Viscoplastic squeeze flow between two identical infinite circular cylinders

Koblitz, Arndt Ryo; Lovett, Sean; Nikiforakis, Nikolaos

doi:10.1103/physrevfluids.3.023301

Cited by 18 publications

(9 citation statements)

References 37 publications

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“…Coarsegrain approaches for Newtonian fluids use lubrication force models as sub-grid-scale models for the under-resolved particle interactions. However, the authors recently found that such lubrication models cannot be straightforwardly applied in cases where particles are strongly confined in their yield envelopes such as may occur in sedimentation without imposed shear [26]. This necessitates direct numerical simulation.…”

Section: Mathematical Formulation and Solutionmentioning

confidence: 99%

“…In order to make the larger problem sizes considered in this study tractable we adopt a quasi-steady approximation, as in [14], and employ an overset grid discretization strategy. The grid generation procedure is discussed at length in [36,37], and has been used for Newtonian and viscoplastic particulate flow problems by the authors in [26,38]. The resultant linear system is inverted using the MUMPS massively parallel direct linear solver library [39].…”

Section: Mathematical Formulation and Solutionmentioning

confidence: 99%

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Direct numerical simulation of particle sedimentation in a Bingham fluid

Koblitz¹,

Lovett

Nikiforakis³

2018

Phys. Rev. Fluids

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The settling efficiency, and stability with respect to settling, of a dilute suspension of infinite circular cylinders in a quiescent viscoplastic fluid is examined by means of direct numerical simulations with varying solid volume fraction, φ, and yield number, Y . For Y sufficiently large we find higher settling efficiency for increasing φ, similar to what is found in shear-thinning fluids and opposite to what is found in Newtonian fluids. The critical yield number at which the suspension is held stationary in the carrier fluid is found to increase monotonically with φ, while the transition to settling is found to be diffuse: in the same suspension, particle clusters may settle while more isolated particles remain arrested. In this regime, complex flow features are observed in the sedimenting suspension, including the mobilization of lone particles by nearby sedimentation clusters. Understanding this regime, and the transition to a fully arrested state, is relevant to many industrial and natural problems involving the sedimentation of viscoplastic suspensions under quiescent flow conditions. * A.R. Koblitz acknowledges financial support from the EPSRC Centre for Doctoral Training in Computational Methods for Materials Science under grand EP/L015552/1.; This work was supported by Schlumberger Cambridge Research Limited.; ark44@cam.ac.uk arXiv:1806.04513v1 [physics.flu-dyn]

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Section: Mathematical Formulation and Solutionmentioning

confidence: 99%

Section: Mathematical Formulation and Solutionmentioning

confidence: 99%

Direct numerical simulation of particle sedimentation in a Bingham fluid

Koblitz¹,

Lovett

Nikiforakis³

2018

Phys. Rev. Fluids

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“…Jossic and Magnin produced some results [32] of two Modelling and Simulation in Engineering cylinders by fixing the range of the Bingham number up to 40. Recently, Koblitz et al [33] investigated the hydrodynamic forces for very high values of Bn. Calder and Yezzi [34] considered a rate of convergence and application for obstacle problems.…”

Section: Outletmentioning

confidence: 99%

Flow of the Bingham-Papanastasiou Regularized Material in a Channel in the Presence of Obstacles: Correlation between Hydrodynamic Forces and Spacing of Obstacles

Mehmood

Mahmood

Majeed

et al. 2021

Modelling and Simulation in Engineering

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The numerical modeling and simulation for the stationary Bingham fluid flow around two confined circular cylinders with various gap ratios are studied. The singularity in the model’s apparent viscosity is dealt by Papanastasiou’s regularization. The model equations are discretized by adopting the methodology based on finite element method (FEM) by choosing a mixed higher order LBB-stable P 2 − P 1 finite element pair. The direct solver PARADISO has been utilized to solve the linearized system of equations. Hydrodynamic forces represented by drag and lift coefficients are computed, and a correlation coefficient is calculated for the gap ratios 0.1 ≤ G p ≤ 0.3 and for several values of the Bingham number 0 ≤ B n ≤ 50 . Line graphs for horizontal and vertical velocities are drawn. Moreover, velocity and pressure profiles are plotted for pertinent values of the parameters. Plug and shear zones are revealed via velocity snapshots in the domain. Pressure is nonlinear in the vicinity of the obstacles and becomes linear downstream in the cylinders as expected in channel flows.

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“…They also investigated the influence of the slip condition on the drag forces. In the recent research, Koblitz et al [25] presented the results of DNS simulations of interacting circular cylinders in three different cases whereas a Bingham fluid was changed between 0-2000 and the separation distance was kept constant at 1% of the cylinder radius in which the flow type was so called squeeze flow. They showed that the asymptotic lubrication solution is used in presence of the macroscopic flow assumption.…”

Section: Of 13mentioning

confidence: 99%

On the Interaction of Side-By-Side Circular Cylinders in Viscoplastic Fluids

Hamedi

Westerberg

2019

Fluids

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In this paper, the static interaction of a train of three cylinders in a Bingham fluid is studied numerically using Computational Fluid Dynamics. The variation of drag forces for the cylinders in several configurations is investigated. Positions of the particles in relation to the reference particle are recognized by the separation distance between the cylinders. A steady state field is considered, with Bingham numbers between 5 and 150. Several separation distances (d) were considered, such that 2.0D ≤ d ≤ 6.0D where D is the cylinder diameter. The Reynolds number was chosen in the range of 5 ≤ Re ≤ 40. In particular, the effect of the separation distance, Reynolds number and Bingham number on the shape and size of the unyielded regions was investigated. The functional dependence of this region and the drag coefficient is explored. The present results reveal the significant influence of the gap between the cylinders on the drag force and the shape of the unyielded regions surrounding the cylinders. It was found that there are several configurations in which the drag forces over the first and the third cylinders are almost equal depending on variation of the Bi, Re and the separation distance.

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Viscoplastic squeeze flow between two identical infinite circular cylinders

Cited by 18 publications

References 37 publications

Direct numerical simulation of particle sedimentation in a Bingham fluid

Direct numerical simulation of particle sedimentation in a Bingham fluid

Flow of the Bingham-Papanastasiou Regularized Material in a Channel in the Presence of Obstacles: Correlation between Hydrodynamic Forces and Spacing of Obstacles

On the Interaction of Side-By-Side Circular Cylinders in Viscoplastic Fluids

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