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  •   DSpace@Işık
  • 1- Fakülteler | Faculties
  • Fen Edebiyat Fakültesi / Faculty of Arts and Sciences
  • Matematik Bölümü / Department of Mathematics
  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics
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Forced KdV equation in a fluid-filled elastic tube with variable initial stretches

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Date

2009-11

Author

Demiray, Hilmi

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Citation

Demiray, H. (2009). Forced KdV equation in a fluid-filled elastic tube with variable initial stretches. Chaos, Solitons and Fractals, 42(3), 1388-1395. doi:10.1016/j.chaos.2009.03.067

Abstract

In this work, by utilizing the nonlinear equations of motion of an incompressible, isotropic thin elastic tube subjected to a variable initial stretches both in the axial and the radial directions and the approximate equations of motion of an incompressible inviscid fluid, which is assumed to be a model for blood, we have studied the propagation of nonlinear waves in such a medium under the assumption of long wave approximation. Employing the reductive perturbation method we obtained the variable coefficient forced KdV equation as the evolution equation. By use of proper transformations for the dependent field and independent coordinate variables, we have shown that this evolution equation reduces to the conventional KdV equation, which admits the progressive wave solution. The numerical results reveal that the wave speed is variable in the axial coordinate and it decreases for increasing circumferential stretch (or radius). Such a result seems to be plausible from physical considerations. We further observed that, the wave amplitude gets smaller and smaller with increasing time parameter along the tube axis.

Source

Chaos, Solitons and Fractals

Volume

42

Issue

3

URI

https://hdl.handle.net/11729/317
http://dx.doi.org/10.1016/j.chaos.2009.03.067

Collections

  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics [217]
  • Scopus İndeksli Makale Koleksiyonu [916]
  • WoS İndeksli Makale Koleksiyonu [933]

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