A double wall-ring geometry for interfacial shear rheometry

The rheological properties of complex fluid interfaces are of prime importance in a number of technological and biological applications. Whereas several methods have been proposed to measure the surface rheological properties, it remains an intrinsically challenging problem due to the small forces and torques involved and due to the intricate coupling between interfacial and bulk flows. In the present work, a double wall-ring geometry to measure the viscoelastic properties of interfaces in shear flows is presented. The geometry can be used in combination with a modern rotational rheometer. A numerical analysis of the flow field as a function of the surface viscoelastic properties is presented to evaluate the non-linearities in the surface velocity profile at a low Boussinesq number. The sensitivity of the geometry, as well as its applicability, are demonstrated using some reference Newtonian and viscoelastic fluids. Oscillatory and steady shear measurements on these reference complex fluid interfaces demonstrate the intrinsic sensitivity, the accuracy, and the dynamic range of the geometry when used in combination with a sensitive rheometer.

[1]  J. Zasadzinski,et al.  The physics and physiology of lung surfactants , 2001 .

[2]  J. Zasadzinski,et al.  More than a monolayer: relating lung surfactant structure and mechanics to composition. , 2004, Biophysical journal.

[3]  G. Fuller,et al.  Contraction and expansion flows of Langmuir monolayers , 2000 .

[4]  P. Kao,et al.  Lung surfactant gelation induced by epithelial cells exposed to air pollution or oxidative stress. , 2005, American Journal of Respiratory Cell and Molecular Biology.

[5]  Dominique Langevin,et al.  Link between surface elasticity and foam stability , 2009 .

[6]  Curtis W. Frank,et al.  An Interfacial Stress Rheometer To Study Rheological Transitions in Monolayers at the Air-Water Interface , 1999 .

[7]  J. C. Slattery Surfaces—I: Momentum and moment-of-momentum balances for moving surfaces , 1964 .

[8]  C. F. Brooks An interfacial stress rheometer to study the shear rheology of Langmuir monolayers , 1999 .

[9]  Howard Brenner,et al.  Interfacial transport processes and rheology , 1991 .

[10]  L. Scriven,et al.  Dynamics of a fluid interface Equation of motion for Newtonian surface fluids , 1960 .

[11]  Reinhard Miller,et al.  Dilational and shear rheology of adsorption layers at liquid interfaces , 1996 .

[12]  B. Rabinowitsch,et al.  Über die Viskosität und Elastizität von Solen , 1929 .

[13]  Eric R Weeks,et al.  Two-particle microrheology of quasi-2D viscous systems. , 2006, Physical review letters.

[14]  D. Wilson,et al.  The interaction of sucrose esters with β-lactoglobulin and β-casein from bovine milk , 1992 .

[15]  J. Mcbain,et al.  The surface viscosity of detergent solutions as a factor in foam stability , 1953 .

[16]  T. Takei,et al.  Surface rheological properties of the monolayer of synthetic lung surfactant , 1993 .

[17]  Tsung Leo Jiang,et al.  Oscillatory torsional interfacial viscometer , 1987 .

[18]  John C. Slattery,et al.  Interfacial Transport Phenomena , 1990 .

[19]  P. Saffman,et al.  Brownian motion in biological membranes. , 1975, Proceedings of the National Academy of Sciences of the United States of America.

[20]  E. Dickinson,et al.  Oil-soluble Surfactants Have Little Effect on Competitive Adsorption of α-Lactalbumin and β-Lactoglobulin in Emulsions , 1993 .

[21]  H. Stone,et al.  Hydrodynamics of particles embedded in a flat surfactant layer overlying a subphase of finite depth , 1997, Journal of Fluid Mechanics.

[22]  Jan Vermant,et al.  Analysis of the magnetic rod interfacial stress rheometer , 2008 .

[23]  P. Heyer,et al.  Rheology of gas/liquid and liquid/liquid interfaces with aqueous and biopolymer subphases , 2004 .

[24]  P. Wilde,et al.  The Competitive Displacement of β-Lactoglobulin by Tween 20 from Oil-Water and Air-Water Interfaces , 1993 .

[25]  E. Dickinson,et al.  Competitive adsorption of phosvitin with milk proteins in oil-in-water emulsions , 1991 .

[26]  F. Rondelez,et al.  Shear viscosity of langmuir monolayers in the low-density limit. , 2003, Physical review letters.

[27]  B. Stalínski Structural Features of Rare Earth Hydrides* , 1985 .

[28]  A. R. Deemer,et al.  Balance equations and structural models for phase interfaces , 1978 .

[29]  M. Avery,et al.  Lung surfactant and neonatal respiratory distress syndrome. , 1998, American journal of respiratory and critical care medicine.

[30]  L. G. Leal,et al.  Conservation and constitutive equations for adsorbed species undergoing surface diffusion and convection at a fluid-fluid interface , 1982 .

[31]  P. Dutta,et al.  Apparatus to measure the shear modulus of Langmuir monolayers as functions of strain amplitude and frequency , 1997 .

[32]  Erich J. Windhab,et al.  Stress- and strain-controlled measurements of interfacial shear viscosity and viscoelasticity at liquid/liquid and gas/liquid interfaces , 2003 .

[33]  John C. Slattery,et al.  Disk and biconical interfacial viscometers , 1978 .

[34]  R. Dorshow,et al.  Application of surface laser‐light scattering spectroscopy to photoabsorbing systems: The measurement of interfacial tension and viscosity in crude oil , 1989 .

[35]  L. G. Leal,et al.  A micromechanical derivation of Fick's law for interfacial diffusion of surfactant molecules , 1978 .

[36]  Lenore L. Dai,et al.  Apparent microrheology of oil-water interfaces by single-particle tracking. , 2007, Langmuir.

[37]  Michael Dennin,et al.  A two-dimensional Couette viscometer for Langmuir monolayers , 1998 .

[38]  J. Zasadzinski,et al.  Keeping lung surfactant where it belongs: protein regulation of two-dimensional viscosity. , 2005, Biophysical journal.

[39]  R. Miller,et al.  Interfacial shear rheology of protein-surfactant layers. , 2008, Advances in colloid and interface science.