Rakhmatulin's Filtration Equation for Describing Blood Flow with Stenosis

Abstract

The study is devoted to the nature of blood flow with stenosis. The stenosis is modeled as a porous medium in order to apply the Rakhmatulin filtration model. Based on the penetrating model, considering the movement of particles immobile (immobile particles form stenosis), an equation describing the movement of blood with stenosis was obtained. Outside of stenosis, the equations turn into the Navier-Stokes equation. The resulting equations were solved numerically using the control method.The influence of the Reynolds number and the degree of stenosis on the nature of the flow on the behavior of blood is investigated.