Flow of elasto-viscoplastic thixotropic liquids past a confined cylinder

Fonseca, Cleiton Elsner da; Frey, Sérgio; Naccache, Mônica F.; Mendes, Paulo R. de Souza

doi:10.1016/j.jnnfm.2012.08.007

Cited by 21 publications

(17 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Clearly the extension to a Herschel-Bulkley model is straightforward (although the Cholesky factorization of the velocity matrix would not be possible anymore) and to thixotropic materials normally not too difficult either (depending on the mathematical complexity of the constitutive equation, see e.g [42] .). Incorporating elasticity below the yield stress might require a little more care [43,44] . But the main challenge is now computational, and our objective is primarily to look at 3D systems with more than a single particle.…”

Section: Summary and Perspectivesmentioning

confidence: 99%

Particle settling in yield stress fluids: Limiting time, distance and applications

Wachs

Frigaard

2016

Journal of Non-Newtonian Fluid Mechanics

View full text Add to dashboard Cite

Section: Summary and Perspectivesmentioning

confidence: 99%

Particle settling in yield stress fluids: Limiting time, distance and applications

Wachs

Frigaard

2016

Journal of Non-Newtonian Fluid Mechanics

View full text Add to dashboard Cite

“…Thus, possible future investigations could include increasing the values of Bn, α and β, and varying also the Re number, since Eqs. (14) and (15) show that decreasing Bn has a similar, but not identical, effect as increasing Re.…”

Section: Discussionmentioning

confidence: 96%

Thixotropic flow past a cylinder

Syrakos

Georgiou

Alexandrou

2015

Journal of Non-Newtonian Fluid Mechanics

View full text Add to dashboard Cite

We study the flow of a thixotropic fluid around a cylinder. The rheology of the fluid is described by means of a structural viscoplastic model based on the Bingham constitutive equation, regularised using the Papanastasiou regularisation. The yield stress is assumed to vary linearly with the structural parameter, which varies from zero (completely broken structure) to one (fully developed skeleton structure), following a first-order rate equation which accounts for material structure break-down and build-up. The results were obtained numerically using the Finite Element Method. Simulations were performed for a moderate Reynolds number of 45, so that flow recirculation is observed behind the cylinder, but vortex shedding does not occur. The effects of the Bingham number and of the thixotropy parameters are studied. The results show that the viscous character of the flow can be controlled within certain limits through these parameters, despite the fact that the Reynolds number is fixed.

show abstract

“…The equation is based on the Jeffreys (or Oldroyd-B) analog model, with variable coefficients, which depend on the structure level of the material, which in turn is a function of the stress level. A comparison of this model and previous ones is performed in de Souza Mendes and Thompson (2012), and some results are shown in dos Santos et al (2014), Martins et al (2013), Fonseca et al (2013). This work presents results and a discussion about the model and its applicability.…”

Section: Introductionmentioning

confidence: 95%

“…The flow of a thixotropic elasto-viscoplastic fluid through a cylinder between two parallel plates was investigated in Fonseca et al (2013). The cylinder radius R is the characteristic length, and the cylinder is positioned at the center of the channel, at a distance equal to L/R = 50 from the inlet.…”

Section: Flow Over a Bodymentioning

confidence: 99%

See 1 more Smart Citation

Performance of an elasto-viscoplastic model in some benchmark problems

Frey

Naccache

Mendes

et al. 2015

Mech Time-Depend Mater

Self Cite

View full text Add to dashboard Cite

A recent elasto-viscoplastic thixotropic model proposed by (de Souza Mendes in J. Non-Newton. Fluid Mech. 164:66-75, 2009; de Souza Mendes in Soft Matter 7:2471-2483, 2011) is applied to five benchmark problems: the flow in a lid cavity, the flow through an expansion followed by a contraction, the flow over a flat plate, the channel entry flow, and the flow around a cylinder confined between parallel plates. One of the main advantages of this approach is its ability to recover a model for elasto-viscoplastic materials in B M.F. Naccache a smooth fashion, i.e., in the limit where the characteristic thixotropic time tends to zero. These problems are numerically solved using the finite element method, with a four-field GLS-type formulation. While the simplified version is applied to the first three problems, the full model including thixotropy is applied to the channel entry flow and the flow around the cylinder. The elasto-viscoplastic problems analyzed show that, in general, elasticity tends to inhibit yielding and is more concentrated in unyielded regions. The thixotropic effects analyzed show that the delay in the microstructure response of the material significantly alters the problem when compared to the pure elasto-viscoplastic counterpart.

show abstract

Flow of elasto-viscoplastic thixotropic liquids past a confined cylinder

Cited by 21 publications

References 21 publications

Particle settling in yield stress fluids: Limiting time, distance and applications

Particle settling in yield stress fluids: Limiting time, distance and applications

Thixotropic flow past a cylinder

Performance of an elasto-viscoplastic model in some benchmark problems

Contact Info

Product

Resources

About