Interactions of nonlinear acoustic waves in a fluid-filled elastic tube
Yükleniyor...
Dosyalar
Tarih
2001-03
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, the nonlinear interactions of two acoustical waves propagating in a fluid-filled elastic tube with different wave numbers, frequencies and group velocities are examined. Employing the multiple-scale expansion method, expanding the field quantities into asymptotic series of the smallness parameter and solving the resulting differential equations of various orders of the same parameter, we obtained two coupled nonlinear Schrodinger equations. The nonlinear plane wave solutions to these equations are also given for some special cases.
Açıklama
This work is partially supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Inviscid fluid, Solitary waves, Pressure waves, Modulation, Arteries, Propagation, Acoustic wave transmission, Confined flow, Differential equations, Elasticity, Harmonic waves, Korteweg-de Vries equation, Nonlinear equations, Schrödinger equations, Solitons, Tubes (components), Water waves
Kaynak
International Journal of Engineering Science
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
39
Sayı
5
Künye
Akgün, G. & Demiray, H. (2001). Interactions of nonlinear acoustic waves in a fluid-filled elastic tube. International Journal of Engineering Science, 39(5), 563-581. doi:10.1016/S0020-7225(00)00057-4
