Now showing items 1-3 of 3

  • The effect of a bump in an elastic tube on wave propagation in a viscous fluid of variable viscosity 

    Authors:Demiray, Hilmi
    Publisher and Date:(Elsevier Science, 2007)
    In the present work treating the arteries as a thin walled prestressed elastic tube with a bump and the blood as a Newtonian fluid of variable viscosity we have studied the propagation of weakly nonlinear waves in such a medium by employing the reductive perturbation method in the longwave approximation. Korteweg-deVries-Burgers equation with variable coefficients is obtained as the evolution equation. Seeking a progressive wave type of solution to this evolution equation it is observed that the ...

  • The effects of higher-order approximations in a fluid-filled elastic tube with stenosis 

    Authors:Demiray, Hilmi
    Publisher and Date:(Verlag der Zeitschrift fur Naturforschung, 2006)
    Treating arteries as thin-walled prestressed elastic tubes with a narrowing (stenosis) and blood as an inviscid fluid we study the propagation of weakly nonlinear waves in such a fluid-filled elastic tube by employing the reductive perturbation method in the long wave approximation. It is shown that the evolution equation of the first-order term in the perturbation expansion may be described by the conventional Korteweg-de Vries (KdV) equation. The evolution equation for the second-order term is ...

  • The effects of higher-order approximations in a fluid-filled elastic tube with stenosis 

    Authors:Demiray, Hilmi
    Publisher and Date:(VERLAG Z NATURFORSCH, 2006)
    Treating arteries as thin-walled prestressed elastic tubes with a narrowing (stenosis) and blood as an inviscid fluid we study the propagation of weakly nonlinear waves in such a fluid-filled elastic tube by employing the reductive perturbation method in the long wave approximation. It is shown that the evolution equation of the first-order term in the perturbation expansion may be described by the conventional Korteweg-de Vries (KdV) equation. The evolution equation for the second-order term is ...