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.
| Original language | English |
|---|---|
| Pages (from-to) | 170-183 |
| Number of pages | 14 |
| Journal | Chaos, Solitons and Fractals |
| Volume | 109 |
| DOIs | |
| Publication status | Published - Apr 1 2018 |
| Externally published | Yes |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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Dissipative Mayer's waves in fluid-filled viscoelastic tubes. / Kamdem, Christel D.Bansi; Tabi, Conrad B.; Mohamadou, Alidou.
In: Chaos, Solitons and Fractals, Vol. 109, 01.04.2018, p. 170-183.Research output: Contribution to journal › Article
TY - JOUR
T1 - Dissipative Mayer's waves in fluid-filled viscoelastic tubes
AU - Kamdem, Christel D.Bansi
AU - Tabi, Conrad B.
AU - Mohamadou, Alidou
PY - 2018/4/1
Y1 - 2018/4/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85042684995&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85042684995&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2018.02.023
DO - 10.1016/j.chaos.2018.02.023
M3 - Article
VL - 109
SP - 170
EP - 183
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
SN - 0960-0779
ER -