# On some model equations for pulsatile flow in viscoelastic vessels

## TL;DR

This paper derives and analyzes asymptotic PDE models for pulsatile flow in viscoelastic vessels, incorporating viscous effects, and explores wave propagation numerically.

## Contribution

It introduces new PDE models for pulsatile flow in viscoelastic vessels, including viscous effects, and investigates wave behavior numerically.

## Key findings

- Viscoelasticity affects wave propagation characteristics.
- Viscous stresses influence pulse attenuation and speed.
- Numerical simulations reveal complex wave interactions.

## 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.