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-CNRS - Institut National des Sciences Mathématiques et de leurs Interactions - CNRS Mathématiques
4 USMB [Université de Savoie] [Université de Chambéry] - Université Savoie Mont Blanc

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.

Mots clés: Boussinesq systems; blood flow; viscoelastic vessel

Domaines: Mécanique des fluides [physics.class-ph]; Dynamique des Fluides [physics.flu-dyn]; Physique Numérique [physics.comp-ph]; Equations aux dérivées partielles [math.AP]; Analyse numérique [math.NA]; Formation de Structures et Solitons [nlin.PS]; Systèmes Solubles et Intégrables [nlin.SI]

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