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...

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 ...

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...

The study of the flow of a Newtonian fluid in a porous medium and the dispersion of markers has been the subject of numerous works after Taylor and Saffman. Characteristics of the flow of a non-Newtonian fluid have not been investigated as much. In this

In this paper, the Ritz-Galerkin method in Bernstein polynomial basis is applied for solving the nonlinear problem of the magnetohydrodynamic (MHD) flow of third grade fluid between the two plates. The properties of the Bernstein  polynomials together with the Ritz-Galerkin method are used to reduce the solution of the MHD Couette flow of non-Newtonian fluid in a porous medium to the solution o...

The paper presents results of an experimental study of the fluid velocity field in a stirred tank equipped with a Prochem Maxflo T (PMT) type impeller which was rotating at a constant frequency of N = 4.1 or 8.2 s-1 inducing transitional (Re = 499 or 1307) or turbulent (Re = 2.43 × 104) flow of the fluid. The experiments were performed for a Newtonian fluid (water) and a non-Newtonian fluid (0....

A general mathematical model that predicts the flow fields in a mixed-flow anaerobic digester was developed. In this model, the liquid manure was assumed to be a non-Newtonian fluid, and the flow governed by the continuity, momentum, and k-epsilon standard turbulence equations, and non-Newtonian power law model. The commercial computational fluid dynamics (CFD) software, Fluent, was applied to ...

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...

New fundamental solutions for micropolar fluids are derived in explicit form for twoand threedimensional steady unbounded Stokes and Oseen flows due to a point force and a point couple, including the two-dimensional micropolar Stokeslet, the twoand three-dimensional micropolar Stokes couplet, the three-dimensional micropolar Oseenlet, and the three-dimensional micropolar Oseen couplet. These fu...

The purpose of this work is to study the effect of oscillatory MHD blood flow in stenosed artery. The analytical and numerical results are obtained for oscillatory MHD blood flow, which is assumed to be a Newtonian fluid. It was also assumed that the surface roughness is of cosine shaped and the maximum height of roughness is negligible, compared with the radius of un-constricted tube. The flui...