in this paper, fluid flow between two parallel flat plates that are partially filled with two-dimension porous media is investigated numerically using single relaxation time (srt) lattice boltzmann method (lbm) at pore scale. the considered obstacles are random, circular, rigid and granular with uniform diameters. single component and single-phase viscous newtonian fluid are considered as worki...

We study a nonlinear fluid-structure interaction problem between an incompressible, viscous fluid in 3D and an elastic structure whose Lamé elastic parameters, thickness and density are all functions of space allowing jump discontinuities. This problem is motivated by studying the interaction between blood flow and arterial walls treated with vascular prostheses called stents. A stent is a meta...

In order to predict the jetting and the subsequent buckling flow more accurately, a three dimensional melt flow model was established on a viscous, incompressible, and non-isothermal fluid, and a control volume-based finite volume method was employed to discretize the governing equations. A two-fold iterative method was proposed to decouple the dependence among pressure, velocity, and temperatu...

In the present paper the investigation is undertaken to study the problem free convective heat and mass transfer flow of an incompressible viscous fluid over an infinite vertical porous plate embedded in a porous medium. The porous plate is subjected to transverse periodic suction velocity with the permeability fluctuating with time. The unsteadiness is due to time dependent porous medium as we...

We investigate the hydromagnetic effect on viscous incompressible flow between two horizontal parallel porous flat plates with transverse sinusoidal injection of the fluid at the stationary plate and its corresponding removal by periodic suction through the plate in uniform motion. The flow becomes three dimensional due to this injection/suction velocity. Approximate solutions are obtained for ...

An implicit muItigrid-driven algorithm for two-dimensional incompressible laminar viscous flows is coupled with a mesh adaptation method to better capture the important features of the flow for time dependent problems. Time dependent calculations are performed implicitly by regarding each time step as a steady-state problem in pseudotime. The method of artificial compressibility is used to solv...

We study adaptive nonlinear filtering in the Leray regularization model for incompressible, viscous Newtonian flow. The filtering radius is locally adjusted so that resolved flow regions and coherent flow structures are not ‘filtered-out’, which is a common problem with these types of models. A numerical method is proposed that is unconditionally stable with respect to timestep, and decouples t...

Abstract: In this paper, we consider the unsteady hydromagnetic incompressible viscous fluid flow through a porous medium in a horizontal channel under prescribed discharge, under the influence of inclined magnetic field. The undisturbed flow is due to a constant pressure gradient and the unsteadiness in the flow is created by imposing a time – dependent flux condition. The solutions for the ve...