Viscoplastic Poiseuille flow in a rectangular duct with wall slip

Damianou, Yiolanda; Georgiou, Georgios C.

doi:10.1016/j.jnnfm.2014.10.002

Cited by 33 publications

(14 citation statements)

References 34 publications

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“…This also agrees with our observations where a more distinct plug-flow region, larger than that predicted by the analytical solution, is observed for all velocity profiles. To account for slip in our measurements, we have considered the Navier slip law (Damianou and Georgiou 2014;Kim 2019) (Appendix 1).…”

Section: Discussionmentioning

confidence: 99%

“…Wall slip effects: The analytical solution in Appendix 1 that is fitted to the measured profiles includes the Navier slip term v w = βτ w where v w is the slip velocity, β the slip coefficient, and τ w is the wall shear stress (Ferrás et al 2012;Damianou and Georgiou 2014;Damianou et al 2016;Kim 2019). Table 2 summarizes the slip coefficient values for each of the profiles in Fig.…”

Section: Sample Volume Overlapmentioning

confidence: 99%

“…5, 6, and 7. In this work, we consider the linear Navier slip law as described by Ferrás et al (2012), Damianou and Georgiou (2014), Damianou et al (2016), andKim (2019) on the walls, where the wall slip velocity, v w , is proportional to the wall shear stress, expressed as,…”

Section: Appendixmentioning

confidence: 99%

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Radial flow velocity profiles of a yield stress fluid between smooth parallel disks

et al. 2020

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In rock grouting, idealized 2D-radial laminar flow of yield stress fluids (YSF) is a fundamental flow configuration that is used for cement grout spread estimation. A limited amount of works have presented analytical and numerical solutions on the radial velocity profiles between parallel disks. However, to the best of our knowledge, there has been no experimental work that has presented measured velocity profiles for this geometry. In this paper, we present velocity profiles of Carbopol (a simple YSF), measured by pulsed ultrasound velocimetry within a radial flow model. We describe the design of the physical model and then present the measured velocity profiles while highlighting the plug-flow region and slip effects observed for three different apertures and volumetric flow rates. Although the measured velocity profiles exhibited wall slip, there was a reasonably good agreement with the analytical solution. We then discuss the major implications of our work on radial flow.

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Section: Discussionmentioning

confidence: 99%

Section: Sample Volume Overlapmentioning

confidence: 99%

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Radial flow velocity profiles of a yield stress fluid between smooth parallel disks

et al. 2020

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“…Slip is known to introduce such increased complexity to viscoplastic flows, see e.g. [39,64] for other examples. As far as the pressure force is concerned, Figure 9(c) shows that it is relatively independent of the slip coefficient.…”

Section: Effect Of Slipmentioning

confidence: 99%

Viscoplastic flow in an extrusion damper

Syrakos

Dimakopoulos

Georgiou

et al. 2016

Journal of Non-Newtonian Fluid Mechanics

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Numerical simulations of the flow in an extrusion damper are performed using a finite volume method. The damper is assumed to consist of a shaft, with or without a spherical bulge, oscillating axially in a containing cylinder filled with a viscoplastic material of Bingham type. The response of the damper to a forced sinusoidal displacement is studied. In the bulgeless case the configuration is the annular analogue of the well-known lid-driven cavity problem, but with a sinusoidal rather than constant lid velocity. Navier slip is applied to the shaft surface in order to bound the reaction force to finite values. Starting from a base case, several problem parameters are varied in turn in order to study the effects of viscoplasticity, slip, damper geometry and oscillation frequency to the damper response. The results show that, compared to Newtonian flow, viscoplasticity causes the damper force to be less sensitive to the shaft velocity; this is often a desirable damper property. The bulge increases the required force on the damper mainly by generating a pressure difference across itself; the latter is larger the smaller the gap between the bulge and the casing is. At high yield stresses or slip coefficients the amount of energy dissipation that occurs due to sliding friction at the shaft-fluid interface is seen to increase significantly. At low frequencies the flow is in quasi steady state, dominated by viscoplastic forces, while at higher frequencies the fluid kinetic energy storage and release also come into the energy balance, introducing hysteresis effects.

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“…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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Viscoplastic Poiseuille flow in a rectangular duct with wall slip

Cited by 33 publications

References 34 publications

Radial flow velocity profiles of a yield stress fluid between smooth parallel disks

Radial flow velocity profiles of a yield stress fluid between smooth parallel disks

Viscoplastic flow in an extrusion damper

Squeeze Flow of Viscoplastic Bingham Material

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