Slip at Fluid-Solid Interface

Sochi, Taha

doi:10.1080/15583724.2011.615961

Cited by 154 publications

(87 citation statements)

References 233 publications

(1,623 reference statements)

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“…For instance, sorption mechanisms associated with electrostatic forces often lead to a cushion of polymer molecules that can strongly affect the macroscale flow (see Brochard and Gennes (1992)) for a description of different regimes). On the other hand, repulsion mechanisms-originating from a variety of phenomena such as steric hindrance (Joanny et al 1979), electrostatic repulsion (Uematsu 2015), or migration of polymer molecules away from high-shear regions (Cuenca and Bodiguel 2013)-can lead to a depletion layer close to the solid/liquid interface ((see Auvray (1981)) and the very good reviews from Barnes (1995) or Sochi (2011) for more details). The concentration of polymer is then lower in the depletion layer than in the bulk, leading to a lower viscosity in the vicinity of the wall.…”

Section: Introductionmentioning

confidence: 99%

“…To do so, different tools are available. Molecular dynamics approaches, often with simple molecules, are useful to understand the fundamental physics at the molecular level (Rouse 1953;Joshi et al 2000;Sochi 2011). However, simulations cannot yet be performed on sufficiently large volumes to model flow in porous media, especially in the case of polymer solutions.…”

Section: Introductionmentioning

confidence: 99%

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Polymer Flow Through Porous Media: Numerical Prediction of the Contribution of Slip to the Apparent Viscosity

et al. 2017

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OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible. This is an author-deposited version published in : http://oatao.univ-toulouse.fr/ Eprints ID : 18221 Abstract The flow of polymer solutions in porous media is often described using Darcy's law with an apparent viscosity capturing the observed thinning or thickening effects. While the macroscale form is well accepted, the fundamentals of the pore-scale mechanisms, their link with the apparent viscosity, and their relative influence are still a matter of debate. Besides the complex effects associated with the rheology of the bulk fluid, the flow is also deeply influenced by the mechanisms occurring close to the solid/liquid interface, where polymer molecules can arrange and interact in a complex manner. In this paper, we focus on a repulsive mechanism, where polymer molecules are pushed away from the interface, yielding a so-called depletion layer in the vicinity of the wall. This depletion layer acts as a lubricating film that may be represented by an effective slip boundary condition. Here, our goal is to provide a simple mean to evaluate the contribution of this slip effect to the apparent viscosity. To do so, we solve the pore-scale flow numerically in idealized porous media with a slip length evaluated analytically in a tube. Besides its simplicity, the advantage of our approach is also that it captures relatively well the apparent viscosity obtained from core-flood experiments, using only a limited number of inputs. Therefore, it may be useful in many applications to rapidly estimate the influence of the depletion layer effect over the macroscale flow and its relative contribution compared to other phenomena, such as nonNewtonian effects.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Polymer Flow Through Porous Media: Numerical Prediction of the Contribution of Slip to the Apparent Viscosity

et al. 2017

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“…The lower consistency is by Barnes [3] suggested to be due to oil separation between the base oil and the grease thickener agent. The concept of wall slip can be divided into two categories: i) true slip, where there is a discontinuity in the velocity field at the fluid-solid interface, and ii) apparent slip, where there is an inhomogeneous thin layer of a fluid adjacent to the wall with different rheological properties to the bulk of fluid enabling fluid movement [27]. Li et al [19] also showed that in a free-surface flow oil bleeding is present where the grease is sheared.…”

Section: Wall Slip and Flow Evolution In The Elbow Channelmentioning

confidence: 99%

Grease flow in an elbow channel

Westerberg

Farré-Lladós

et al. 2015

Tribol Lett

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Lubricating greases are materials characterized by a complex nonNewtonian rheology. This study is a continuation of previous studies on the coupling between grease rheology and grease flow in a straight channel-and concentric cylinder geometry. The problem has been modeled and validated with experiments. Here the flow in an elbow channel introducing a non-symmetric distribution of shear stress throughout the cross section of the channel elbow, as well as varying shear rates through the transition from the channel inlet to the outlet. The flow has been modeled both for higher flow rates and for creep flow. The influence of the grease rheology and flow conditions to wall slip, shear banding and an observed stick-slip type of motion observed for low flow rates are presented. The effect on the flow of the applied pressure is also investigated showing that the flow is sensitive to the pressure in the angular (ϕ) direction of the elbow. For high flow rates it is shown that flow separation occur with a resulting circulation in the elbow.

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“…For Ellis fluids, the volumetric flow rate as a function of the pressure drop in a circular cylindrical tube with a constant radius over its length assuming a laminar incompressible flow with no slip at the tube wall [51] is given by the following equation [22,52] …”

Section: Ellis Modelmentioning

confidence: 99%

Flow of non‐Newtonian fluids in converging–diverging rigid tubes

Sochi

2015

Asia-Pacific J Chem Eng

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A residual‐based lubrication method is used to find the flow rate and pressure field in converging‐diverging rigid tubes for the flow of time‐independent category of non‐Newtonian fluids. Five converging‐diverging prototype geometries were used in this investigation in conjunction with two fluid models: Ellis and Herschel‐Bulkley. The method was validated by convergence behavior sensibility tests, convergence to analytical solutions for the straight tubes as special cases for the converging‐diverging tubes, convergence to analytical solutions found earlier for the flow in converging‐diverging tubes of Newtonian fluids as special cases for non‐Newtonian, and convergence to analytical solutions found earlier for the flow of power‐law fluids in converging‐diverging tubes. A brief investigation was also conducted on a sample of diverging‐converging geometries. The method can in principle be extended to the flow of viscoelastic and thixotropic/rheopectic fluid categories. The method can also be extended to geometries varying in size and shape in the flow direction, other than the perfect cylindrically‐symmetric converging‐diverging ones, as long as characteristic flow relations correlating the flow rate to the pressure drop on the discretized elements of the lubrication approximation can be found. These relations can be analytical, empirical and even numerical and hence the method has a wide applicability range. © 2015 Curtin University of Technology and John Wiley & Sons, Ltd.

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Slip at Fluid-Solid Interface

Cited by 154 publications

References 233 publications

Polymer Flow Through Porous Media: Numerical Prediction of the Contribution of Slip to the Apparent Viscosity

Polymer Flow Through Porous Media: Numerical Prediction of the Contribution of Slip to the Apparent Viscosity

Grease flow in an elbow channel

Flow of non‐Newtonian fluids in converging–diverging rigid tubes

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