**42**, 2, pp. 263–271, 2017

**10.1515/aoa-2017-0029**

### Standing Waves in One-Dimensional Resonator Containing an Ideal Isothermal Gas Affected by the Constant Mass Force

contribute to the total field in a resonator. It is no longer isobaric, in contrast to the case when the external force is absent. Examples of perturbations inherent to the entropy mode in the volume of a resonator are discussed.

**Keywords**: acoustic resonator; non-uniform media; standing waves

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#### References

Brekhovskikh L.M., Godin A.O. (1990), Acoustics of layered media, Springer-Verlag, Berlin.

Chu B.-T., Kovasznay L.S.G. (1958), Nonlinear interactions in a viscous heat-conducting compressible gas, J. Fluid. Mech., 3, 494–514.

Eckart C. (1960), Hydrodynamics of Oceans and Atmospheres, Pergamon Press, London.

Hamilton M.F., Blackstock D.T. [Eds.] (1997), Nonlinear Acoustics, Academic Press, San Diego.

Jones R.M. (2001), The dispersion relation for internal acoustic-gravity waves in a baroclinic fluid, Physics of Fluids, 13, 1274–1280.

Kaner A., Rudenko O.V., Khokholov R.V. (1977), Theory of nonlinear oscillations in acoustic resonators, Sov. Phys. Acoust., 23, 5, 432–437.

Leble S.B. (1990), Nonlinear waves in waveguides with stratification, Springer-Verlag, Berlin.

Leble S., Perelomova A. (2013), Problem of proper decomposition and initialization of acoustic and entropy modes in a gas affected by the mass force, Applied Mathematical Modelling, 37, 629–635.

Pedloski J. (2006), Geophysical fluid dynamics, Springer-Verlag, Berlin.

Perelomova A. (1998), Nonlinear dynamics of vertically propagating acoustic waves in a stratified atmosphere, Acta Acustica, 84, 1002–1006.

Perelomova A. (2006), Development of linear projecting in studies of non-linear flow. Acoustic heating induced by non-periodic sound, Physics Letters A, 357, 42–47.

Perelomova A. (2009), Weakly nonlinear dynamics of short acoustic waves in exponentially stratified gas, Archives of Acoustics, 34, 2, 197–213.

Rudenko O.V., Soluyan S.I. (1977), Theoretical foundations of nonlinear acoustics, Plenum, New York.

DOI: 10.1515/aoa-2017-0029

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