Dissipative Mayer's waves in fluid-filled viscoelastic tubes

Journal article

Authors/Editors

Tabi, Condrad

Research Areas

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Publication Details

Author list: Kamdem CDB, Tabi CB, Mohamadou A

Publisher: Elsevier

Place: OXFORD

Publication year: 2018

Journal: Chaos, Solitons and Fractals (0960-0779)

Journal acronym: CHAOS SOLITON FRACT

Volume number: 109

Start page: 170

End page: 183

Number of pages: 14

ISSN: 0960-0779

eISSN: 1873-2887

Languages: English-Great Britain (EN-GB)

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Abstract

Wave propagation in a viscoelastic tube filled with viscous fluid is addressed. We show that the dissipative Navier-Stokes equations can asymptotically be reduced to a pair of nonlinearly coupled complex Ginzburg-Landau equations. Modulational instability is then investigated analytically and numerically. The instability domain, using the growth rate, is shown to be importantly dependent on the vessel relative stiffness and fluid viscosity. A comprehensive analysis is proposed to that effect, which is confirmed by direct numerical simulations. Dissipative trains of impulses are found as the main manifestation of modulational instability and results are recorded for some hemodynamic factors such as the pressure, velocity and vessel cross-section. (C) 2018 Elsevier Ltd. All rights reserved.

Keywords

Arterial stiffness, Blood flow, Blood viscosity, Complex Ginzburg-Landau equation

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