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On some model equations for pulsatile flow in viscoelastic vessels

Dimitrios Mitsotakis 1 Denys Dutykh 2, 3, 4 Qian Li 1 Elijah Peach 
1 Victoria University of Wellington
2 LAMA - Laboratoire de Mathématiques
3 INSMI - Institut National des Sciences Mathématiques et de leurs Interactions
4 USMB [Université de Savoie] [Université de Chambéry] - Université Savoie Mont Blanc
Abstract : Considered here is the derivation of partial differential equations arising in pulsatile flow in pipes with viscoelastic walls. The equations are asymptotic models describing the propagation of long-crested pulses in pipes with cylindrical symmetry. Additional effects due to viscous stresses in bio-fluids are also taken into account. The effects of viscoelasticity of the vessels on the propagation of solitary and periodic waves in a vessel of constant radius are being explored numerically.
Keywords : Boussinesq systems blood flow viscoelastic vessel
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Submitted on : Tuesday, May 21, 2019 - 1:18:08 PM
Last modification on : Wednesday, November 3, 2021 - 6:17:37 AM

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Dimitrios Mitsotakis, Denys Dutykh, Qian Li, Elijah Peach. On some model equations for pulsatile flow in viscoelastic vessels. Wave Motion, Elsevier, 2019, 90, pp.139-151. ⟨10.1016/j.wavemoti.2019.05.004⟩. ⟨hal-02135521⟩

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