Nonlinear waves in a viscous fluid contained in a viscoelastic tube
Yükleniyor...
Dosyalar
Tarih
2001-11
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Birkhauser Verlag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work the propagation of weakly nonlinear waves in a prestressed viscoelastic thin tube filled with a viscous fluid is studied. Using the reductive perturbation technique in analyzing the nonlinear equations of a viscoelastic tube and the approximate equations of a viscous fluid, the propagation of weakly nonlinear waves in the longwave approximation is studied. Depending on the order of viscous effects, various evolution equations like, Burgers', Korteweg-de Vries, Korteweg-de Vries-Burgers' equations and their perturbed forms are obtained. Ravelling wave type of solutions to some of these evolution equations are sought. Finally, utilizing the finite difference scheme, a numerical solution is presentede for the perturbed KdVB equation and the result is discussed.
Açıklama
Anahtar Kelimeler
Perturbed Burgers, Korteweg-de Vries equations, Inviscid fluid, Solitary waves, Elastic tube, Thin tube, Propagation, Arteries, Pressure, Equation
Kaynak
Zeitschrift fur Angewandte Mathematik und Physik
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
52
Sayı
6
Künye
Demiray, H. (2001). Nonlinear waves in a viscous fluid contained in a viscoelastic tube. Zeitschrift Für Angewandte Mathematik Und Physik, 52(6), 899-912. doi:10.1007/PL00001586
