Mathematical modeling of blood flows in the arteries is an important and challenging problem. This study investigates the pulsatile simulations of blood flow through two three-dimensional models of an arterial stenosis and an aneurysm. Four non-Newtonian blood models, namely the Power Law , Casson, Carreau and the Generalized Power Law, as well as the Newtonian model of blood viscosity, are use...

[1] The effect of rheology on the evolution of the slab-tip during subduction initiation is analyzed using 2-D numerical flow models. Experimentally determined flow laws have both strong temperatureand stress-dependence, which leads to large local variations in viscosity with direct consequences for subduction initiation. We find that models with Newtonian viscosity lead to flat or coupled subd...

The aim of this paper is to study the effect of slip velocity and shape of stenosis on non-Newtonian flow of blood through a stenosed arterial segment. Blood is modeled as Bingham-Plastic fluid in a uniform circular tube with a radially non-symmetric stenosis. The problem is investigated by a joint effort of analytical and numerical techniques. The influence of stenosis shape parameter, slip ve...

The slip-flow and heat transfer of a non-Newtonian nanofluid in a microtube is theoretically studied. The power-law rheology is adopted to describe the non-Newtonian characteristics of the flow, in which the fluid consistency coefficient and the flow behavior index depend on the nanoparticle volume fraction. The velocity profile, volumetric flow rate and local Nusselt number are calculated for ...

The reverse side of Helmholtz paradox is presented here. Helmholtz paradox itself had been formulated as follows: in the ideal (non-viscid) newtonian fluids any vorticity should be stable (constant) during infinite time. It means that if vortex arise in nonviscid newtonian fluid, such a vortex should have the constant strength all the time. In our note to Helmholtz paradox, we proved that Vorte...

Similarity analysis is made of the three dimensional incompressible laminar boundary layer flow of general class of non-Newtonian fluids. This work is an extension of previous analysis by Na and Hansen (1967), where the similarity solution of laminar three dimensional boundary layer equations of Power-law fluids was investigated. For the present flow situation, it is observed that the similarly...

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 ...

A spectral element—Fourier method (SEM) for Direct Numerical Simulation (DNS) of the turbulent flow of non-Newtonian fluids is described and the particular requirements for non-Newtonian rheology are discussed. The method is implemented in parallel using the MPI message passing kernel, and execution times scale somewhat less than linearly with the number of CPUs, however this is more than compe...

This study investigated fluid and structural responses to pulsatile non-Newtonian blood flow through a stenosed artery, using ANSYS. The artery was modeled as an axis-symmetric stenosed vessel. The wall of the vessel was set to be isotropic and elastic. The blood behavior was described by the Power Law and Carreau non-Newtonian models, respectively. When compared to the Newtonian flow models, t...

A mathematical model of non-Newtonian blood flow through a tapered stenotic artery is considered. The non-Newtonian model chosen is characterized by the generalized power-law model incorporating the effect of tapering due to the pulsatile nature of blood flow. The flow is assumed to be unsteady, laminar, two-dimensional and axisymmetric. The governing equations of motion in terms of the viscous...