On the existence of some evolution equations in fluid-filled elastic tubes and their progressive wave solutions
Künye
Demiray, H. (2004). On the existence of some evolution equations in fluid-filled elastic tubes and their progressive wave solutions. International Journal of Engineering Science, 42(15-16), 1693-1706. doi:10.1016/j.ijengsci.2004.02.003Özet
In the present work, by employing the nonlinear equations of motion of an incompressible, isotropic and prestressed thin elastic tube and the approximate equations of an incompressible inviscid fluid, we studied the existence of some possible evolution equations in the longwave approximation and their progressive wave solutions. It is shown that, depending on the set of values of the initial deformation, it might be possible to obtain the conventional Korteweg-deVries (KdV) and the modified KdV equations of various forms. Finally, a set of progressive wave solutions is presented for such evolution equations.
Kaynak
International Journal of Engineering ScienceCilt
42Sayı
15-16Koleksiyonlar
İlgili Öğeler
Başlık, yazar, küratör ve konuya göre gösterilen ilgili öğeler.
-
Reducing a generalized Davey-Stewartson system to a non-local nonlinear Schrodinger equation
Eden, Osman Alp; Erbay, Saadet; Hacınlıyan, Irma (Pergamon-Elsevier Science Ltd, 2009-07-30)In the present study, we consider a generalized (2 + 1) Davey-Stewartson (GDS) system consisting of a nonlinear Schrodinger (NLS) type equation for the complex amplitude of a short wave and two asymmetrically coupled linear ... -
Head-on-collision of nonlinear waves in a fluid of variable viscosity contained in an elastic tube
Demiray, Hilmi (Pergamon-Elsevier Science Ltd, 2009-08-30)In this work, treating the arteries as a thin walled, prestressed elastic tube and the blood as an incompressible viscous fluid of variable viscosity, we have studied the interactions of two nonlinear waves, in the long ... -
Forced KdV equation in a fluid-filled elastic tube with variable initial stretches
Demiray, Hilmi (Pergamon-Elsevier Science Ltd, 2009-11)In this work, by utilizing the nonlinear equations of motion of an incompressible, isotropic thin elastic tube subjected to a variable initial stretches both in the axial and the radial directions and the approximate ...