In this study, inelastic constitutive modelling is considered for the simulation of shear-thinning fluids through a circular channel. Numerical solutions are presented for power-law inelastic model, considering axisymmetric Poiseuille flow through a channel. The numerical simulation of such fluid is performed by using the Galerkin finite element approach based on artificial compression method (...

The subject of the study is outflow fluid from a channel consisting segments with different geometries used to improve thermal and hydraulic characteristics. Research methods are based on Newton's rheological law; continuity equation Navier-Stokes equation, which basic equations flow; method mathematical modeling analytical its solutions. In article, generalized formulas for determining hydrody...

Abstract

We illustrate the convenience of a long-lasting microgravity environment to study flows of granular materials with and without gas interaction. We consider collisional granular flows of nearly elastic identical spheres in an axisymmetric Couette channel featuring two cylindrical moving bumpy boundaries and two flat walls. We review governing equations for these flows, illustrate their solutions...

The authors have previously presented a mathematical model to predict transit time of a neutrophil through an alveolar capillary segment which was modeled as an axisymmetric arc-shaped constriction settled in a cylindrical straight pipe to investigate the influence of entrance curvature of a capillary on passage of the cell. The axially asymmetric cross section of a capillary also influences th...

We present twoand three-dimensional models of space charge in intense charged-particle beams using Green’s functions. In particular, we compute the electrostatic Green’s function for a periodic collinear distribution of point charges located inside of a perfectly conducting drift tube. As applications of the Green’s function description, we analyze the matching and transport of an initially axi...

In this study, the momentum and energy equations of laminar flow of a non-Newtonian fluid are solved in an axisymmetric porous channel using the least square and Galerkin methods. The bottom plate is heated by an external hot gas, and a coolant fluid is injected into the channel from the upper plate. The arising nonlinear coupled partial differential equations are reduced to a set of coupled no...