We introduce a stabilized finite element method for the 3D non-Newtonian Navier–Stokes equations and a parallel domain decomposition method for solving the sparse system of nonlinear equations arising from the discretization. Non-Newtonian flow problems are, generally speaking, more challenging than Newtonian flows because the nonlinearities are not only in the convection term but also in the v...

We identify distinct mechanisms controlling slowing of nanoparticle diffusion through complex media featuring both rigid geometrical confinement and soft mobile crowders. Towards this end, we use confocal microscopy and single particle tracking to probe the diffusion of 400 nm nanoparticles suspended in Newtonian water, in a Newtonian glycerol/water mixture, or in a non-Newtonian polymer soluti...

The effect of non-Newtonian viscosity of blood on the steady and pulsatile flow in a straight rabbit femoral artery with various degrees of stenosis is investigated numerically using a finite element technique for the peak Reynolds numbers of 65 and 100. The Cross model is used to take into account the non-Newtonian viscosity of blood at various shear rates. The infiniteand zeroshear-rate visco...

This paper presents a numerical study of non-Newtonian effects on the solution of shape optimization problems involving unsteady pulsatile blood flow. We consider an idealized two dimensional arterial graft geometry. Our computations are based on the Navier-Stokes equations generalized to non-Newtonian fluid, with the modified Cross model employed to account for the shear-thinning behavior of b...

Direct numerical simulation of the weakly turbulent flow of non-Newtonian fluids is undertaken for two different generalised Newtonian rheology models using a spectral element-Fourier method. Results for a power law (shear-thinning) rheology agree well with experimentally determined logarithmic layer correlations and with other previously published experimental work. As the flow index becomes s...

Our focus in this paper is on natural exoge-nous actions (Pinto 23]), namely those which occur in response to known laws of physics, like a ball bouncing at times determined by Newtonian equations of motion. The property of such actions that we wish to capture is that they must occur at their predicted times, provided no earlier actions (natural or agent initiated) prevent them from occurring. ...

The Galerkin finite element method is used to solve the three dimensional continuity, momentum and energy equations for laminar Newtonian and power-law model non-Newtonian flow through horizontal circular tube. The governing equations are non-dimensionalized with respect to specific variables and converted into algebraic equations using appropriate elements. To accelerate convergence a combinat...

This study investigated the significance of symmetry and non-symmetry stenosis effects of blood flow and quantifies some of the most relevant non Newtonian characteristics of blood flow in blood vessels. The models studied in this work are the Newtonian and Non-Newtonian (Oldroyd-B) models, as well as their generalized (shear-thinning) modifications. The governing system of equations is based o...