A Numerical Study of a Three-Layered Model for the Flow of Jeffrey Fluid in Small Blood Vessels

This study presents the numerical analysis of a three-layer model of blood flow in small blood vessels. The three-layer model is used to simulate blood flow because it accurately depicts blood flow in vessels with a diameter of less than 100 \(\mu \) m. This model consists of a core region, cell-free region of plasma close to the wall, a central region. In the central region, blood is treated as Jeffrey fluid. A second-order finite difference method is used to solve the governing coupled partial differential equations numerically in all regions with boundary and matching conditions. The obtained numerical results for the proposed model of flow characteristics are compared to existing results. The graphs have been plotted using MATLAB. This study reveals that the slip velocity ( \(u_s\) ), Jeffrey viscosity parameter (k), and Jeffrey viscosity index (m) have a significant influence on flow variables such as velocity, flow rate, and flow resistance involved in the problem.