Modelling of Bingham-like fluids with deformable core

Fusi, Lorenzo; Farína, Angiolo

doi:10.1016/j.camwa.2006.02.033

Cited by 10 publications

(5 citation statements)

References 26 publications

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“…A new model for elastoviscoplastic fluid flows that is objective and satisfies the second law of thermodynamics is proposed in (7). It extends the previous elastoviscoplatic model introduced in [26] by introducing a power-law index n > 0.…”

Section: Resultsmentioning

confidence: 99%

“…A number of other closely related models have appeared in the literature and an historical presentation in 2005 is available in [26]. More recently, in 2007, Fusi and Farina [7] proposed a new model that combines an elastic solid before yielding and a Newtonian fluid after yielding. Based on an explicit description of the free surface separating the solid and the fluid parts, this model leads to complex formulations and computations, even for some simple shear flows such as the Poiseuille flow.…”

Section: Introductionmentioning

confidence: 98%

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A new elastoviscoplastic model based on the Herschel–Bulkley viscoplastic model

Saramito

2009

Journal of Non-Newtonian Fluid Mechanics

199

152

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a b s t r a c tThe aim of this paper is to introduce a new three-dimensional elastoviscoplastic model that combines both the Oldroyd viscoelastic model and the Herschel-Bulkley viscoplastic model with a power-law index n > 0. The present model is derived to satisfy the second law of thermodynamics. Various fluids of practical interest, such as liquid foams, droplet emulsions or blood, present such elastoviscoplastic behavior: at low stress, the material behaves as a viscoelastic solid, whereas at stresses above a yield stress, the material behaves as a fluid. When n = 1, a recently introduced elastoviscoplastic model proposed by the author is obtained. When 0 < n < 1, then the plasticity criteria becomes smooth, the elongational viscosity is always well defined and the shear viscosity shows a shear thinning behavior. This is a major improvement to the previous elastoviscoplastic model. Finally, when n > 1, the material exhibits the unusual shear thickening behavior.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

A new elastoviscoplastic model based on the Herschel–Bulkley viscoplastic model

Saramito

2009

Journal of Non-Newtonian Fluid Mechanics

199

152

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“…These last decades, several studies, for example, Refs. , have proposed to take into account the elastic behavior leading to elasto‐viscoplastic models. More recently, several studies have focused on the gels behavior below yielding.…”

Section: Discussionmentioning

confidence: 99%

Natural convection in shear‐thinning yield stress fluids in a square enclosure

Magnin

Métivier

2015

AIChE Journal

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International audienceThe influence of viscoplastic rheological features on the Rayleigh-Bénard convection is investigated by numerical means in order to compare with first experimental results given by Darbouli et al. The fluid is modeled by a regularized Herschel-Bulkley law which is often used to fit numerous pasty fluids. Natural convection in a two-dimensional square cavity heated from below is considered. Critical values of Oldroyd number Od and yield number Y are provided. Numerical results highlight a stabilizing effect of the yield stress as well as a destabilizing effect of increasing shear-thinning coefficient n as the increase in n enhances the heat transfer in the range of our calculations. Unyielded regions are located in the square corners of the cavity and in the cavity where convection occurs. The unyielded zones size increases with the increase in Od and can invade all the cavity for sufficiently large values of Od

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“…Because of ( 16) equation ( 18) is identically satisfied. From (14) 1 we find P ox = (S 12 ) y , while, from (9), it is easy to check that at the leading order…”

Section: The Zero Order Approximationmentioning

confidence: 90%