Study of pulsatile pressure-driven electroosmotic flows through an elliptic cylindrical microchannel with the Navier slip condition

This paper aims to study an unsteady electric field-driven and pulsatile pressure-driven flow of a Newtonian fluid in an elliptic cylindrical microchannel with Navier boundary wall slip. The governing equations of the slip flow and distributions of electric potential and charge densities are the modified Navier-Stokes equations, the Poisson equation and the Nernst-Planck equations, respectively. Analytical and numerical analyses based on the Mathieu and modified Mathieu equations are performed to investigate the interplaying effects of pulsatile pressure gradients and the slip lengths on the electroosmotic flow

Numerical simulation of Blood flow in the system of human coronary arteries with stenosis

This paper aims to present three-dimensional simulation of blood behavior in the system of human coronary arteries. The mathematical model is a set of partial differential equations including continuity equation and Navier-Stokes equations. The pulsatile conditions due to the heart pump during a cardiac cycle is imposed on the boundaries. Computational domain consists of the base of aorta, the left and the right coronary arteries. Finite element method is applied for the solution of the mathematical model Blood flow and temperature distribution in coronary system with normal arteries and stenosed arteries are computed. The results show that the appearance of stenosis reduces blood flow rate in the stenosed artery

Numerical Simulation of Blood Flow Through the System of Coronary Arteries with Diseased Left Anterior Descending

This paper aims to study the arterial stenosis effect on blood flow problem in the system of coronary arteries. Blood is assumed to be non-Newtonian incompressible fluid. The system of coronary arteries with diseased Left Anterior Descending (LAD) is considered. Governing equations are the Navier-Stokes equations and continuity equation subjected to the time-dependent pulsatile boundary conditions. Based on finite element method, the solution of the governing equations is solved numerically. Disturbances of blood flow through the diseased LAD for the restrictions of 25%, 50% and 75% are investigated. Flow characteristics, wall pressure and wall shear ratehave been studied in detail. Numerical studies show that blood flow with high speed and pressure rapidly drops in the area supplied by the stenosed artery. As the degree of coronary-artery stenosis increases, the maximal coronary flow decreases

Oscillating pressure-driven slip flow and heat transfer through an elliptical microchannel

© 2019, The Author(s). This paper studies the transient slip flow and heat transfer of a fluid driven by the oscillatory pressure gradient in a microchannel of elliptic cross section. The boundary value problem for the thermal-slip flow is formulated based on the assumption that the fluid flow is fully developed. The semi-analytical solutions of velocity and temperature fields are then determined by the Ritz method. These solutions include some existing known examples as special cases. The effects of the slip length and the ratio of minor to major axis of the elliptic cross section on the velocity and temperature distribution in the microchannel are investigated