A computational fluid dynamics simulation study has been carried out for unsteady laminar flow in a planar 2D T-junction, using non-Newtonian viscoelastic fluids with characteristics similar to those of blood. In the large blood vessels, blood can be modelled as a Newtonian fluid, however in smaller vessels it exhibits non-Newtonian behaviour, showing a shear-thinning viscosity and, additionall...

Two different generalized Newtonian mathematical models for blood flow, derived for the same experimental data, are compared, together with the Newtonian model, in three different anatomically realistic geometries of saccular cerebral aneurysms obtained from rotational CTA. The geometries differ in size of the aneurysm and the existence or not of side branches within the aneurysm. Results show ...

The aim of this paper is to present a possible approach to modeling the influence of clot formation on blood flow in a vessel. The modeling framework adopted in this work is based on a modification of the fluid viscosity within the clot area. A non-Newtonian blood flow model in a three-dimensional straight vessel is considered and its numerical solution is obtained using a finite-volume method....

This paper describes the application of the Radial Functions Method to model and simulate polymer processing. The coupled system of energy and motion equations for laminar two-dimensional flows in steady state of incompressible non-Newtonian fluids is considered. The results delivered by RFM are compared with numerical results of other methods, and with analytical solutions based on simplified ...

In this paper, we study the pulsatile flow of blood through stenotic arteries. The inner layer of arterial walls is modeled as a porous medium and human blood is assumed as an incompressible fluid. A numerical algorithm based on the finite element method is developed to simulate the blood flow through both the lumen region and the porous wall. The algorithm is then applied to study the flow beh...

This paper presents a mathematical model for transient flow of the non-Newtonian power-law fluid in double porous media and fractal reservoir. By using Douglas-Jones predictor-corrector method, we obtain the solution for the constant rate condition at a single well in an infinite reservoir. The flow behavior is also analyzed. Finally, we discuss the pressure response to the various parameters. ...

The combined effects of Newtonian heating and magnetohydrodynamics (MHD) in a flow of a Jeffery fluid are analyzed in stagnation point flow over a radially stretching surface. The governing equations are modeled by invoking boundary layer analysis. The computed solution by a homotopy approach is valid in the spatial domain. Graphical results for the velocity and temperature fields are displayed...

Stokes flow produced by an oscillatory motion of a wall is analyzed in the presence of a nonNewtonian fluid. A total of eight non-Newtonian models are considered. A mass balance approach is introduced to solve the governing equations. The velocity and temperature profiles for these models are obtained and compared to those of Newtonian fluids. For the power law model, correlations for the veloc...