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Variational approach to the volume viscosity of fluids
1.C. Truesdall and R. A. Toupin, “The classical field theories,” in Handbuch der Physik, edited by S. Flugge (Springer Verlag, Berlin, 1960), Vol. III/1, pp. 226–793.
2.L. C. Woods, The Thermodynamics of Fluid Systems (Clarendon, Oxford, 1975).
3.H. G. van Bueren, Imperfections in Crystals (North-Holland, Amsterdam, 1960).
4.K. F. Herzfeld and T. A. Litovitz, Absorption and Dispersion of Ultrasonic Waves (Academic, New York, 1959).
5.J. O. Hirschfelder, C. F. Curtiss, and R. B. Byrd, Molecular Theory of Gases and Liquids (Wiley, New York, 1954).
6.H. O. Kneser, “Molecular relaxation processes in gases,” in Physical Acoustics IIA, edited by W. P. Mason (Academic, New York, 1965), p. 193.
7.E. Freedman, “On the use of ultrasonic absorption for the determination of very rapid reaction rates at equilibrium: application to the liquid phase associate of carboxylic acids,” J. Chem. Phys.0021-9606 21, 1784 (1953).
8.M. Eigen and K. Tamm, “Sound absorption in electrolyte solutions due to chemical relaxation. I. Relaxation theory of multistage dissociation,” Z. Elektrochem.0372-8382 66, 93 (1962).
9.J. Lamb, “Ultrasonic relaxation due to rotational isomers,” Z. Elektrochem.0372-8382 64, 136 (1960).
10.A. Eucken, “The association of water,” Z. Elektrochem.0372-8382 52, 255 (1948).
11.J. Meixner, “Allgemeine Theorie der Schallabsorption in Gasen und Flussigkeiten unter Berucksichtigung der Transporterscheinungen,” Acustica0001-7884 2, 101 (1952).
12.G. B. Whitham, “The Navier-Stokes equations of motion,” in Laminar Boundary Layers, edited by L. Rosenhead (Oxford at the Clarendon Press, Oxford, 1963), pp. 124–127.
13.W. L. M. Nyborg, “Acoustic streaming,” in Physical Acoustics IIB, edited by W. P. Mason (Academic, New York, 1965), pp. 265–339.
14.L. Tisza, “Supersonic absorption and Stokes’ viscosity relation,” Phys. Rev.0031-899X 61, 531 (1942). The substitution was introduced into his Eq. (15) to obtain our Eq. (15).
18.S. R. deGroot and P. Mazur, “Viscous flow and relaxation phenomena,” in Non-Equilibrium Thermodynamics (North-Holland, Amsterdam, 1962), Chap. 7, pp. 304–333. Explicit expressions for the adiabatic and isothermal compressibilities were introduced into their Eq. (168) to obtain our Eq. (16).
19.C. S. Wang Chang, G. E. Uhlenbeck, and J. de Boer, “The heat conductivity and viscosity of polyatomic gases, Part C,” in Studies in Statistical Mechanics, edited by J. de Boer and G. E. Uhlenbeck (North-Holland, Amsterdam, 1964), pp. 241–268. The expression for the volume viscosity is their Eq. (72).
20.See Ref. 5, p. 501. Molecular properties were converted to molar properties (related by Avogadro’s number) in their Eq. (7.6-30) to obtain our Eq. (18).
21.S. Chapman and T. G. Cowling, The Mathematical Theory of Uniform Gases (Cambridge University Press, Cambridge, U.K., 1970). The specific heats in their Eq. (12.5,1) were converted to molecular degrees of freedom to obtain our Eq. (19).
22.A. D. Pierce, Acoustics: An Introduction to Its Physical Principles and Applications (Acoustical Society of America/American Institute of Physics, New York, 1989). The substitution was introduced into his Eq. (10-7.10) to obtain our Eq. (20), where is the mean free time between collisions and the reciprocal rotational collision number.
24.A. J. Zuckerwar, “Phenomenological theory of the translational relaxation times in gases,” J. Acoust. Soc. Am.0001-4966 105, 2210 (1999).
25.Handbook of Applicable Mathematics, edited by R. F. Churchhouse (Wiley, New York, 1981), pp. 216–223.
26.J. W. Herivel, “The derivation of the equations of motion of an ideal fluid by Hamilton’s principle,” Proc. Cambridge Philos. Soc.0068-6735 51, 344 (1955).
27.J. Serrin, “Mathematical principles of classical fluid mechanics,” in Handbuch der Physik, edited by S. Flugge (Springer-Verlag, Berlin, 1959), Vol VIII/1, pp. 144–150.
28.C. C. Lin, “Hydrodynamics of helium II,” Proc. Int. School of Physics, Course XXI (Academic, New York, 1963), pp. 93–146.
29.L. C. Woods, Thermodynamic Inequalities in Gases and Magnetoplasmas (John Wiley and Sons, Chichester, 1996).
30.H. J. Bauer, “Phenomenological theory of the relaxation phenomena in gases,” in Physical Acoustics IIA, edited by W. P. Mason (Academic, New York, 1965), pp. 47–131.
32.ANSI Standard S1.26-1995, “Method for calculation of the absorption of sound by the atmosphere” (Standards Secretariat of the Acoustical Society of America, New York, 1995).
33.Handbook of Chemistry and Physics, 63rd ed., edited by D. R. Lide (CRC Press, Boca Raton, FL, 1983).
34.F. H. Fisher and P. F. Worcester, “Essential oceanography,” in Encyclopedia of Acoustics, edited by M. J. Crocker (Wiley Interscience, New York, 1997), Vol. I, p. 381.
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