INTRODUCTION This paper represents the numerical simulation of blood flow in the circle of Willis (CoW). Circle of Willis is responsible for the oxygenated blood distribution into the cerebral mass. To investigate the blood behavior, two Newtonian and non-Newtonian viscosity models were considered and the results were compared under steady state conditions. METHODS Methodologically, the arter...

Applications of multiphase flows in microchannels as chemical and biological reactors cooling systems for microelectronic devices typically present liquid slugs alternated with bubbles elongated shape, the Taylor bubbles. These occupy almost entirely cross-section channel a hemispherical front layer, lubrication film, which separates gas from tube wall. The bubble perturbs surrounding fluids ac...

The formation of a thin film by (i) the slow penetration of a gas bubble into a liquid filled tube, (ii) the withdrawal of a planar substrate from a liquid filled gap, is investigated theoretically for the cases of both Newtonian and shear thinning liquids; the latter conforming to either a power law or Ellis model. Formulated as a boundary value problem underpinned by lubrication theory, the a...