Fluid flow between active elastic plates

Abstract

[Abstract]: We propose a model of a channel flow between actively moving elastic plates as a framework for blood flow in active human arteries. The main difference from extant models is that our model is autonomous. It is a nonlinear partial differential equation governing the deformation of the plates involving 6-th order spatial derivative. The pde has a similar structure to the equation we proposed earlier to simulate another active system—spinning combustion front.