Dynamics of particles suspended in a yield stress fluid flowing in a pipe

Merkak, Othmane; Jossic, Laurent; Magnin, Albert

doi:10.1002/aic.11454

Cited by 9 publications

(20 citation statements)

References 32 publications

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“…Thus, direct comparison is not possible. The results of Merkak et al (2008Merkak et al ( , 2009) do however suggest that non-local effects of the particles on the stress field may be felt within the plug region even for dilute suspensions. Other future areas for exploration include more realistic models for the yield stress fluids, e.g.…”

Section: Discussionmentioning

confidence: 90%

“…As well as a significant industrial literature there are some more targeted studies. Merkak and co-workers (Merkak, Jossic & Magnin 2008) have studied the behaviour of neutrally buoyant spheres in horizontal pipe flows of Carbopol. At relatively low concentrations of particles of 1/8th the pipe diameter they show that the translational velocity of the particles approaches that of the plug as the Bingham number increases.…”

Section: Discussionmentioning

confidence: 99%

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Macro-size drop encapsulation

et al. 2015

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Viscoplastic fluids do not flow unless they are sufficiently stressed. This property can be exploited in order to produce novel flow features. One example of such flows is viscoplastically lubricated (VPL) flow, in which a viscoplastic fluid is used to stabilize the interface in a multi-layer flow, far beyond what might be expected for a typical viscous-viscous interface. Here we extend this idea by considering the encapsulation of droplets within a viscoplastic fluid, for the purpose of transportation, e.g. in pipelines. The main advantage of this method, compared to others that involve capillary forces is that significantly larger droplets may be stably encapsulated, governed by the length scale of the flow and yield stress of the encapsulating fluid. We explore this set-up both analytically and computationally. We show that sufficiently small droplets are held in the unyielded plug of a Poiseuille flow (pipe or plane channel). As the length or radius of the droplets increases, the carrier fluid eventually yields, potentially breaking the encapsulation. We study this process of breaking and give estimates for the limiting size of droplets that can be encapsulated.

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Section: Discussionmentioning

confidence: 90%

Section: Discussionmentioning

confidence: 99%

Macro-size drop encapsulation

et al. 2015

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“…Experimental studies of a laminar flow of a suspension of spheres in a gelled fluid through a sudden expansion (Jossic et al, 2002;Magnin, 2004, 2005) revealed migration and segregation of inclusions that can be employed to create organized structures. Time dependent interaction of close rigid spheres in a pipe flow of yield stress fluid was recently studied by Horsleya et al (2004), Merkak et al (2006Merkak et al ( , 2008 and Gumulya et al (2007).…”

Section: Introductionmentioning

confidence: 99%

Motion of viscous drops in tubes filled with yield stress fluid

Lavrenteva

Holenberg

Nir

2009

Chemical Engineering Science

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“…47,48 In the case of a pure visco-plastic (VP) suspending fluid, there is an abundance of computational studies of single and multiple particles. [49][50][51][52][53] Full 3D suspension flows for VP fluids are time consuming, and thus limited to a few benchmark calculations and lower mesh resolutions. 54,55 However, 2D suspension flows are feasible.…”

Section: Discussionmentioning

confidence: 99%

Computational modeling of multiphase viscoelastic and elastoviscoplastic flows

Izbassarov

Rosti

Ardekani

et al. 2018

Numerical Methods in Fluids

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Summary In this paper, a three‐dimensional numerical solver is developed for suspensions of rigid and soft particles and droplets in viscoelastic and elastoviscoplastic (EVP) fluids. The presented algorithm is designed to allow for the first time three‐dimensional simulations of inertial and turbulent EVP fluids with a large number particles and droplets. This is achieved by combining fast and highly scalable methods such as an FFT‐based pressure solver, with the evolution equation for non‐Newtonian (including EVP) stresses. In this flexible computational framework, the fluid can be modeled by either Oldroyd‐B, neo‐Hookean, FENE‐P, or Saramito EVP models, and the additional equations for the non‐Newtonian stresses are fully coupled with the flow. The rigid particles are discretized on a moving Lagrangian grid, whereas the flow equations are solved on a fixed Eulerian grid. The solid particles are represented by an immersed boundary method with a computationally efficient direct forcing method, allowing simulations of a large numbers of particles. The immersed boundary force is computed at the particle surface and then included in the momentum equations as a body force. The droplets and soft particles on the other hand are simulated in a fully Eulerian framework, the former with a level‐set method to capture the moving interface and the latter with an indicator function. The solver is first validated for various benchmark single‐phase and two‐phase EVP flow problems through comparison with data from the literature. Finally, we present new results on the dynamics of a buoyancy‐driven drop in an EVP fluid.

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Dynamics of particles suspended in a yield stress fluid flowing in a pipe

Cited by 9 publications

References 32 publications

Macro-size drop encapsulation

Macro-size drop encapsulation

Motion of viscous drops in tubes filled with yield stress fluid

Computational modeling of multiphase viscoelastic and elastoviscoplastic flows

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