Bubble rise dynamics in a viscoplastic material

Tripathi, Manoj Kumar; Sahu, Kirti Chandra; Karapetsas, George; Matar, Omar

doi:10.1016/j.jnnfm.2014.12.003

Cited by 54 publications

(26 citation statements)

References 29 publications

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“…The most popular numerical modeling for fluid/fluid flows are arbitrary Lagrangian-Eulerian/mesh deforming methods (Fullsack, 1995;Szabo and Hassager, 1997;Alexandrou et al, 2003) volume-of-fluid (Hirt and Nichols, 1981;Allouche et al, 2000;Hormozi et al, 2011;Tripathi et al, 2015;Liu et al, 2016), level set (Sussman et al, 1994;Singh and Denn, 2008;Nikitin et al, 2011) or front tracking (Unverdi and Tryggvason, 1992;Vola et al, 2004). For fluid/solid flows there are arbitrary Lagrangian-Eulerian/mesh deforming methods (Fullsack, 1995), lattice-Boltzmann (Ladd and Verberg, 2001;Prashant and Derksen, 2011), immersed boundary (Mittal and Iaccarino, 2005) and fictitious domain with distributed Lagrange multiplier (Yu and Wachs, 2007;Wachs and Frigaard, 2016).…”

Section: Two-phase Flowsmentioning

confidence: 99%

“…The third class of problems that has been extensively studied over the past 20 years is the gravity-driven motion of dispersed droplet/bubble or solid particle in an otherwise quiescent yield stress fluid (Roquet and Saramito, 2003;Nirmalkar et al, 2013Nirmalkar et al, , 2014Bose et al, 2014;Singh and Denn, 2008;Tsamopoulos et al, 2008;Prashant and Derksen, 2011;Dimakopoulos et al, 2013;Tripathi et al, 2015;Maleki et al, 2015;Wachs and Frigaard, 2016). Actually, numerical works can be sorted into two sub-categories: (i) methods that really treat freely-moving droplet/bubble or solid particle, and (ii) methods in which the problem is formulated in the droplet/bubble/particle frame of reference or as the flow past a motionless droplet/bubble/particle.…”

Section: Two-phase Flowsmentioning

confidence: 99%

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Progress in numerical simulation of yield stress fluid flows

2017

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Numerical simulations of viscoplastic fluid flows have provided a better understanding of fundamental properties of yield stress fluids in many applications relevant of natural and engineering sciences. In the first part of this paper, we review the classical numerical methods for the solution of the non-smooth viscoplastic mathematical models, highlight their advantages and drawbacks, and discuss more recent numerical methods that show promises for fast algorithms and accurate solutions. In the second part, we present and analyze a variety of applications and extensions involving viscoplastic flow simulations: yield slip at the wall, heat transfer, thixotropy, granular materials, combining elasticity, with multiple phases and shallow flow approximations. We illustrate from a physical viewpoint how fascinating the corresponding rich phenomena pointed out by these simulations are.

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Section: Two-phase Flowsmentioning

confidence: 99%

Section: Two-phase Flowsmentioning

confidence: 99%

Progress in numerical simulation of yield stress fluid flows

2017

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“…Numerical investigation of the problem proves to be equally challenging. The existing works model the material rheology using either Bingham or Herschel-Bulkley constitutive equations [6,7,9,10,21,52]. Both these models predict a discontinuity of the viscosity at the yield surface, the location of which is unknown in flows that are 2D, 3D or timedependent.…”

Section: Introductionmentioning

confidence: 99%

Oscillations of small bubbles and medium yielding in elastoviscoplastic fluids

et al. 2019

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We investigate the radial oscillations of small gas bubbles trapped in yield-stress fluids and driven by an acoustic pressure field. We model the rheological behavior of the yield-stress fluid using the recently developed elasto-visco-plastic (EVP) constitutive equation that takes into account the elastic and visco-plastic deformations of the material [P. Saramito, J. NonNewton. Fluid Mech.158 (1-3) (2009) pp. 154161]. Assuming that the bubble remains spherical during the pressure driving, we reduce the problem to a set of ODEs and an integrodifferential equation, which we solve numerically for the case of two yield stress fluids, a soft Carbopol gel and a stiffer Kaolin suspension.We find that, depending on the amplitude and frequency of the pressure field, the radial oscillations of the bubble produce elastic stresses that may or may not suffice to yield the surrounding material.We evaluate the critical amplitude of the acoustic pressure required to achieve yielding and we find a good agreement between numerical simulations and an analytical formula derived under the assumption of linear deformations. Finally, we examine the bubble oscillation amplitude for a very wide range of applied pressures both below and above the critical value to assess the impact of yielding on the bubble dynamics. This analysis could be used to identify a signature of yielding in experiments where the radial dynamics of a bubble is measured. More generally, these results can be used to rationalize the optimal conditions for pressure-induced bubble release from yield-stress fluids, which is relevant to various biomedical and industrial applications, including oil industry and food processing.

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“…These works show that bubble shape and displacement are a result of the contribution of buoyancy, viscous forces, inertia and surfacetension. The presence of shear thinning, yield stress and elasticity play also an important role (Dubash and Frigaard (2004); Dubash and Frigaard (2007); Zhang et al (2010); Fraggedakis et al (2016); Funfschilling and Li (2001); Sikorski et al (2009); Lopez et al (2017); Lind and Phillips (2010); Premlata et al (2017); Amirnia et al (2013); Smolianski et al (2008); Tripathi et al (2015); Tsamopoulos et al (2008); Xu et al(2017)). Despite all these and other relevant works, the displacement phenomena is not completely understood.…”

Section: Introductionmentioning

confidence: 99%

Air Bubbles Displacement in Yield Stress Fluids

Naccache

Abdu

Abreu

2020

JAFM

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The motion of air bubbles in a yield stress fluid is analyzed numerically using a 2D approach and the finite volume technique. The multiphase flow is simulated using the volume of fluid method (VoF), which solves the conservation equations of mass and momentum coupled to a transport equation for the volume fraction of the fluids. The effects of yield stress, bubble size, number and position of bubbles rising in a viscoplastic fluid confined between vertical parallel plates are analyzed and discussed. The results indicate that the yield stress has great impact on the rising velocity. In the case of multiple bubbles flowing vertically, it is observed that the displacement of one bubble influences the rising velocity of the others, causing them to approach each other. As the distance between the bubbles increases the interference is reduced and the bubbles begin to flow as single ones. When two bubbles are horizontally positioned, they can approach or move away from each other, depending on the initial distance between them. Furthermore, the bubbles shape is analyzed as a function of the governing parameters. It is observed that for lower Reynolds number the bubbles present a circular shape, but as inertia increases the bubble becomes ellipsoidal.

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Bubble rise dynamics in a viscoplastic material

Cited by 54 publications

References 29 publications

Progress in numerical simulation of yield stress fluid flows

Progress in numerical simulation of yield stress fluid flows

Oscillations of small bubbles and medium yielding in elastoviscoplastic fluids

Air Bubbles Displacement in Yield Stress Fluids

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