Işık Üniversitesi Kurumsal Akademik Belleği :: DSpace Angular

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Variable coefficient Korteweg-deVries equation in fluid-filled elastic tubes
(Technical University Liberec, 2011-09-05) Demiray, Hilmi
In the present work, treating the arteries as a prestressed thin elastic tube with a stenosis and the blood as an inviscid fluid, we have studied the propagation of weakly nonlinear waves in such a medium by use of the reductive perturbation method and obtained the variable coefficient Korteweg-deVries (KdV) equation as the evolution equation. A progressive wave type of solution to this evolution equation, in the sense of distribution, is presented and the result is discussed.
Travelling waves in a prestressed elastic tube filled with a fluid of variable viscosity
(Springer, 2008) Demiray, Hilmi; Gaik, Tay Kim
In this work, treating the artery as a prestressed thin elastic tube with variable radius and the blood as all incompressible Newtonian fluid with variable viscosity, the propagation of nonlinear waves ill Such a composite medium is studied, in the long wave approximation, through the use of the reductive perturbation method and the Forced Korteweg-de Vries-Burgers (FKdVB) equation with variable coefficients is obtained as the evolution equation. A progressive wave type of solution is presented for this evolution equation and the result is discussed.