Waves in an elastic tube filled with a heterogeneous fluid of variable viscosity
Yükleniyor...
Dosyalar
Tarih
2009-07
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
By treating the artery as a prestressed thin elastic tube and the blood as an incompressible heterogeneous fluid with variable viscosity. we studied the propagation of weakly non-linear waves in such a composite medium through the use of reductive perturbation method. By assuming a variable density and a variable viscosity for blood in the radial direction we obtained the perturbed Korteweg-deVries equation as the evolution equation when the viscosity is of order of epsilon(3/2). We observed that the perturbed character is the combined result of the viscosity and the heterogeneity of the blood. A progressive wave type of solution is presented for the evolution equation and the result is discussed. The numerical results indicate that for a certain value of the density parameter sigma, the wave equation loses its dispersive character and the evolution equation degenerates. It is further shown that, for the perturbed KdV equation both the amplitude and the wave speed decay in the time parameter tau.
Açıklama
Anahtar Kelimeler
Heterogeneous fluid, Fluid-filled tubes, Perturbed KdV equation, Solitary waves, Burgers equation, Inviscid fluid, Deformation, Pressure, Fluids, Composite medium, Density parameters, Elastic tubes, Evolution equations, Heterogeneous fluids, KdV equations, Nonlinear waves, Numerical results, Pre-stressed, Progressive waves, Radial direction, Reductive perturbation methods, Thin elastic tube, Time parameter, Variable density, Variable viscosity, Wave speed, Blood, Computational mechanics, Differential equations, Perturbation techniques, Tubes (components), Viscosity, Wave equations
Kaynak
International Journal of Non-linear Mechanics
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
44
Sayı
6
Künye
Demiray, H. (2009). Waves in an elastic tube filled with a heterogeneous fluid of variable viscosity. International Journal of Non-Linear Mechanics, 44(6), 590-595. doi:10.1016/j.ijnonlinmec.2008.12.011
