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.

Keywords

Bibliographic record

BibTeX Citation

@article{Mitsotakis2019somemodel,
  author = {Mitsotakis, D. and Li, Q. and Peach, E. and Dutykh, D.},
  title = {On some model equations for pulsatile flow in viscoelastic vessels},
  journal = {Wave Motion},
  year = {2019},
  volume = {90},
  pages = {139--151},
  doi = {10.1016/j.wavemoti.2019.05.004},
  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}
}