×

Thin film and high shear rheology of multiphase complex fluids. (English) Zbl 1262.76013

Summary: We explore the high-shear and gap-dependent rheological properties of multiphase complex fluids using narrow-gap parallel-plate rheometry. This technique has been developed to explore the apparent rheological properties of such fluids when they are confined to length scales comparable to that of their underlying microstructure. This is particularly relevant to processes such as lubrication and microfluidics, whereby complex fluids are typically confined to length scales of below \(100 \mu \)m and subjected to shear rates well in excess of 1000 s\(^{ - 1}\). We demonstrate that the parallel-plate geometry is capable of accessing extremely high shear rates (e.g. \(10^{5} \)s\(^{ - 1}\)) using narrow gap heights (5\(-100 \mu \)m) for Newtonian, shear-thinning, and elastic fluids. In order to obtain meaningful measurements, numerous errors that arise must be accounted for. The most apparent error is that the measured viscosity decreases with gap height at gaps below a few hundred microns. This results from an error in the gap that is typically 5-\(30 \mu m\) and usually occurs due to misalignment of the parallel plates, although there is also a contribution from the squeeze flow of air during the gap-zeroing procedure for very accurately aligned plates. The effect of microscale-confinement on the apparent viscosity and viscoelastic properties of microstructured fluids and suspensions is also considered, whereby confinement to gaps that are approaching that of the characteristic microstructure length scale causes a solid-like response with a substantially enhanced storage modulus and apparent yield stress. Despite confinement and jamming effects at low stresses, at high stress the multiphase fluids flow with a viscosity similar to that of bulk fluid and continuous phase even when the gap height is similar to the particle size. Slip and depletion effects are particularly apparent at narrow gaps and must be considered in order to obtain reliable rheological measurements. It is anticipated that the utilisation of these techniques to explore the dynamics of confined microstructures will lead to new insights into the behaviour of such systems under the extreme conditions of narrow gaps and/or high shear rates that are experienced during many processes and/or applications.

MSC:

76A20 Thin fluid films
76T30 Three or more component flows
Full Text: DOI

References:

[1] De Vicente, J.; Stokes, J. R.; Spikes, H. A.: Lubrication properties of non-adsorbing polymer solutions in soft elastohydrodynamic (EHD) contacts, Tribol. int. 38, 515-526 (2005)
[2] Rodd, L. E.; Scott, T. P.; Boger, D. V.: The inertio-elastic planar entry flow of low-viscosity elastic fluids in micro-fabricated geometries, J. non-newt. Fluid mech. 129, 1-22 (2005)
[3] Clasen, C.; Mckinley, G. H.: Gap-dependent microrheometry of complex liquids, J. non-newt. Fluid mech. 124, 1-10 (2004) · Zbl 1142.76314 · doi:10.1016/j.jnnfm.2004.07.015
[4] Barnes, H. A.: Viscosity, (2002)
[5] Mackley, M. R.; Marshall, R. T. J.; Smeulders, J. B. A.F.: The multipass rheometer, J. rheol. 39, 1293-1309 (1995)
[6] Lodge, A. S.: On-line measurement of elasticity and viscosity in flowing polymeric liquids, Rheol. acta 35, 110-116 (1996)
[7] Braithwaite, G. J. C.; Mckinley, G. H.: Sliding plate rheometry of confined macro molecules, Abstr. papers am. Chem. soc. 215, U485 (1998)
[8] Clasen, C.; Gearing, B. P.; Mckinley, G. H.: The flexure-based microgap rheometer (FMR), J. rheol. 50, 883-905 (2006)
[9] Walters, K.: Rheometry, (1975)
[10] Macosko, C. W.: Rheology principles, measurements and applications, (1994)
[11] Steffe, J. F.: Rheological methods in food process engineering, (1996)
[12] Bird, R. B.; Armstrong, R. C.; Hassager, O.: Dynamics of polymeric liquids, vol. 1, fluid mechanics, (1987)
[13] J.R. Stokes, Swirling flow of viscoelastic fluids, PhD Thesis, University of Melbourne, 1999.
[14] Kramer, J.; Uhl, J. T.; Prudhomme, R. K.: Measurement of the viscosity of guar gum solutions to 50,000s - 1 using a parallel plate rheometer, Polym. eng. Sci. 27, 598-602 (1987)
[15] Keentok, M.; Xue, S. C.: Edge fracture in cone-plate and parallel plate flows, Rheol. acta 38, 321-348 (1999)
[16] Tanner, R. I.; Keentok, M.: Shear fracture in cone plate rheometry, J. rheol. 27, 47-57 (1983)
[17] Mall-Gleissle, S. E.; Gleissle, W.; Mckinley, G. H.; Buggisch, H.: The normal stress behaviour of suspensions with viscoelastic matrix fluids, Rheol. acta 41, 61-76 (2002)
[18] Turian, R. M.: Perturbation solution of steady Newtonian flow in cone and plate and parallel plate systems, Industr. eng. Chem. fundam. 11, 361 (1972)
[19] Byars, J. A.; Oztekin, A.; Brown, R. A.; Mckinley, G. H.: Spiral instabilities in the flow of highly elastic fluids between rotating parallel disks, J. fluid mech. 271, 173-218 (1994)
[20] Stokes, J. R.; Graham, L. J. W.; Lawson, N. J.; Boger, D. V.: Swirling flow of viscoelastic fluids. Part 1. Interaction between inertia and elasticity, J. fluid mech. 429, 67-115 (2001) · Zbl 1034.76003 · doi:10.1017/S0022112000002883
[21] Stokes, J. R.; Graham, L. J. W.; Lawson, N. J.; Boger, D. V.: Swirling flow of viscoelastic fluids. Part 2. Elastic effects, J. fluid mech. 429, 117-153 (2001) · Zbl 1034.76003
[22] Groisman, A.; Steinberg, V.: Elastic turbulence in a polymer solution flow, Nature 405, 53-55 (2000)
[23] Stokes, J. R.; Boger, D. V.: Mixing of viscous polymer liquids, Phys. fluids 12, 1411-1416 (2000) · Zbl 1149.76552 · doi:10.1063/1.870392
[24] Connelly, R. W.; Greener, J.: High-shear viscometry with a rotational parallel-disk device, J. rheol. 29, 209-226 (1985)
[25] Davies, G. A.; Stokes, J. R.: On the gap error in parallel plate rheometry that arises from the presence of air when zeroing the gap, J. rheol. 49, 919-922 (2005)
[26] Kalika, D. S.; Nuel, L.; Denn, M. M.: Gap-dependence of the viscosity of a thermotropic liquid-crystalline copolymer, J. rheol. 33, 1059-1070 (1989)
[27] Henson, D. J.; Mackay, M. E.: Effect of gap on the viscosity of monodisperse polystyrene melts — slip effects, J. rheol. 39, 359-373 (1995)
[28] Roberts, G. P.; Barnes, H. A.: New measurements of the flow-curves for carbopol dispersions without slip artefacts, Rheol. acta 40, 499-503 (2001)
[29] Barnes, H. A.; Hutton, J. F.; Walters, K.: An introduction to rheology, (1989) · Zbl 0729.76001
[30] Keentok, M.; Georgescu, A. G.; Sherwood, A. A.; Tanner, R. I.: Measurement of the 2nd normal stress difference for some polymer-solutions, J. non-newt. Fluid mech. 6, 303-324 (1980)
[31] Keentok, M.; Tanner, R. I.: Cone plate and parallel plate rheometry of some polymer-solutions, J. rheol. 26, 301-311 (1982)
[32] Kulicke, W. M.; Wallbaum, U.: Determination of 1st and 2nd normal stress differences in polymer-solutions in steady shear-flow and limitations caused by flow irregularities, Chem. eng. Sci. 40, 961-972 (1985)
[33] Magda, J. J.; Lou, J.; Baek, S. G.; Devries, K. L.: 2nd normal stress difference of a boger fluid, Polymer 32, 2000-2009 (1991)
[34] Magda, J. J.; Baek, S. G.: Concentrated entangled and semidilute entangled polystyrene solutions and the 2nd normal stress difference, Polymer 35, 1187-1194 (1994)
[35] Meeker, S. P.; Bonnecaze, R. T.; Cloitre, M.: Slip and flow in pastes of soft particles: direct observation and rheology, J. rheol. 48, 1295-1320 (2004)
[36] Quemada, D.: Rheology of concentrated disperse systems. 3. General features of the proposed non-Newtonian model — comparison with experimental-data, Rheol. acta 17, 643-653 (1978)
[37] Stokes, J. R.; Telford, J. H.: Measuring the yield behaviour of structured fluids, J. non-newt. Fluid mech. 124, 137-146 (2004) · Zbl 1142.76323 · doi:10.1016/j.jnnfm.2004.09.001
[38] De Vicente, J.; Stokes, J. R.; Spikes, H. A.: Soft lubrication of model hydrocolloids, Food hydrocol. 20, 483-491 (2006)
[39] Brummer, R.; Godersky, S.: Rheological studies to objectify sensations occurring when cosmetic emulsions are applied to the skin, Colloids surf. A: physicochem. Eng. aspects 152, 89-94 (1999)
[40] Malone, M. E.; Appelqvist, I. A. M.; Norton, I. T.: Oral behaviour of food hydrocolloids and emulsions. Part 1. Lubrication and deposition considerations, Food hydrocoll. 17, 763-773 (2003)
[41] Malone, M. E.; Appelqvist, I. A. M.; Norton, I. T.: Oral behaviour of food hydrocolloids and emulsions. Part 2. Taste and aroma release, Food hydrocoll. 17, 775-784 (2003)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.