Title of article :
Numerical simulation of arterial pulse propagation using autonomous models
Author/Authors :
Mohammed, Mayada G. Department of Mathematics - College of Education for Pure Sciences - University of Thi-Qar, Thi-Qar, Iraq , Jassim, Hassan Kamil Department of Mathematics - College of Education for Pure Sciences - University of Thi-Qar, Thi-Qar, Iraq
Abstract :
We present a model of the fluid flow between elastic walls simulating arteries actively interacting with the blood. The lubrication theory for the flow is coupled with the pressure and shear stress from the walls. The resulting nonlinear partial differential equation describes the displacement of the walls as a function of the distance along the flow and time.
Keywords :
channel flow , elastic , pulses
Journal title :
International Journal of Nonlinear Analysis and Applications
