Nonlinear wave modulation in a prestressed thin elastic tube filled with an inviscid fluid
Yükleniyor...
Tarih
2002
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wit Press
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and the approximate equations of an incompressible inviscid fluid and then utilizing the reductive perturbation technique, the amplitude modulation of weakly nonlinear waves is examined. It is shown that, the amplitude modulation of these waves is governed by a nonlinear Schrödinger (NLS) equation. The result is compared with some previous works on the same subject. The modulational instability of the monochromatic wave solution is discussed for some elastic materials and initial deformations. It is shown that the amplitude modulation of weakly nonlinear waves near the marginal state is governed by the Generalized Nonlinear Schrödinger equation (GNLS).
Açıklama
Wessex Institute of Technology
Anahtar Kelimeler
Approximation theory, Deformation, Elastic materials, Elasticity, Incompressible flow, Inviscid fluids, Korteweg-de Vries equation, Nonlinear equations, Nonlinear waves, Perturbation techniques, Pressure, Problem solving, Propagation, Schrodinger-equation, Solitary waves, Solitons, Tubes (components), Water waves
Kaynak
Advances in Fluid Mechanics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
32
Sayı
Künye
Bakırtaş, İ., Demiray, H., (2002). Nonlinear wave modulation in a prestressed thin elastic tube filled with an inviscid fluid. Paper presented at the Advances in Fluid Mechanics, 32, 695-703.
