freedom of molecules has a considerable effect on the propagation of forced acoustic oscillations in the second case.
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References
J. R. Bowler and E. A. Johnson, “Anomalous sound propagation and mode degeneracy in noble gas mixtures,”Proc. Roy. Soc. London, Ser. A,408, No. 1834, 79–101 (1986).
J. Fernandez de la Mora and A. Puri, “Two-fluid Euler theory of sound dispersion in gas mixtures of disparate masses,”J. Fluid Mech.,168, 369–382 (1986).
E. Goldman and L. Sirovich, “Equations for gas mixtures,”Phys. Fluids,10, No. 9, 1928–1940 (1967).
S. P. Kiselev, G. A. Ruev, A. P. Trunev, et al.,Shock-Wave Processes in Two-Component and Two-Phase Media [in Russian], Nauka, Novosibirsk (1992).
J. D. Ramshaw, “Hydrodynamic theory of multicomponent diffusion and thermal diffusion in multitemperature gas mixtures,”J. Non-Equil. Therm. 19, No. 2, 121–134 (1993).
R. P. C. Schram and G. H. Wegdam, “Fast and slow sound in two-fluid model,”Physica A,203, No. 1, 33–52 (1994).
A. I. Osipov, “Rotational-translational exchange of energy in molecular collisions (Collection of experimental data on the times and probabilities of rotational transitions),” in:Plasma Chemistry [in Russian], No. 16, Energoatomizdat, Moscow (1990), pp. 3–39.
C. Chidiac, M. Y. Perrin, and J. P. Martin, “Influence of velocity slip and temperature difference on internal relaxation in diatomic-monatomic mixture, free jet expansion,”Phys. Fluids,A3, No. 8, 1991–1999 (1991).
H. Rabitz and S.-H. Lam “Rotational energy relaxation in molecular hydrogen,”J. Chem. Phys.,63, No. 8, 3532–3542 (1975).
A. I. Osipov, “Rotational relaxation in gases,”Inzh.-Fiz. Zh.,49, No. 1, 154–170 (1985).
J. derouard and N. Sadeghi, “New experimental evidences for dynamic constraints on angular momentum transfer in heavy molecules-light particles collisions: I2(B)+4He,3He, H2, and D2,”J. Chem. Phys.,81, No. 7, 3003–3008 (1984).
V. N. Kondrat’ev and E. E. Nikitin,Kinetics and Mechanism of Gas-Phase Reactions [in Russian], Nauka, Moscow (1974).
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Institute of Theoretical and Applied Mechanics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 40, No. 3, pp. 97–103, May–June, 1999.
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Dolgushev, S.V. Effect of molecular rotations on acoustic properties of a two-fluid medium. J Appl Mech Tech Phys 40, 445–450 (1999). https://doi.org/10.1007/BF02468399
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DOI: https://doi.org/10.1007/BF02468399