The occurrence of fouling layers in the flow of a yield stress fluid along a wavy-walled channel

Roustaei, A.; Frigaard, I.A.

doi:10.1016/j.jnnfm.2013.03.005

Cited by 51 publications

(44 citation statements)

References 32 publications

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“…Lubrication approximations have been investigated extensively for Newtonian fluids in confined geometries (e.g., [32,33]). For visco-plastic fluids, the limit of lubrication has also been investigated by various authors in different geometries (see [34] for film flows, [22][23][24]35] for confined geometries and [36,37] for experiments). In this case, the lubrication hypothesis becomes very restrictive essentially due to rigidity of the plug regions.…”

Section: Resultsmentioning

confidence: 99%

“…The present work relates to earlier work considering channel flow with periodically varying aperture [22][23][24]. In those articles, the authors investigated the validity of the lubrication approximation [25] which can become inconsistent with the presence of a unyielded plug along the center of the channel.…”

Section: Introductionmentioning

confidence: 90%

“…As example, following Frigaard et al [23,24] who considered an aperture varying according to a cosine function. We may then calculate I k (a, L) analytically.…”

Section: Periodic Aperture Variationsmentioning

confidence: 99%

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Effective rheology of Bingham fluids in a rough channel

2014

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We derive the volumetric flow rate vs. pressure drop of a Bingham fluid in one-dimensional channels of variable apertures in the lubrication approximation. A characteristic length scale, a * characterizing the flow is introduced in order to distinguish between a high and a low flow rate regime. We illustrate the calculation for channels with periodically varying apertures. We then go on to consider apertures that are self affine. We determine how the scaling properties of the aperture field is reflected in the effective flow equations. Finally, a series expansion for high and low flow rates that works very well over the entire range of flow rates is proposed. This truncated expansion allows us to predict the domain of validity of the two expansions by comparing a * to the aperture distribution.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 90%

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Effective rheology of Bingham fluids in a rough channel

2014

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“…The discretization in space is done with finite-differences on rectangular grids. As such, present work is complementary to [28,29] since it allows to compare the results between structured and non-structured grids discretizations. For completeness and reproducibility of the paper, we give in Appendix A the algorithms we implemented with Fortran 90 and MPI.…”

Section: Salient Features Of the Numerical Resultsmentioning

confidence: 99%

“…Let us mention the work of de Souza et al [7] which seems to be the first work close to the present study: they present experiments with Carbopol and compare with numerical solutions obtained with a regularization method. In addition, similar configurations are simulated in [28] and [29] using an AL method on unstructured meshes. Their code is implemented with the excellent Rheolef library [30] of Saramito and coworkers (see e.g.…”

Section: Introductionmentioning

confidence: 99%

Augmented Lagrangian simulations study of yield-stress fluid flows in expansion-contraction and comparisons with physical experiments

Marly

Vigneaux

2017

Journal of Non-Newtonian Fluid Mechanics

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We present numerical simulations of viscoplastic flows in expansion-contraction geometry and compare them with physical experiments of [Chevalier et al. Europhys. Lett. 102, 48002 (2013)] and [Luu et al. Phys. Rev. E 91, 013013 (2015)]. Numerical resolution is done with Augmented Lagrangian (following the Glowinski and coworkers' approach) and Finite-Differences (for the space discretization) methods. We show that good agreement is obtained between the numerical results and the physical experiments. In particular, we retrieve the slip line effect of Luu et al. and give numerical evidence of non-monotone shear effect in the boundary layer between the two unyielded regions in the cavity region. We also give some more detailed measures of the size of the plug and dead zones.

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Flow of non‐Newtonian fluids in pipes with large roughness

Graham

Pullum

2016

Can J Chem Eng

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Pipes with large roughnesses can occur due to erosion, corrosion, and scale. These roughnesses can be much larger than are accounted for in the Moody diagram. Experimental tests have shown that laminar flow of non‐Newtonian fluids in pipes with large roughnesses can be accurately predicted by using a constricted diameter, where the diameter measurement is taken as the typical minimum of the rough pipe. Turbulent flows of non‐Newtonian fluids are less accurately predicted by available methods and it is suggested that test work be performed if it is required to account for large pipe roughness.

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The occurrence of fouling layers in the flow of a yield stress fluid along a wavy-walled channel

Cited by 51 publications

References 32 publications

Effective rheology of Bingham fluids in a rough channel

Effective rheology of Bingham fluids in a rough channel

Augmented Lagrangian simulations study of yield-stress fluid flows in expansion-contraction and comparisons with physical experiments

Flow of non‐Newtonian fluids in pipes with large roughness

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