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On some model equations for pulsatile flow in viscoelastic vessels

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.
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Submitted on : Tuesday, May 21, 2019 - 1:18:08 PM
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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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