Effects of plate roughness in squeeze-flow rheometry

Abstract Newtonian fluids and non-Newtonian soft solids were squeezed between parallel glass plates by a constant force F applied at time t = 0. The plate separation h(t) and the squeeze-rate V ( t ) = − h ˙ were measured for plate roughnesses in the range 0.3–31 μm, and the results compared with predictions of theory. Newtonian liquids between smooth plates followed closely the prediction V ∝ t − 3 / 2 after a short time. Many non-Newtonian materials showed a boundary-slip that was lessened or removed by plate roughnesses in the above range and for some the slip seemed to vary during the squeezing process. Perfect slip (zero boundary shear stress) was not approached by any material, even when squeezed by optically polished plates. For several soft solids the h(t) data resembled the predictions of squeeze-flow theory, and the yield stress obtained from the limiting value of h as V → 0 was close to that measured by the vane method. However, the V(t) behaviour of most soft solids showed deviations from the prediction of theory, particularly for long squeezing times. For materials that had a continuous liquid phase in which other liquid or solid phases were suspended the deviations were consistent with phase concentration gradients induced by the squeezing process.

[1]  B. R. Stanmore,et al.  Use of the parallel-plate plastometer for the characterisation of viscous fluids with a yield stress , 1981 .

[2]  A. Poitou,et al.  A squeezing experiment showing binder migration in concentrated suspensions , 2001 .

[3]  Morton M. Denn,et al.  Flow of bingham fluids in complex geometries , 1984 .

[4]  D. Williams,et al.  Shear-dependent boundary slip in an aqueous Newtonian liquid. , 2001, Physical review letters.

[5]  Friction and the continuum limit - Where is the boundary? , 2000 .

[6]  G. Noyel,et al.  A magneto-optical method for viscosimetric measurements , 1999 .

[7]  G. Meeten,et al.  Yield stress of structured fluids measured by squeeze flow , 2000 .

[8]  Fuqian Yang.  Exact solution for compressive flow of viscoplastic fluids under perfect slip wall boundary conditions , 1998 .

[9]  Zongfu Yu,et al.  Measurement of time-dependent CP asymmetries in Bjavax.xml.bind.JAXBElement@6d610b0 → D(*)±π± decays and constraints on sin(2β + γ) , 2004 .

[10]  H. Barnes,et al.  Modelling the flow behaviour of very shear-thinning liquids , 2001 .

[11]  F. Bertrand,et al.  Coexistence of liquid and solid phases in flowing soft-glassy materials. , 2002, Physical review letters.

[12]  S. Granick,et al.  Rate-dependent slip of Newtonian liquid at smooth surfaces. , 2001, Physical review letters.

[13]  J. Sherwood,et al.  Squeeze-flow of a Herschel–Bulkley fluid , 1998 .

[14]  G. H. Meeten,et al.  SQUEEZE-FILM RHEOMETRY OF NON-UNIFORM MUDCAKES , 1991 .

[15]  C. Wang.  Flow over a surface with parallel grooves , 2003 .

[16]  Philippe Coussot,et al.  Viscosity bifurcation in thixotropic, yielding fluids , 2002 .

[17]  Hans-Jürgen Butt,et al.  Surface roughness and hydrodynamic boundary slip of a newtonian fluid in a completely wetting system. , 2003, Physical review letters.

[18]  J. Sherwood,et al.  Liquid-solid relative motion during squeeze flow of pastes , 2002 .

[19]  D. Baird,et al.  An evaluation of a squeeze flow rheometer for the rheological characterization of a filled polymer with a yield stress , 2002 .

[20]  F. Bertrand,et al.  Direct determination by nuclear magnetic resonance of the thixotropic and yielding behavior of suspensions , 2002 .

[21]  H. Mader,et al.  The rheology of a bubbly liquid , 2001, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[22]  Hugh Spikes,et al.  Equation for Slip of Simple Liquids at Smooth Solid Surfaces , 2003 .

[23]  N. Giordano,et al.  Fluid flow through nanometer-scale channels. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  On Fluid/Wall Slippage , 2001, cond-mat/0112383.

[25]  Jamming, two-fluid behavior, and "self-filtration" in concentrated particulate suspensions. , 2003, Physical review letters.

[26]  Howard A. Barnes,et al.  The yield stress—a review or ‘παντα ρει’—everything flows? , 1999 .

[27]  G. Meeten,et al.  Squeeze flow of soft solids between rough surfaces , 2004 .

[28]  G. Meeten.  Constant-force squeeze flow of soft solids , 2002 .

[29]  F Manzano,et al.  Exponential temperature dependence of the penetration depth in single crystal MgB2. , 2002, Physical review letters.

[30]  Howard A. Barnes,et al.  A review of the slip (wall depletion) of polymer solutions, emulsions and particle suspensions in viscometers: its cause, character, and cure , 1995 .

[31]  B. Edmondson,et al.  An experimental and theoretical study of the squeeze-film deformation and flow of elastoplastic fluids , 1994 .

[32]  András Jánossy,et al.  “高磁場Gd3+電子スピン共鳴により測定したYBa2Cu4O8における磁場誘起低エネルギースピン励起”へのコメント , 2001 .

[33]  Simulation of Lubricated Squeezing Flow of a Herschel-Bulkley Fluid Under Constant Force , 2000 .

[34]  Mohend Chaouche,et al.  Squeeze flow of highly concentrated suspensions of spheres , 2000 .

[35]  P. Hébraud,et al.  Role of Permeation in the Linear Viscoelastic Response of Concentrated Emulsions , 2000 .

[36]  Mohend Chaouche,et al.  Rheological behavior of sewage sludge and strain-induced dewatering , 2003 .