Filtreler

2004 - 20053
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Ayarlar

Scopus Q: Q1 × Konu: Kinematics ×

Arama Sonuçları

Listeleniyor 1 - 3 / 3
  • Küçük Resim
    Yayın
    Amplitude modulation of nonlinear waves in a fluid-filled tapered elastic tube
    (Elsevier Science Inc, 2004-07-15) Bakırtaş, İlkay; Demiray, Hilmi
    In the present work, treating the arteries as a tapered, thin walled, long and circularly conical prestressed elastic tube and using the reductive perturbation method, we have studied the amplitude modulation of nonlinear waves in such a fluid-filled elastic tube. By considering the blood as an incompressible inviscid fluid the evolution equation is obtained as the nonlinear Schrodinger equation with variable coefficients. 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 decreases with distance for tubes with descending radius while it increases for tubes with ascending radius.
  • Küçük Resim
    Yayın
    On the existence of some evolution equations in fluid-filled elastic tubes and their progressive wave solutions
    (Pergamon-Elsevier Science Ltd., 2004-09) Demiray, Hilmi
    In the present work, by employing the nonlinear equations of motion of an incompressible, isotropic and prestressed thin elastic tube and the approximate equations of an incompressible inviscid fluid, we studied the existence of some possible evolution equations in the longwave approximation and their progressive wave solutions. It is shown that, depending on the set of values of the initial deformation, it might be possible to obtain the conventional Korteweg-deVries (KdV) and the modified KdV equations of various forms. Finally, a set of progressive wave solutions is presented for such evolution equations.
  • Küçük Resim
    Yayın
    Weakly nonlinear waves in a viscous fluid contained in a viscoelastic tube with variable cross-section
    (Gauthier-Villars/Editions Elsevier, 2005-03) Demiray, Hilmi
    In the present work, treating the arteries as a thin walled prestressed viscoelastic tube with variable cross-section, and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in such a fluid-filled viscoelastic tube by employing the reductive perturbation method. By considering the blood as an incompressible viscous fluid, depending on the order of various physical entities, various evolution equations with variable coefficients are obtained and progressive wave solutions to these evolution equations are given whenever possible. It is shown that this type of equations admit solitary wave type of solutions with variable wave speeds.