Nonlinear phenomena of small-scale sound in a gas with exponential stratification

• Autorzy: Perelomova A.

Identyfikatory

DOI

10.17466/tq2017/21.2/m

• Języki publikacji: EN

Abstrakty

EN

The nonlinear dynamics of perturbations, quickly varying in space, with comparatively large characteristic wavenumbers k: k > 1/H, is considered. H is the scale of density and pressure reduction in unperturbed gas, as the coordinate increases (H is the so-called height of the uniform equilibrium gas). Coupling nonlinear equations which govern the sound and the entropy mode in a weakly nonlinear flow are derived. They describe the dynamics of the gas in the leading order, with an accuracy up to the terms k(H)-1. In the field of the dominative sound mode, other induced modes contain parts which propagate approximately with their own linear speeds and the speed of the dominative mode. The scheme of successive approximations of nonlinear links between perturbations in the progressive mode is established. The numerical calculations for some kinds of impulses confirm the theory.

Słowa kluczowe

EN

sound propagation; non-uniform media; nonlinear acoustics

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2017
• Tom: Vol. 21, No 2
• Strony: 135--147
• Opis fizyczny: Bibliogr 10 poz., rys.

Twórcy

autor

Perelomova A.

• Faculty of Applied Physics and Mathematics, Gdansk University of Technology, Narutowicza 11/12, 80-233 Gdansk, Poland

Bibliografia

• [1] Brekhovskikh L M and Godin A O 1990 Acoustics of layered media, Springer-Verlag
• [2] Leble S 1991 Nonlinear waves in waveguides with stratification, Springer-Verlag
• [3] Perelomova A A 1998 Acta Acustica 84 1002
• [4] Gordin A V 1987 Mathematical problems of hydrodynamical weather prediction. Analytical aspects, Gydrometeoizdat (in Russian)
• [5] Perelomova A 2009 Archives of Acoustics 34 (2) 127
• [6] Perelomova A 2003 Acta Acustica united with Acustica 89 86
• [7] Riemann B 1953 The collected works of Bernard Riemann Weber H [Ed.], 2nd edition, Dover Publications
• [8] Rudenko O V, Soluyan S I 1977 Theoretical foundations of nonlinear acoustics, Plenum
• [9] Hamilton M, Morfey C 1998 Model equations, [in:] Nonlinear Acoustics, Hamilton M, and Blackstock D [Eds], Academic Press 41
• [10] Perelomova A A 2000 Archives of Acoustics 25 (4) 451

Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).