Solitary waves in a tapered prestressed fluid-filled elastic tube
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Dosyalar
Tarih
2004-03
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Birkhauser Verlag AG
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, treating the arteries as a tapered, thin walled, long and circularly conical prestressed elastic tube and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in such a fluid-filled elastic tube by employing the reductive perturbation method. By considering the blood as an incompressible inviscid fluid the evolution equation is obtained as the Korteweg-de Vries equation with a variable coefficient. It is shown that this type of equations admit a solitary wave type of solution with variable wave speed. It is observed that, the wave speed increases with distance for positive tapering while it decreases for negative tapering.
Açıklama
Anahtar Kelimeler
Shock waves, Propagation, Arteries, Korteweg-de Vries equation, Solitons, Water waves, Solitary waves, Tapered tubes
Kaynak
Zeitschrift fur Angewandte Mathematik und Physik
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
55
Sayı
2
Künye
Demiray, H. (2004). Solitary waves in a tapered prestressed fluid-filled elastic tube. Zeitschrift Für Angewandte Mathematik Und Physik, 55(2), 282-294. doi:10.1007/s00033-003-2014-y
