© 2019 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.
Preferred citationMitsotakis, D., Dutykh, D., Li, Q. & Peach, E. (2019). On some model equations for pulsatile flow in viscoelastic vessels. Wave Motion, 90(1), 139-151. https://doi.org/10.1016/j.wavemoti.2019.05.004
Journal titleWave Motion