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Acoustic streaming generated by standing waves in two-dimensional channels of arbitrary width
1.Lord Rayleigh, “On the circulation of air observed in Kundt’s tubes, and on some allied acoustical problems,” Philos. Trans. R. Soc. London 175, 1–21 (1884);
1.Sec. 3. See also Lord Rayleigh (J. W. Strutt), The Theory of Sound, 2nd ed. (Dover, New York, 1945), Vol. 2, Sec. 352.
2.P. J. Westervelt, “The theory of steady rotational flow generated by a sound field,” J. Acoust. Soc. Am. 25, 60–67 (1953); see Sec. V. See also errata on p. 799 of the same volume.
3.W. L. Nyborg, “Acoustic streaming,” in Physical Acoustics, edited by W. P. Mason (Academic, New York, 1965), Vol. 2B, Chap. 11, pp. 290–295.
4.W. L. Nyborg, “Acoustic streaming,” in Nonlinear Acoustics, edited by M. F. Hamilton and D. T. Blackstock (Academic, San Diego, 1998), Chap. 7, Sec. 3.3.
5.We use the terminology “Rayleigh streaming” to describe only the outer vortices generated by standing waves in a channel, as Rayleigh provides no discussion of the inner vortices.
6.L. K. Zarembo, “Acoustic streaming,” in High-Intensity Ultrasonic Fields, edited by L. D. Rozenberg (Plenum, New York, 1971), Part III, pp. 156–164.
7.O. V. Rudenko and S. I. Soluyan, Theoretical Foundations of Nonlinear Acoustics (Plenum, New York, 1977), pp. 206–210.
8.R. Waxler, “Stationary velocity and pressure gradients in a thermoacoustic stack,” J. Acoust. Soc. Am. 109, 2739–2750 (2001).
9.H. Bailliet, V. Gusev, R. Raspet, and R. A. Hiller, “Acoustic streaming in closed thermoacoustic devices,” J. Acoust. Soc. Am. 110, 1808–1821 (2001).
10.M. F. Hamilton, Yu. A. Ilinskii, and E. A. Zabolotskaya, “Nonlinear two-dimensional model for a thermoacoustic engine,” 1st International Workshop on Thermoacoustics, ’s-Hertogenbosch, The Netherlands, 23–25 April 2001.
11.M. F. Hamilton, Yu. A. Ilinskii, and E. A. Zabolotskaya, “Nonlinear two-dimensional model for thermoacoustic engines,” J. Acoust. Soc. Am. 111, 2076–2086 (2002).
12.S. Temkin, Elements of Acoustics (Acoustical Society of America, New York, 2001), Eq. (6.8.36).
13.G. W. Swift, “Thermoacoustic engines,” J. Acoust. Soc. Am. 84, 1145–1180 (1985).
14.M. F. Hamilton, Yu. A. Ilinskii, and E. A. Zabolotskaya, “Effect of thermal conductivity on acoustic streaming in a narrow channel,” J. Acoust. Soc. Am. 111, 2418(A) (2002).
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