A lattice Boltzmann model for thermal non-Newtonian fluid flows through porous media

2018 ◽  
Vol 176 ◽  
pp. 226-244 ◽  
Author(s):  
GH.R. Kefayati ◽  
H. Tang ◽  
A. Chan ◽  
X. Wang
Keyword(s):  
Porous Media ◽  
Newtonian Fluid ◽  
Lattice Boltzmann ◽  
Fluid Flows ◽  
Lattice Boltzmann Model ◽  
Flows Through Porous Media ◽  
Boltzmann Model

Incompressible lattice Boltzmann model for axisymmetric flows through porous media

2015 ◽  
Vol 26 (04) ◽  
pp. 1550036 ◽  
Author(s):  
Fumei Rong ◽  
Baochang Shi
Keyword(s):  
Porous Media ◽  
Distribution Function ◽  
Lattice Boltzmann ◽  
Incompressible Flows ◽  
Lattice Boltzmann Model ◽  
Large Pressure ◽  
Flows Through Porous Media ◽  
Simple Processing ◽  
Boltzmann Model ◽  
Good Agreement

In this paper, an axisymmetric LBE model for incompressible flows through porous media is proposed. In this model, the influence of density change caused by large pressure difference can be overcome by replacing density distribution function with pressure distribution function. A more simple processing format for external force is introduced so as to make the involved method in this paper more perfect. The coupling between flow velocity and pressure also can be significantly reduced when calculating the macroscopic quantities. Good agreement between the analytical solution and numerical results is also obtained based on this model and it also can provide guidance for other problem with such complicated force forms.

POROUS SUBSTRATE EFFECTS ON THERMAL FLOWS THROUGH A REV-SCALE FINITE VOLUME LATTICE BOLTZMANN MODEL

2014 ◽  
Vol 25 (02) ◽  
pp. 1350086 ◽  
Author(s):  
AHAD ZARGHAMI ◽  
SILVIA DI FRANCESCO ◽  
CHIARA BISCARINI
Keyword(s):  
Porous Media ◽  
Finite Volume ◽  
Lattice Boltzmann ◽  
Fluid Flows ◽  
Lattice Boltzmann Model ◽  
Parametric Studies ◽  
Boltzmann Method ◽  
Thermal Lattice Boltzmann ◽  
Boltzmann Model ◽  
Thermal Flows

In this paper, fluid flows with enhanced heat transfer in porous channels are investigated through a stable finite volume (FV) formulation of the thermal lattice Boltzmann method (LBM). Temperature field is tracked through a double distribution function (DDF) model, while the porous media is modeled using Brinkman–Forchheimer assumptions. The method is tested against flows in channels partially filled with porous media and parametric studies are conducted to evaluate the effects of various parameters, highlighting their influence on the thermo-hydrodynamic behavior.

Lattice Boltzmann model for incompressible axisymmetric thermal flows through porous media

2016 ◽  
Vol 94 (4) ◽  
Author(s):  
Kods Grissa ◽  
Raoudha Chaabane ◽  
Zied Lataoui ◽  
Adel Benselama ◽  
Yves Bertin ◽  
...  
Keyword(s):  
Porous Media ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Flows Through Porous Media ◽  
Boltzmann Model ◽  
Thermal Flows

A lattice Boltzmann model for thermal flows through porous media

2016 ◽  
Vol 108 ◽  
pp. 66-75 ◽  
Author(s):  
Lingquan Wang ◽  
Zhong Zeng ◽  
Liangqi Zhang ◽  
Haiqiong Xie ◽  
Gongyou Liang ◽  
...  
Keyword(s):  
Porous Media ◽  
Lattice Boltzmann ◽  
Lattice Boltzmann Model ◽  
Flows Through Porous Media ◽  
Boltzmann Model ◽  
Thermal Flows

Effects of Non-Newtonian Fluid Characteristics on Flow Dynamics in Polymer Flooding: a Lattice Boltzmann Study

2021 ◽  
Author(s):  
Bei Wei ◽  
Jian Hou ◽  
Ermeng Zhao
Keyword(s):  
Porous Media ◽  
Shear Rate ◽  
Newtonian Fluid ◽  
Power Law ◽  
Lattice Boltzmann ◽  
Polymer Flooding ◽  
Lattice Boltzmann Model ◽  
Fluid Viscosity ◽  
Power Law Fluid ◽  
Boltzmann Model

Abstract The flow dynamics of non-Newtonian fluid in porous media is much different from the Newtonian fluid. In this work, we establish a lattice Boltzmann model for polymer flooding taking into both the power law fluid properties and viscoelastic fluid properties. Using this model, we investigate the viscosity distribution in porous media, the local apparent permeability in porous media, and the effect of elastic force on the remaining oil in dead ends. Firstly, we build a single phase lattice Boltzmann model to evolve the fluid velocity field. Then the viscosity and shear rate in each lattice can be calculated based on the relaxation time and velocity field. We further make the fluid viscosity change with the shear rate according to the power-law fluid constitutive equation, consequently establish the lattice Boltzmann model for power law fluid. Moreover, we derive the Maxwell viscoelastic fluid model in integral form using Boltzmann superposition principle, and the elastic force is calculated from the divergence of the stress tensor. We then couple the elastic force into the lattice Boltzmann model by Newton's second law, and finally establish the lattice Boltzmann model of the viscoelastic fluid. Both the models are validated against analytical solutions. The simulation results show that when the power-law index is smaller than 1, the fluid viscosity shows a distribution of that viscosity is higher in pore center and lower near the wall; while when the index is larger than 1, the fluid viscosity shows a opposite distribution. This is because the pore center has a high velocity but a low shear rate, while the boundary has a low velocity but a high shear rate. Moreover, the local apparent permeability decreases with the power law index, and the number of hyper-permeable bands also decreases. In addition, the local permeability shows pressure gradient dependence. Considering the viscoelasticity effects, the displacement fluid has a clear tendency to sweep deeply into the dead end, which improves the oil washing efficiency of the dead end. The model provides a pore scale simulation tool for polymer flooding and help understand the flow mechanisms and enhanced oil recovery mechanisms during polymer flooding.

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