Simulation of buoyant bubble motion in viscous flows employing lattice Boltzmann and level set methods

Mehravaran, Meisam; Hannani, Siamak Kazemzadeh

doi:10.1016/j.scient.2011.03.018

Cited by 16 publications

(7 citation statements)

References 31 publications

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“…As contrary to the previous works in [4], the special discretization of force, employed in this work, results in very low order of spurious velocities around the interface and also accurate recovery of the pressure, e. g. in the case of Laplace law for a static bubble. This will directly affect the correct prediction of the bubble shape deformation at dynamic problems as seen in the following.…”

Section: Numerical Examplementioning

confidence: 82%

“…On the other hand, a new trend in the development of multiphase LB models is to confine the LB equation to solve for the flow and let a second PDE track the interface. The idea is motivated from the fact that in single bubble or droplet problems, a sharp realization of the instantaneous position of the interface at very high density/viscosity differences and large Eo numbers is of paramount importance [4], [6]. In this paper we follow the general idea in the one-fluid approach of Mehravaran and Hannani [4], except that we introduce a consistent discretization of the force where the accurate realization of the pressure jumps across the interface is crucial in case of high density and viscosity differences.…”

Section: Introductionmentioning

confidence: 99%

“…The idea is motivated from the fact that in single bubble or droplet problems, a sharp realization of the instantaneous position of the interface at very high density/viscosity differences and large Eo numbers is of paramount importance [4], [6]. In this paper we follow the general idea in the one-fluid approach of Mehravaran and Hannani [4], except that we introduce a consistent discretization of the force where the accurate realization of the pressure jumps across the interface is crucial in case of high density and viscosity differences. We evaluate the accuracy of the model by performing benchmark computations based on the finite element solutions for the rising bubble problems as provided using the FeatFLOW package in [3].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Rising bubble simulations using lattice Boltzmann method coupled with level set interface capturing

Safi

Turek

2014

Proc Appl Math and Mech

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A multiphase Lattice Boltzmann (LB) scheme coupled with a level set interface capturing module is used for the simulation of multiphase flows, and in particular, rising bubbles under moderate and high density and viscosity ratios. We employ a consistent, robust discretization of the pressure forces which enables us to preserve stability and accuracy. The accuracy of the present scheme is shown to be competitive with that of the benchmark data from the finite element solutions in [3].

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Section: Numerical Examplementioning

confidence: 82%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Rising bubble simulations using lattice Boltzmann method coupled with level set interface capturing

Safi

Turek

2014

Proc Appl Math and Mech

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“…The studied system comprised 99 % oxygen gas bubbles in liquid water and water‐carboxymethylcellulose mixtures similar to the systems experimentally studied by Kuck et al 14. Mehravaran and Kazemzadeh 15 used a hybrid lattice Boltzmann LS method applied to simulate two‐phase fluid flows with up‐to‐1000 density ratios and up‐to‐100 viscosity ratios, obtaining consistency with other numerical and experimental results. Deshpande and Zimmerman 16 simulated a rising droplet by the LS method and a new approach for studying the mass transfer across the moving droplet, obtaining mass transfer coefficients across the range of low Reynolds numbers.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Single‐Bubble Dynamics in High‐Viscosity Ionic Liquids Using the Level‐Set Method

et al. 2015

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Two numerical models for studying the dynamics of formation and rise of single bubbles in high-viscosity ionic liquids were implemented using the level-set method. The models describe two stages of bubble dynamics: bubble formation at the inlet nozzle and bubble displacement across the column. The models were experimentally validated through a laboratory-scale bubble column using water-glycerol mixtures and two imidazolium-type ionic liquids. The models were consistent with the experimental tests for Reynolds numbers < 5. Outside this range, the models tend to underestimate the bubble terminal velocity, which can be explained by the effect of the high velocity and pressure gradients close to the gasliquid interface. The models also predicted the velocity and pressure fields near the bubble surface before and after detachment.

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“…It was demonstrated that the augmentation of Richardson number causes heat transfer to increase, as the heat transfer decreases by the increment of Hartmann number for various Richardson numbers and the directions of the magnetic field. The LBM is an applicable method for simulating fluid flow and heat transfer [30][31][32][33][34]. This method was also applied to simulate the MHD [35] and, recently, nanofluid [36] successfully.…”

Section: Introductionmentioning

confidence: 99%

MHD natural convection in a nanofluid-filled cavity with linear temperature distribution

Mahmoudi

Mejri

AmmarAbbassi

et al. 2014

JCM

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This paper examines the natural convection in a square enclosure filled with a water-Al2O3 nanofluid which is under the influence of an external magnetic field. The bottom wall is uniformly heated and vertical walls are linearly heated whereas the top wall is well insulated. Lattice Boltzmann method (LBM) is applied to solve the coupled equations of flow and temperature fields. This study has been carried out for the pertinent parameters in the following ranges: Rayleigh number of the base fluid, Ra = 10 3 to 10 5 , Hartmann number varied from Ha = 0 to 60, the inclination angle of the magnetic field relative to the horizontal plane γ = 0 • to 180 • and the solid volume fraction of the nanoparticles between φ = 0 and 6%. The results show that the heat transfer rate increases with an increase of the Rayleigh number but it decreases with an increase of the Hartmann number. Also for Ra 5×10 4 and for the range of Hartmann number study, we note that the heat transfer and fluid flow depends strongly upon the direction of magnetic field. In addition, according the Hartmann number, it observed that the magnetic field direction controls the effects of nanoparticles. A. Mahmoudi et al. / MHD natural convection in a nanofluid-filled cavity with linear temperature distribution

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Simulation of buoyant bubble motion in viscous flows employing lattice Boltzmann and level set methods

Cited by 16 publications

References 31 publications

Rising bubble simulations using lattice Boltzmann method coupled with level set interface capturing

Rising bubble simulations using lattice Boltzmann method coupled with level set interface capturing

Numerical Simulation of Single‐Bubble Dynamics in High‐Viscosity Ionic Liquids Using the Level‐Set Method

MHD natural convection in a nanofluid-filled cavity with linear temperature distribution

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