LATTICE BOLTZMANN SIMULATION OF A SINGLE CHARGED ELLIPTIC CYLINDER IN A NEWTONIAN FLUID

2004 ◽  
Vol 18 (17n19) ◽  
pp. 2757-2761 ◽  
Author(s):  
CAOYING ZHANG ◽  
HUILI TAN ◽  
MUREN LIU ◽  
LINGJIANG KONG ◽  
HAIPING FANG
Keyword(s):  
Newtonian Fluid ◽  
Lattice Boltzmann ◽  
Present Model ◽  
Elliptic Cylinder ◽  
Coulomb Force ◽  
Initial Condition ◽  
Two Dimensional ◽  
Dynamics Model ◽  
Lattice Boltzmann Simulation ◽  
Boltzmann Method

A two-dimensional dynamics model of an elliptic cylinder is derived by using the lattice Boltzmann method. With the present model, we have simulated the sedimentation of a single charged elliptic cylinder in a two-dimensional tube in a Newtonian fluid. Due to the polarizing effects and non-axial symmetry shape, there are the Coulomb force and the Coulomb torque on the elliptic cylinder during the sedimentation, which change its ordinary motion significantly. Comparing with the sedimentation of an un-charged elliptic cylinder under the same initial condition, we have further discussed the dynamics characteristics of the charged elliptic cylinder, and obtained some interesting results.

Lattice Boltzmann Simulation of Droplet Formation in Non-Newtonian Fluids

2015 ◽  
Vol 17 (4) ◽  
pp. 1056-1072 ◽  
Author(s):  
Y. Shi ◽  
G. H. Tang
Keyword(s):  
Newtonian Fluid ◽  
Power Law ◽  
Lattice Boltzmann ◽  
Droplet Formation ◽  
Continuous Phase ◽  
Droplet Generation ◽  
Bgk Model ◽  
Lattice Boltzmann Simulation ◽  
Power Law Exponent ◽  
Boltzmann Method

AbstractNewtonian and non-Newtonian dispersed phase droplet formation in non-Newtonian continuous phase in T-junction and cross junction microchannels are investigated by the immiscible lattice BGK model. The effects of the non-Newtonian fluid power-law exponent, viscosity and interfacial tension on the generation of the droplet are studied. The final droplet size, droplet generation frequency, and detachment point of the droplet change with the power-law exponent. The results reveal that it is necessary to take into account the non-Newtonian rheology instead of simple Newtonian fluid assumption in numerical simulations. The present analysis also demonstrates that the lattice Boltzmann method is of potential to investigate the non-Newtonian droplet generation in multiphase flow.

Two-dimensional decaying turbulence in confined geometries

2014 ◽  
Vol 05 (supp01) ◽  
pp. 1441008 ◽  
Author(s):  
Gabor Toth ◽  
Gabor Hazi
Keyword(s):  
Lattice Boltzmann ◽  
Regular Polygon ◽  
Numerical Approach ◽  
Initial Condition ◽  
Two Dimensional ◽  
Confined Geometries ◽  
Geometrical Constraints ◽  
Decaying Turbulence ◽  
Boltzmann Method ◽  
Physical Quantities

Several interesting phenomena have been observed simulating two-dimensional decaying turbulence in bounded domains. In this paper, an overview is given about our observations obtained by simulating freely decaying turbulence in different regular polygon shaped containers with no-slip walls. For these simulations the lattice Boltzmann method has been used as a numerical approach. The initial Reynolds number based on the container dimension was in the order of 10,000. The initial condition was the same in each simulation, therefore, we were able to compare the effect of geometrical constraints on the evolution of relevant physical quantities such as the kinetic energy and the enstrophy.

EFFECT OF MEMBRANE BENDING STIFFNESS ON THE DEFORMATION OF ELASTIC CAPSULES IN EXTENSIONAL FLOW: A LATTICE BOLTZMANN STUDY

2007 ◽  
Vol 18 (08) ◽  
pp. 1277-1291 ◽  
Author(s):  
Y. SUI ◽  
Y. T. CHEW ◽  
P. ROY ◽  
H. T. LOW
Keyword(s):  
Lattice Boltzmann ◽  
Present Model ◽  
Extensional Flow ◽  
Bending Stiffness ◽  
Immersed Boundary ◽  
Two Dimensional ◽  
Bending Rigidity ◽  
Elastic Membranes ◽  
Membrane Bending ◽  
Boltzmann Method

The transient deformation of liquid capsules enclosed by elastic membranes in two-dimensional extensional flow is studied numerically, using an improved immersed boundary-lattice Boltzmann method. The purpose of the present study is to investigate the effect of interfacial bending stiffness on the deformation of such capsules, under the subcritical elasticity capillary number conditions. The present model can simulate flow-induced deformation of capsules with arbitrary resting shapes (concerning the in-plane tension) and bending-free configurations. The deformation of capsules with initially circular, elliptical, and biconcave resting shapes was investigated in the present study; the capsules' bending-free configurations were considered as either circular shapes or their initially resting shapes. The results show that for capsules with bending-free configuration as circles, membrane bending rigidity has significant rounding effect on the steady deformed profiles. For elliptical and biconcave capsules with resting shapes as the bending-free configurations, it is found that with the bending stiffness increasing, the capsules' steady shapes are more akin to their initial shapes.

Sedimentation of a Single Charged Elliptic Cylinder in a Newtonian Fluid by Lattice Boltzmann Method

2004 ◽  
Vol 21 (6) ◽  
pp. 1108-1110 ◽  
Author(s):  
Zhang Chao-Ying ◽  
Shi Juan ◽  
Tan Hui-Li ◽  
Liu Mu-Ren ◽  
Kong Ling-Jiang
Keyword(s):  
Lattice Boltzmann Method ◽  
Newtonian Fluid ◽  
Lattice Boltzmann ◽  
Elliptic Cylinder ◽  
Boltzmann Method

LATTICE BOLTZMANN SIMULATION OF DEFORMABLE MEMBRANE IN FLUID

2003 ◽  
Vol 17 (01n02) ◽  
pp. 149-152
Author(s):  
HUABING LI ◽  
HAIPING FANG ◽  
ZHIFANG LIN
Keyword(s):  
Numerical Simulation ◽  
Lattice Boltzmann ◽  
Transient State ◽  
Critical Value ◽  
Two Dimensional ◽  
Membrane Tension ◽  
Soft Or ◽  
Lattice Boltzmann Simulation ◽  
Deformable Membrane ◽  
Boltzmann Method

A lattice Boltzmann method is proposed to simulate the two-dimensional membrane. Numerical simulation shows that at a critical value of membrane tension, the pattern of the membrane at transient state behaves like a standing wave with a node staying at rest. In addition, when the membrane is relatively soft or stiff, it will evolve into a steady-state close to its initial straight pattern.

scholarly journals Lattice Boltzmann Simulation of Natural Convection in an Annulus between a Hexagonal Cylinder and a Square Enclosure

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
L. El Moutaouakil ◽  
Z. Zrikem ◽  
A. Abdelbaki
Keyword(s):  
Natural Convection ◽  
Rayleigh Number ◽  
Cross Section ◽  
Lattice Boltzmann ◽  
Square Enclosure ◽  
Lattice Boltzmann Simulation ◽  
Laminar Natural Convection ◽  
Heat Transfers ◽  
Boltzmann Method ◽  
Vertical Case

Laminar natural convection in a water filled square enclosure containing at its center a horizontal hexagonal cylinder is studied by the lattice Boltzmann method. The hexagonal cylinder is heated while the walls of the cavity are maintained at the same cold temperature. Two orientations are treated, corresponding to two opposite sides of the hexagonal cross-section which are horizontal (case I) or vertical (case II). For each case, the results are presented in terms of streamlines, isotherms, local and average convective heat transfers as a function of the dimensionless size of the hexagonal cylinder cross-section (0.1≤B≤0.4), and the Rayleigh number (103≤Ra≤106).

scholarly journals Lattice Boltzmann simulation of two-sided lid-driven flow in deep cavities

2015 ◽  
pp. 157-168
Author(s):  
Natasa Lukic ◽  
Predrag Tekic ◽  
Jelena Radjenovic ◽  
Ivana Sijacki
Keyword(s):  
Aspect Ratio ◽  
Flow Pattern ◽  
Lattice Boltzmann ◽  
Reynolds Numbers ◽  
Critical Aspect ◽  
Symmetric Flow ◽  
Primary Vortex ◽  
Lattice Boltzmann Simulation ◽  
Boltzmann Method ◽  
Deep Cavities

The present study is concerned with two-sided lid-driven incompressible flow in rectangular, deep cavities applying lattice Boltzmann method. After validating the code for the square cavity, solutions for cavities with an aspect ratio 1.5 and 4 were obtained for the Reynolds numbers of 100, 400, 1000 and 3200. The influence of the Reynolds number and aspect ratio on the flow pattern and on the characteristics of vortices inside the cavity was studied. Symmetric flow pattern was obtained for all investigated cases. The middle of the cavity is mostly influenced by the increase in the aspect ratio. Critical aspect ratio, at which the birth of a primary vortex in the middle of the cavity takes place, was determined to be between 2.7 and 2.725.

scholarly journals Lattice Boltzmann simulation of liquid falling on horizontal rectangular pillar arrays

2021 ◽  
Vol 321 ◽  
pp. 01014
Author(s):  
Makoto Sugimoto ◽  
Tatsuya Miyazaki ◽  
Zelin Li ◽  
Masayuki Kaneda ◽  
Kazuhiko Suga
Keyword(s):  
Lattice Boltzmann ◽  
Three Dimensional ◽  
Phase Field Model ◽  
Flow Simulation ◽  
High Viscosity ◽  
Two Phase ◽  
Lattice Boltzmann Simulation ◽  
Pillar Arrays ◽  
Boltzmann Method ◽  
Behavior Characteristic

Stator coils of automobiles in operation generate heat and are cooled by a coolant poured from above. Since the behavior characteristic of the coolant poured on the coils is not clarified yet due to its complexity, the three-dimensional two-phase flow simulation is conducted. In this study, as a steppingstone to the simulation of the liquid falling on the actual coils, the coils are modelled with horizontal rectangular pillar arrays whose governing parameters can be easily changed. The two-phase flows are simulated using the lattice Boltzmann method and the phase-field model, and the effects of the governing parameters, such as the physical properties of the cooling liquid, the wettability, and the gap between the pillars, on the wetting area are investigated. The results show that the oil tends to spread across the pillars because of its high viscosity. Moreover, the liquid spreads quickly when the contact angle is small. In the case that the pillars are stacked, the wetting area of the inner pillars is larger than that of the exposed pillars.

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