Mechanisms of Non-Newtonian Polymer Flow Through Porous Media Using Navier–Stokes Approach

2014 ◽  
Vol 36 (3) ◽  
pp. 310-325 ◽  
Author(s):  
Nematollah Zamani ◽  
Roland Kaufmann ◽  
Pawel Kosinski ◽  
Arne Skauge
2016 ◽  
Vol 26 (05) ◽  
pp. 1650086
Author(s):  
Tingting Tang ◽  
Zhiyong Li ◽  
J. M. McDonough ◽  
P. D. Hislop

In this paper, a discrete dynamical system (DDS) is derived from the generalized Navier–Stokes equations for incompressible flow in porous media via a Galerkin procedure. The main difference from the previously studied poor man’s Navier–Stokes equations is the addition of forcing terms accounting for linear and nonlinear drag forces of the medium — Darcy and Forchheimer terms. A detailed numerical investigation focusing on the bifurcation parameters due to these additional terms is provided in the form of regime maps, time series, power spectra, phase portraits and basins of attraction, which indicate system behaviors in agreement with expected physical fluid flow through porous media. As concluded from the previous studies, this DDS can be employed in subgrid-scale models of synthetic-velocity form for large-eddy simulation of turbulent flow through porous media.


2016 ◽  
Vol 52 (3) ◽  
pp. 2279-2298 ◽  
Author(s):  
R. Farajzadeh ◽  
P. Bedrikovetsky ◽  
M. Lotfollahi ◽  
L. W. Lake

Author(s):  
Manuel Hasert ◽  
Joerg Bernsdorf ◽  
Sabine Roller

In this work, we present single-step aeroacoustic calculations using the Lattice Boltzmann method (LBM). Our application case consists of the prediction of an acoustic field radiating from the outlet of a porous media silencer. It has been proved that the LBM is able to simulate acoustic wave generation and propagation. Our particular aim is to validate the LBM for aeroacoustics in porous media. As a validation case, we consider a spinning vortex pair emitting sound waves as the vortices rotate around a common centre. Non-reflective boundary conditions based on characteristics have been adopted from Navier–Stokes methods and are validated using the time evolution of a Gaussian pulse. We show preliminary results of the flow through the porous medium.


2003 ◽  
Vol 1 (3) ◽  
pp. 432-457 ◽  
Author(s):  
Alain Bourgeat ◽  
Olivier Gipouloux ◽  
Eduard Marusic-Paloka

Sign in / Sign up

Export Citation Format

Share Document