Abstract
Within this paper we demonstrate the capability of the sliding plate configuration of the flexure-based microgap rheometer (FMR) to absolutely determine slip velocities of a yield stress fluid. The sensitivity of the compound flexures of the FMR in combination with the possibility to achieve precise gap settings down to 1 μm allows to accurately determining slip velocities down to 1 μm/s. We further show how the obtained non-linear relation of the slip velocity to the constant stresses of the plane Couette flow in the sliding plate configuration of the FMR allows predicting and explaining the inhomogeneous stress distribution and partial yielding behaviour in a rotational cone-and-plate geometry.
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Ardakani HA, Mitsoulis E, Hatzikiriakos SG (2011) Thixotropic flow of toothpaste through extrusion dies. J Non-Newton Fluid Mech 166(21–22):1262–1271. doi:10.1016/j.jnnfm.2011.08.004
Baik SJ, Moldenaers P, Clasen C (2008) Determination of normal stresses in micrometer thin films. In: Co A, Leal LG, Colby RH, Giacomin AJ (eds) XVth international congress on rheology—the Society of Rheology 80th annual meeting, pts 1 and 2, vol 1027. Aip Conference Proceedings. Amer Inst Physics, Melville, pp 1165–1167
Baik SJ, Moldenaers P, Clasen C (2011) A sliding plate microgap rheometer for the simultaneous measurement of shear stress and first normal stress difference. Rev Sci Instrum 82(3):035121. doi:10.1063/1.3571297
Barnes HA (1995) A review of the slip (wall depletion) of polymer-solutions, emulsions and particle suspensions in viscometers—its cause, character, and cure. J Non-Newton Fluid Mech 56(3):221–251
Bertola V, Bertrand F, Tabuteau H, Bonn D, Coussot P (2003) Wall slip and yielding in pasty materials. J Rheol 47(5):1211–1226. doi:10.1122/1.1595098
Clasen C (2012) High shear rheometry using hydrodynamic lubrication flows. J Rheol, in press
Clasen C, McKinley GH (2004) Microrheometry: gap-dependent rheology and tribology of complex fluids. In: Lee JW, Lee SJ (eds) The XIVth international congress on rheology. The Korean Society of Rheology, Seoul, pp 1–3
Clasen C, Gearing BP, McKinley GH (2006) The flexure-based microgap rheometer (FMR). J Rheol 50(6):883–905
Clasen C, Kavehpour HP, McKinley GH (2010) Bridging tribology and microrheology of thin films. Appl Rheol 20(4):196–208. doi:10.3933/ApplRheol-20–45049
Cohen Y, Metzner AB (1985) Apparent slip-flow of polymer-solutions. J Rheol 29(1):67–102
Davies GA, Stokes JR (2008) Thin film and high shear rheology of multiphase complex fluids. J Non-Newton Fluid Mech 148(1–3):73–87
Derakhshandeh B, Hatzikiriakos SG, Bennington CPJ (2010) Rheology of pulp suspensions using ultrasonic Doppler velocimetry. Rheol Acta 49(11–12):1127–1140. doi:10.1007/s00397-010-0485-2
Dimitriou CJ, McKinley GH, Venkatesan R (2011) Rheo-PIV Analysis of the yielding and flow of model waxy crude oils. Energy Fuels 25(7):3040–3052. doi:10.1021/ef2002348
Erni P, Varagnat M, Clasen C, Crest J, McKinley GH (2011) Microrheometry of sub-nanolitre biopolymer samples: non-Newtonian flow phenomena of carnivorous plant mucilage. Soft Matter 7(22):10889–10898. doi:10.1039/c1sm05815k
Giacomin AJ, Samurkas T, Dealy JM (1989) A novel sliding plate rheometer for molten plastics. Polym Eng Sci 29(8):499–504
Hatzikiriakos SG (1993) A slip model for linear-polymers based on adhesive failure. Int Polym Process 8(2):135–142
Hatzikiriakos SG, Dealy JM (1991) Wall slip of molten high-density polyethylene.1. Sliding plate rheometer studies. J Rheol 35(4):497–523
Kalika DS, Denn MM (1987) Wall slip and extrudate distortion in linear low-density polyethylene. J Rheol 31(8):815–834. doi:10.1122/1.549942
Kalyon DM, Yaras P, Aral B, Yilmazer U (1993) Rheological behaviour of a concentrated suspension—a solid rocket fuel simulant. J Rheol 37(1):35–53. doi:10.1122/1.550435
Kojic N, Bico J, Clasen C, McKinley GH (2006) Ex vivo rheology of spider silk. J Exp Biol 209(21):4355–4362
Kramer J, Uhl JT, Prudhomme RK (1987) Measurement of the viscosity of guar gum solutions to 50,000 1/s using a parallel plate rheometer. Polym Eng Sci 27(8):598–602
Laun HM (2004) Capillary rheometry for polymer melts revisited. Rheol Acta 43(5):509–528. doi:10.1007/s00397-004-0387-2
Lumma D, Best A, Gansen A, Feuillebois F, Radler JO, Vinogradova OI (2003) Flow profile near a wall measured by double-focus fluorescence cross-correlation. Phys Rev E 67(5):10. doi:10.1103/PhysRevE.67.056313
Macosko C (1994) Rheology: principles, measurements, and applications. VCH, New York
Mair RW, Callaghan PT (1996) Observation of shear banding in worm-like micelles by NMR velocity imaging. Europhys Lett 36(9):719–724. doi:10.1209/epl/i1996–00293–9
Manneville S, Becu L, Colin A (2004) High-frequency ultrasonic speckle velocimetry in sheared complex fluids. Eur Phys J-Appl Phys 28(3):361–373. doi:10.1051/epjap:2004165
Meeker SP, Bonnecaze RT, Cloitre M (2004a) Slip and flow in pastes of soft particles: direct observation and rheology. J Rheol 48(6):1295–1320. doi:10.1122/1.1795171
Meeker SP, Bonnecaze RT, Cloitre M (2004b) Slip and flow in soft particle pastes. Phys Rev Lett 92(19):4. doi:10.1103/PhysRevLett.92.198302
Migler KB, Hervet H, Leger L (1993) Slip transition of a polymer melt under shear-stress. Phys Rev Lett 70(3):287–290
Mooney M (1931) Explicit formulas for slip and fluidity. J Rheol 2:210–222
Navier CLMH (1823) On the laws of movement of fluids. Mém de l’Acad Roy des Sciences de l’Inst de France 6:389–440
Neto C, Evans DR, Bonaccurso E, Butt HJ, Craig VSJ (2005) Boundary slip in Newtonian liquids: a review of experimental studies. Rep Prog Phys 68(12):2859–2897. doi:10.1088/0034-4885/68/12/r05
Piau JM, Piau A (2005) Letter to the editor: comment on “origin of concentric cylinder viscometry” [J Rheol 49:807–818 (2005)]. The relevance of the early days of viscosity, slip at the wall, and stability in concentric cylinder viscometry. J Rheol 49(6):1539–1550. doi:10.1122/1.2072087
Picard G, Ajdari A, Bocquet L, Lequeux F (2002) Simple model for heterogeneous flows of yield stress fluids. Phys Rev E 66(5):12. doi:10.1103/PhysRevE.66.051501
Princen HM, Kiss AD (1986) Rheology of foams and highly concentrated emulsions. III: Static shear modulus. J Colloid Interface Sci 112(2):427–437. doi:10.1016/0021-9797(86)90111-6
Reimers MJ, Dealy JM (1998) Sliding plate rheometer studies of concentrated polystyrene solutions: nonlinear viscoelasticity and wall slip of two high molecular weight polymers in tricresyl phosphate. J Rheol 42(3):527–548
Rofe CJ, deVargas L, PerezGonzalez J, Lambert RK, Callaghan PT (1996) Nuclear magnetic resonance imaging of apparent slip effects in xanthan solutions. J Rheol 40(6):1115–1128. doi:10.1122/1.550775
Russel WB, Grant MC (2000) Distinguishing between dynamic yielding and wall slip in a weakly flocculated colloidal dispersion. Colloids Surf A Physicochem Eng Asp 161(2):271–282. doi:10.1016/s0927-7757(99)00376-3
Salmon JB, Becu L, Manneville S, Colin A (2003) Towards local rheology of emulsions under Couette flow using dynamic light scattering. Eur Phys J E 10(3):209–221. doi:10.1140/epje/i2002-10110-5
Seth JR, Cloitre M, Bonnecaze RT (2008) Influence of short-range forces on wall-slip in microgel pastes. J Rheol 52(5):1241–1268. doi:10.1122/1.2963135
Yeow YL, Leong YK, Khan A (2006) Non-Newtonian flow in parallel-disk viscometers in the presence of wall slip. J Non-Newton Fluid Mech 139(1–2):85–92. doi:10.1016/j.jnnfm.2006.07.005
Yeow YL, Leong YK, Khan A (2008) Slow steady viscous flow of newtonian fluids in parallel-disk viscometer with wall slip. J Appl Mech-Trans ASME 75(4):7. doi:10.1115/1.2910901
Yoshimura A, Prudhomme RK (1988) Wall slip corrections for Couette and parallel disk viscometers. J Rheol 32(1):53–67
Acknowledgements
The authors would like to acknowledge the financial support from the research foundation Flanders (FWO) (project G.0543.10) and the Bijzonder Onderzoeksfonds K.U. Leuven (GOA 09/002). Furthermore. they would like to thank G.H. McKinley and P. Erni for fruitful discussions.
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Appendix
Appendix
The slip velocity and bulk shear rate are determined following the Mooney analysis by plotting for a constant stress the different shear rates that were observed in Fig. 2 at different gaps as function of the inverse gap. Following Eq. 1, the linear extrapolation of such a series of constant stress gives the bulk shear rate as the y-axis intersect and the slip velocity as the slope of the interpolated curve.
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Clasen, C. Determining the true slip of a yield stress material with a sliding plate rheometer. Rheol Acta 51, 883–890 (2012). https://doi.org/10.1007/s00397-012-0647-5
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DOI: https://doi.org/10.1007/s00397-012-0647-5