Squeeze flow theory and applications to rheometry: A review

Engmann, Jan; Servais, Colin; Burbidge, Adam

doi:10.1016/j.jnnfm.2005.08.007

Cited by 379 publications

(278 citation statements)

References 167 publications

(210 reference statements)

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“…Phys. Fluids 24, 073104 (2012) flows in various geometries, fluids, slip conditions and plate translations studied previously is given by Engmann et al 1 Considering now the force on a sphere of radius R 0 in the limit as h → 0, i.e., during the close approach approximation, we recover the classical lubrication force on a sphere settling toward a wall 7,8 …”

Section: Introductionmentioning

confidence: 71%

“…1 In the simplest case of a parallel-plate geometry, often used for rheological measurements, where one plate is translated through a Newtonian fluid at constant velocity, exact analytical solutions of the lubrication equations can easily be derived for the radial and vertical velocity components in the film and force on the translating plate, which, neglecting slip on the solid surfaces, can be described by the Stefan-Reynolds relation…”

Section: Introductionmentioning

confidence: 99%

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Squeeze flow of a Carreau fluid during sphere impact

2012

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Articles you may be interested inWe present results from a combined numerical and experimental investigation into the squeeze flow induced when a solid sphere impacts onto a thin, ultra-viscous film of non-Newtonian fluid. We examine both the sphere motion through the liquid as well as the fluid flow field in the region directly beneath the sphere during approach to a solid plate. In the experiments we use silicone oil as the model fluid, which is welldescribed by the Carreau model. We use high-speed imaging and particle tracking to achieve flow visualisation within the film itself and derive the corresponding velocity fields. We show that the radial velocity either diverges as the gap between the sphere and the wall diminishes (Z tip → 0) or that it reaches a maximum value and then decays rapidly to zero as the sphere comes to rest at a non-zero distance (Z tip = Z min ) away from the wall. The horizontal shear rate is calculated and is responsible for significant viscosity reduction during the approach of the sphere. Our model of this flow, based on lubrication theory, is solved numerically and compared to experimental trials. We show that our model is able to correctly describe the physical features of the flow observed in the experiments. C 2012 American Institute of Physics. [http://dx

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Section: Introductionmentioning

confidence: 71%

Section: Introductionmentioning

confidence: 99%

Squeeze flow of a Carreau fluid during sphere impact

2012

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“…Concerning the first one and additionally to the study of van Veen, partial information can be found in Engmann et al (2005) (Stefan equation to estimate the axial viscous force) Meurisse and Querry (2006) and Pascarella and Baldwin (1998) (the latter one studied the compression flow modeling). As far as the tilt motion is concerned, we refer to the work of Kaneda et al (2007), where use is made of water and also glycerine (c = 0.0635 N m -1 and g = 0.900 Pa s) to study the oscillation of a tilted circular pad on a droplet for the self-alignment process.…”

Section: State Of the Art And Definition Of The Problemmentioning

confidence: 99%

Spectral analysis and experimental study of lateral capillary dynamics for flip-chip applications

Lambert

Mastrangeli

Valsamis

et al. 2010

Microfluid Nanofluid

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This article presents a study on the dynamics of lateral motion of a liquid meniscus confined by a pad and a chip moving parallel to the pad. This problem is a typical flip-chip case study, whose use is widespread in industrial assembly. The proposed model describing this dynamics is built upon two coupled physics: the NavierStokes equation governing the liquid flow between the pad and the chip, and the Newton's law describing the motion of the chip. This coupled problem is solved with a spectral method based on Chebyshev polynomials, by assuming a linear analytical expression of the lateral stiffness of the meniscus in the cases of circular and square pads. The theoretical results are benchmarked with literature results and thoroughly experimentally validated. From these results, we propose a map giving the characteristic time of the chip dynamics according to only two non-dimensional parameters, constructed with the physical (density, surface tension, and viscosity), geometrical (pad area and gap), or dynamical (chip mass) parameters of the problem.

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“…Many studies have been reported on the squeeze flow of Newtonian and non-Newtonian fluids between rigid parallel flat bodies with or without wall-slip concerning both experimental and numerical analyses, fundamentals and applications (Gibson and Toll 1999;Engmann et al 2005).…”

Section: Brinkmann Modelmentioning

confidence: 99%