A Level-Set Method for Computing Solutions to Viscoelastic Two-Phase Flow

Pillapakkam, Shriram; Singh, Pushpendra

doi:10.1006/jcph.2001.6927

Cited by 133 publications

(115 citation statements)

References 26 publications

(44 reference statements)

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“…24 (and also in Refs. [11][12][13] are limited to small density and viscosity ratios, apparently due to numerical instability. In practice, however, results obtained at large density ratios are more common in realworld situations.…”

Section: Large Density and Viscosity Ratio Resultsmentioning

confidence: 99%

“…Several grid-based Eulerian and Lagrangian methods have successfully been used in the past for this purpose. [11][12][13] During the last couple of decades, meshless methods such as smoothed particle hydrodynamics (SPH) have been used with great success for this purposethanks to their ease of tracking interfaces undergoing large deformations. 14) In its original form, the method treats fluids fluid dynamics problems such as fluid-solid interaction 15) , Rayleigh-Taylor instability 16) , multi-phase flow 17) , and free surface flows of Newtonian 18) and viscoelastic fluids 19) have been solved by the SPH method.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On the Use of SPH Method for Simulating Gas Bubbles Rising in Viscoelastic Liquids

Vahabi

Sadeghy

2015

J. Soc. Rheol., Jpn

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The upward motion and deformation of a single large-scale two-dimensional planar gas bubble rising in an otherwise quiescent viscoelastic liquid obeying the Oldroyd-B rheological model is numerically investigated using the weakly-compressible smoothed particle hydrodynamics (WC-SPH) method. It is shown that unlike the incompressible version of this mesh-less method (I-SPH), the WC-SPH method combined with the continuum surface force (CSF) idea for modelling surface tension is well capable of capturing the cusped-shape trailing edge during its rise in viscoelastic liquids. The failure of the I-SPH method for predicting the cusp is attributed to the several stages of weighted arithmetic and harmonic interpolations used for smoothing the transport parameters of the constituents. The WC-SPH code developed in the present work has enabled us to obtain results at high density and viscosity ratios not reported in similar works. The results suggest that WC-SPH is better suited than I-SPH for handling bubble rise problem in viscoelastic liquids even at large density and viscosity ratios typical of underwater explosions.

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Section: Large Density and Viscosity Ratio Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On the Use of SPH Method for Simulating Gas Bubbles Rising in Viscoelastic Liquids

Vahabi

Sadeghy

2015

J. Soc. Rheol., Jpn

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“…The numerical results presented here were obtained using a code based on the finite element method, with features described in [19][20][21][22][23]. The governing (fluid and electric field) time dependent equations are solved simultaneously everywhere, i.e., both inside and outside the drop in the computational domain, to obtain the steady solution.…”

Section: Electric Field Distribution For a Dielectric Drop Placed In mentioning

confidence: 99%

Concentrating particles on drop surfaces using external electric fields

et al. 2008

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We propose to use an externally applied uniform electric field to alter the distribution of particles on the surface of a drop immersed in another immiscible liquid. Specifically, we seek to generate well-defined concentrated regions at the drop surface while leaving the rest of the surface particle free. Experiments show that when the dielectric constant of the drop is greater than that of the ambient liquid the particles for which the Clausius-Mossotti factor is positive move along the drop surface to the two poles of the drop. Particles with a negative Clausius-Mossotti factor, on the other hand, move along the drop surface to form a ring near the drop equator. The opposite takes place when the dielectric constant of the drop is smaller than that of the ambient liquid, namely particles for which the Clausius-Mossotti factor is positive form a ring near the equator while those for which such a factor is negative move to the poles. This motion is due to the dielectrophoretic force that acts upon particles because the electric field on the surface of the drop is nonuniform, despite the uniformity of the applied electric field. Experiments also show that when small particles collect at the poles of a deformed drop the electric field needed to break the drop is smaller than without particles. These phenomena could be useful to concentrate particles at a drop surface within well-defined regions (poles and equator), separate two types of particles at the surface of a drop or increase the drop deformation to accelerate drop breakup.

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“…A lot of numerical simulation techniques have been developed to simulate such flows such as level-set methods, 17,19 penalty based method, 23 discrete element models (DEM), 15,16,20 population balance based models 2,4 and distributed Lagrange multiplier (DLM) fictitious domain methods. 6,12,18,24 In these methods, continuity and momentum equations govern the fluid flow and the motion of particles are modeled by the Newton-Euler equations.…”

Section: Introductionmentioning

confidence: 99%

Analysis of solid particles falling down and interacting in a channel with sedimentation using fictitious boundary method

et al. 2018

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We have examined the behavior of solid particles in particulate flows. The interaction of particles with each other and with the fluid is analyzed. Solid particles can move freely through a fixed computational mesh using an Eulerian approach. Fictitious boundary method (FBM) is used for treating the interaction between particles and the fluid. Hydrodynamic forces acting on the particle’s surface are calculated using an explicit volume integral approach. A collision model proposed by Glowinski, Singh, Joseph and coauthors is used to handle particle-wall and particle-particle interactions. The particulate flow is computed using multigrid finite element solver FEATFLOW. Numerical experiments are performed considering two particles falling and colliding and sedimentation of many particles while interacting with each other. Results for these experiments are presented and compared with the reference values. Effects of the particle-particle interaction on the motion of the particles and on the physical behavior of the fluid-particle system has been analyzed.

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A Level-Set Method for Computing Solutions to Viscoelastic Two-Phase Flow

Cited by 133 publications

References 26 publications

On the Use of SPH Method for Simulating Gas Bubbles Rising in Viscoelastic Liquids

On the Use of SPH Method for Simulating Gas Bubbles Rising in Viscoelastic Liquids

Concentrating particles on drop surfaces using external electric fields

Analysis of solid particles falling down and interacting in a channel with sedimentation using fictitious boundary method

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