scholarly journals A Generalized Lattice Boltzmann Method for Three-Dimensional Incompressible Fluid Flow Simulation

2009 ◽  
Vol 2 (01) ◽  
Author(s):  
Quan Liao ◽  
Tien-Chien Jen

In this paper, a new pressure boundary treatment of lattice Boltzmann method (LBM) for fully developed pressure-driven periodic incompressible fluid flow is proposed. The pressure gradient, instead of equivalent body force, has been applied to determine the particle distribution function on the periodic traverse sections for the fully developed pressure-driven periodic flow. Numerical simulations, including 2D pressure-driven Poiseuille flow and fluid flow passing square obstacles, are carried out using this new boundary treatment. Simulation results show that the proposed approach not only overcomes the nonphysical inlet and outlet flow disturbances (which the LBM simulation always suffers from using the existing pressure boundary methods), but also preserves the system periodicity and generates consistent pressure distribution with macroscopic periodic boundary conditions for the pressure-driven incompressible fluid flow.


2009 ◽  
Vol 58 (5) ◽  
pp. 1062-1070 ◽  
Author(s):  
Markus Stürmer ◽  
Jan Götz ◽  
Gregor Richter ◽  
Arnd Dörfler ◽  
Ulrich Rüde

Author(s):  
Alireza Rahimi ◽  
Abbas Kasaeipoor ◽  
Emad Hasani Malekshah ◽  
Mohammad Mehdi Rashidi ◽  
Abimanyu Purusothaman

Purpose This study aims to investigate the three-dimensional natural convection and entropy generation in a cuboid enclosure filled with CuO-water nanofluid. Design/methodology/approach The lattice Boltzmann method is used to solve the problem numerically. Two different multiple relaxation time (MRT) models are used to solve the problem. The D3Q7–MRT model is used to solve the temperature field, and the D3Q19 is used to solve the fluid flow of natural convection within the enclosure. Findings The influences of different Rayleigh numbers (103 < Ra < 106) and solid volume fractions (0 < f < 0.04) on the fluid flow, heat transfer, total entropy generation, local heat transfer irreversibility and local fluid friction irreversibility are presented comprehensively. To predict thermo–physical properties, dynamic viscosity and thermal conductivity, of CuO–water nanofluid, the Koo–Kleinstreuer–Li (KKL) model is applied to consider the effect of Brownian motion on nanofluid properties. Originality/value The originality of this work is to analyze the three-dimensional natural convection and entropy generation using a new numerical approach of dual-MRT-based lattice Boltzmann method.


Sign in / Sign up

Export Citation Format

Share Document