Cessation of viscoplastic Poiseuille flow with wall slip

Damianou, Yiolanda; Philippou, Maria; Kaoullas, George; Georgiou, Georgios C.

doi:10.1016/j.jnnfm.2013.10.004

Cited by 60 publications

(22 citation statements)

References 60 publications

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“…[12][13][14] The occurrence of slip has also important consequences on the development of flow instabilities during the extrusion of highly filled polymeric suspensions, 15,16 the spreading of yield stress fluids, 17,18 and the establishment of steady conditions during start up flows or cessation flows of yield stress materials. 19,20 Hence the occurrence of slip for complex materials must be considered as an important and intrinsic feature of its flow and deformation behaviour. Mooney introduced a method to analyze slip and measure slip velocities in capillary and rotational rheometry; these rely on multiple measurements performed with the same capillary length over diameter ratios but different diameters or different parallel plate gap sizes, respectively.…”

Section: Introductionmentioning

confidence: 99%

Particle–wall tribology of slippery hydrogel particle suspensions

2017

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Slip is an important phenomenon that occurs during the flow of yield stress fluids like soft materials and pastes. Densely packed suspensions of hydrogel microparticles are used to show that slip is governed by the tribological interactions occurring between the samples and shearing surfaces. Both attractive/repulsive interactions between the dispersed particles and surface, as well as the viscoelasticity of the suspension, are found to play key roles in slip occurring within rheometric flows. We specifically discover that for two completely different sets of microgels, the sliding stress at which slip occurs scales with both the modulus of the particles and the bulk suspension modulus. This suggests that hysteresis losses within the viscoelastic particles contribute to friction forces and thus slip at the particle-surface tribo-contact. It is also found that slip during large amplitude oscillatory shear and steady shear flows share the same generic features.

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Section: Introductionmentioning

confidence: 99%

Particle–wall tribology of slippery hydrogel particle suspensions

2017

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“…Roquet and Saramito [30] investigated in detail the Poiseuille flow of a Bingham fluid in a square duct with slip yield boundary condition at the wall.They used the augmented Lagrangian algorithm. Damianou et al [32] solved numerically the cessation of axisymmetric Poiseuille flow of a HerschelBulkley fluid under the assumption that slip occurs along the wall with slip yield stress. Damianou and Georgiou used regularized versions of both the constitutive and the slip equations along with finite elements in order to solve the steady-state flow of a Herschel-Bulkley fluid in a rectangular duct with wall slip and non-zero slip yield stress [33].…”

Section: Introductionmentioning

confidence: 99%

Squeeze Flow of Viscoplastic Bingham Material

Muravleva¹

2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. We consider both planar and axisymmetric squeeze flows of a viscoplastic medium. Firstly we deal with no-slip boundary conditions. The asymptotic and the numerical solutions are developed. Previous theoretical analysis of this problem, using the standard lubrication approximation, has led to conflicting results, whereby the material around the plane of symmetry must both behaves as unyielded solid and translates in the main direction with a nonuniform velocity. This variation of the velocity implies that the plug region cannot be truly unyielded. Our solutions show that this region is a pseudo-plug region in which the leading order equation predicts a plug, but really it is weakly yielded at higher order. We follow the asymptotic technique suggested earlier by Balmforth, Craster (1999) and Frigaad, Ryan (2004). The obtained analytical expressions and numerical results are in a very good agreement with the earlier works. For numerical simulations we apply Augmented Lagrangian method (ALM) that yields superior results regarding the location of the yieldsurface. Finite-difference method on staggered grids is used as a discretization technique.Secondly we consider squeeze flow of a Bingham fluid subject to wall slip. If the wall shearstress is smaller than the threshold value (the slip yield stress), the fluid adherence to the boundary is imposed and we have no-slip condition. When the wall shear stress reaches the slip yield stress, the fluid slips along the boundary. We solve numerically this problem also by ALM. The different flow regimes can be observed depending on the relative values of the yield stress and the slip yield stress. More precisely, for the case when the yield stress is smaller than the slip yield stress, there exists a particular value T crit such that when the slip yield stress is greater or equal to T crit ,the material fully sticks at the wall. When the slip yield stress is less than T crit and bigger than the yield stress, the fluid sticks in the central region of the wall and slips close to the outer edges of discsorplates. For the case when the yield stress is bigger than the slip yield stress the material slips on the whole boundary.1215

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“…In the past time, the no-slip mechanism was widely accepted by people in the fields of fluid mechanics. However, with the development of technologies and people's knowledge, the slip phenomenon has been verified by many scholars [1][2][3][4][5][6][7][8][9]. The slippage is a very complicated physical phenomenon occurred at a fluid/solid interface [10][11][12] and is easily impacted by many factors [13][14][15], such as material properties [16], die surface roughness [17][18][19], geometrical structures [20,21], and processing parameters.…”

Section: Introductionmentioning

confidence: 99%

A novel unified wall slip model for Poiseuille flow of polymer melt in the circular tube

Ren

Huang

Liu

2015

Polymer Engineering & Sci

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In this study, to better reflect the slip effect of Poiseuille flow for polymer melt extruded through a circular tube, a novel unified wall slip model and flow equation based on two phase fluid system were proposed via a purely phenomenological approach. According to the different combinations of boundary conditions and flow parameters, the novel slip model was transformed into other models, such as adsorption-desorption model, entanglement-disentanglement model, lubrication layer model, Z-W model, and no-slip model. The numerical simulation based on computed fluid dynamics was performed to verify the feasibility of the novel slip model. In the simulations, the radial flow velocity profile, shear rate, and viscosity distribution were obtained for six different models. Moreover, the effect of different slip coefficient combinations for the novel slip model on the radial flow velocity, slip velocity, volumetric flow rate error, and viscosity distribution of melt were also investigated and discussed. Results showed that the novel unified slip model not only incorporated the characteristics of other five models above mentioned, but also well interpreted the reason of simultaneously occurring the sharkskin surface defect and gross melt fracture phenomenon when flow rate of melt was extremely large. POLYM. ENG. SCI., 56:328-341,

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Cessation of viscoplastic Poiseuille flow with wall slip

Cited by 60 publications

References 60 publications

Particle–wall tribology of slippery hydrogel particle suspensions

Particle–wall tribology of slippery hydrogel particle suspensions

Squeeze Flow of Viscoplastic Bingham Material

A novel unified wall slip model for Poiseuille flow of polymer melt in the circular tube

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