Demiray, Hilmi2015-01-152015-01-152001-06Demiray, H. (2001). Modulation of non-linear waves in a viscous fluid contained in an elastic tube. International Journal of Non-Linear Mechanics, 36(4), 649-661. doi:10.1016/S0020-7462(00)00029-90020-74621878-5638https://hdl.handle.net/11729/97http://dx.doi.org/10.1016/S0020-7462(00)00029-9In the present work, utilizing the non-linear equations of a prestressed thin elastic tube filled with an incompressible viscous fluid the propagation of weakly non-linear waves in such a medium is studied. Considering that the arteries are initially subjected to a large static transmural pressure P-0 and an axial stretch lambda (z) and, in the course of blood how, a finite-time-dependent displacement is added to this initial field, the non-linear equations governing the motion of the tube in the radial direction is obtained. Utilizing the reductive perturbation technique the amplitude modulation of weakly non-linear and dissipative but strongly dispersive waves is examined and the dissipative non-linear Schrodinger equation is obtained. Finally, the numerical solution of the evolution equation under the given initial condition is given and the stability condition of the solution is discussed.eninfo:eu-repo/semantics/closedAccessNonlinear wavesViscous fluidsElastic tubesInviscid fluidSolitary wavesPropagationArteriesPressureEquationArticle364649661Q2Q2WOS:0001672246000082-s2.0-003537282410.1016/S0020-7462(00)00029-9Q1