On some model equations for pulsatile flow in viscoelastic vessels
Fluid Dynamics
2020-02-20 v1 Computational Physics
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.
Cite
@article{arxiv.1905.11989,
title = {On some model equations for pulsatile flow in viscoelastic vessels},
author = {Dimitrios Mitsotakis and Denys Dutykh and Qian Li and Elijah Peach},
journal= {arXiv preprint arXiv:1905.11989},
year = {2020}
}
Comments
18 pages, 6 figures, 40 references. Other author's papers can be downloaded at http://www.denys-dutykh.com/