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...

Abstract We study the existence of weak solutions to a Newtonian fluid?non-Newtonian fluid mixed-type equation $$ {u_{t}}= \operatorname{div} \bigl(b(x,t){ \bigl\vert {\nabla A(u)} \bigr\vert ^{p(x) - 2}}\nabla A(u)+\alpha (x,t)\nabla A(u) \bigr)+f(u,x,t). u t = <m...

lung injury and has low survival rates. More than 150,000 cases of ARDS are diagnosed every year in the US alone, according to the National Heart, Lung, and Blood Institute database. 1H nuclear magnetic resonance (NMR) has been a well-established technique for the recognition of biomarkers in various body fl uids [1]. Over last few decades, investigators have searched for novel biomarkers for t...

BACKGROUND Non-Newtonian fluids occur in many relevant flow and mixing scenarios at the lab and industrial scale. The addition of acid or basic solutions to a non-Newtonian fluid is not an infrequent operation, particularly in Biotechnology applications where the pH of Non-Newtonian culture broths is usually regulated using this strategy. METHODOLOGY AND FINDINGS We conducted mixing experimen...

Blood flow dynamics under physiologically realistic pulsatile conditions plays an important role in the growth, rupture, and surgical treatment of intracranial aneurysms. The temporal and spatial variations of wall pressure and wall shear stress in the aneurysm are hypothesized to be correlated with its continuous expansion and eventual rupture. In addition, the assessment of the velocity field...

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...

In this study, effects of numerous physical quantities like dissipation, thermal radiation, and induced magnetic field on magnetohydrodynamic Casson fluid flow through a vertical plate is addressed. The non-dimensional multivariable governing equations are solved numerically by by means of Runge-Kutta method along with shooting technique. The behavior of velocity, temperature and induced magnet...

background: apical leakage assessment is a way to compare the effi ciency of a fi lling material to seal the apical region of the tooth. many microleakage testing techniques have been introduced through the years, but there has been no agreement as to which technique gives the most accurate results. the aim of this study was to compare the accuracy of fl uid fi ltration and bacterial leakage te...

In this general lecture, we shall rst outline the way computational non-Newtonian uid mechanics di ers from conventional CFD. We do this by brie y outlining the major historical developments in this relatively new eld of science, which is conveniently called Computational Rheology. To illustrate essential features, we limit the discussion to the Oldroyd B, UCM and Phan-Thien/Tanner constitutive...