Intermolecular And Surface Forces

1. Introduction to colloid science and rheology 2. Hydrodynamic effects 3. Brownian hard spheres 4. Stable colloidal suspensions 5. Non-spherical particles 6. Weakly flocculated suspensions 7. Thixotropy 8. Shear thickening 9. Rheometry of suspensions 10. Suspensions in viscoelastic media 11. Advanced topics.

Colloidal Suspension Rheology

The archetypal feature of a viscoplastic fluid is its yield stress: If the material is not sufficiently stressed, it behaves like a solid, but once the yield stress is exceeded, the material flows like a fluid. Such behavior characterizes materials common in industries such as petroleum and chemical processing, cosmetics, and food processing and in geophysical fluid dynamics. The most common idealization of a viscoplastic fluid is the Bingham model, which has been widely used to rationalize experimental data, even though it is a crude oversimplification of true rheological behavior. The popularity of the model is in its apparent simplicity. Despite this, the sudden transition between solid-like behavior and flow introduces significant complications into the dynamics, which, as a result, has resisted much analysis. Over recent decades, theoretical developments, both analytical and computational, have provided a better understanding of the effect of the yield stress. Simultaneously, greater insight into the material behavior of real fluids has been afforded by advances in rheometry. These developments have primed us for a better understanding of the various applications in the natural and engineering sciences.

Yielding to Stress: Recent Developments in Viscoplastic Fluid Mechanics

Yield stress fluids are encountered in a wide range of applications: toothpastes, cements, mortars, foams, muds, mayonnaise, etc. The fundamental character of these fluids is that they are able to flow (i.e., deform indefinitely) only if they are submitted to a stress above some critical value. Otherwise they deform in a finite way like solids. The flow characteristics of such materials are difficult to predict as they involve permanent or transient solid and liquid regions that are generally hard to locate a priori. Here we review the present state of the art as it appears from experimental data for flows of simple (non-thixotropic) yield stress fluids under various conditions, viz., uniform flows in straight channels or rheometrical geometries, complex stationary flows in channels of varying cross-section such as extrusion, expansion, flow through a porous medium, transient flows such as flows around obstacles, spreading, spin-coating, squeeze flow, and elongation. The effects of surface tension, confinement, and secondary flows are also reviewed. We focus especially on experimental work identifying internal flow characteristics that can be compared with numerical predictions. It is shown in particular that: (i) deformations in the solid regime can play a critical role in transient flows; (ii) the yield character is not apparent in the flow field when the boundary conditions impose large deformations; (iii) the yield character is lost in secondary flows.

Yield stress fluid flows: A review of experimental data

Rheology of emulsions.

We carried out systematic creep tests after different times of rest and over sufficiently long times with pasty materials of various internal structures in a Couette geometry. From an analysis of the data taking into account the inertia of the system and the heterogeneous distribution of stress, we show that: (i) for a stress below the yield stress these materials remain solid but undergo residual, irreversible deformations over long time which exhibit some trends typical of aging in glassy systems; (ii) as a result of thixotropy (or aging) in the solid regime the elastic modulus increases logarithmically with the time of rest; (iii) in the liquid regime the effective behavior of the material can be well represented by a truncated power-law model; (iv) a fundamental parameter of the solid-liquid transition is a critical effective shear rate (associated with the yield stress) below which the material cannot flow steadily.

/pdf/aging-and-solid-or-liquid-behavior-in-pastes-5b29oiki1n.pdf

Aging and solid or liquid behavior in pastes

From MRI velocimetry we measure the local flow characteristics of a Carbopol gel in a Couette geometry under different inner cylinder rotation velocities. Associated with torque data under the same flow conditions we deduce the local, steady-state, simple shear, constitutive equation of the material within a relatively wide range of sheFrom MRI velocimetry we measure the local flow characteristics of a Carbopol gel in a Couette geometry under different inner cylinder rotation velocities. Associated with torque data under the same flow conditions we deduce the local, steady-state, simple shear, constitutive equation of the material within a relatively wide range of shear rates [10−2; 100 s−1]. Then we show that in this range of shear rates this “local” behaviour is in excellent agreement with the “macroscopic” behaviour deduced from conventional rheometry with cone and plate and Couette geometries. We can conclude that this material effectively behaves as a simple yield stress fluid with a constitutive equation well represented by a Herschel–Bulkley model. This behaviour, likely due to the soft-jammed structure of the fluid, contrasts with that of aggregated systems which exhibit thixotropy and shear-banding at low shear rates.ar rates [10−2; 100 s−1]. Then we show that in this range of shear rates this “local” behaviour is in excellent agreement with the “macroscopic” behaviour deduced from conventional rheometry with cone and plate and Couette geometries. We can conclude that this material effectively behaves as a simple yield stress fluid with a constitutive equation well represented by a Herschel–Bulkley model. This behaviour, likely due to the soft-jammed structure of the fluid, contrasts with that of aggregated systems which exhibit thixotropy and shear-banding at low shear rates.

Macroscopic vs. local rheology of yield stress fluids

We show that besides simple or thixotropic yield stress fluids there exists a third class of yield stress fluids. This is illustrated through the rheological behavior of a carbon black suspension, which is shown to exhibit a viscosity bifurcation effect around a critical stress along with rheopectic trends, i.e., after a preshear at a given stress the fluid tends to accelerate when it is submitted to a lower stress. Viscosity bifurcation displays here original features: the yield stress and the critical shear rate depend on the previous flow history. The most spectacular property due to these specificities is that the material structure can be adjusted at will through an appropriate flow history. In particular it is possible to tune the material yield stress to arbitrary low values. A simple model assuming that the stress is the sum of one component due to structure deformation and one component due to hydrodynamic interactions predicts all rheological trends observed and appears to well represent quantitatively the data.

/pdf/rheopexy-and-tunable-yield-stress-of-carbon-black-3tup6zcgx8.pdf

Rheopexy and tunable yield stress of carbon black suspensions

Thixotropic fluids are commonly used in the construction industry (e.g. liquid cements, liquid concrete, drilling fluids), industrial applications (e.g. muds, paints) and the food industry (e.g. liquid dairy products, ketchup). Related applications include some forms of mud flows and debris flows, pasty sewage sludges and some wastewater treatment residues. Thixotropy is the characteristic of a fluid to form a gelled structure over time when it is not subjected to shearing and to liquefy when agitated. A thixotropic fluid is a non-Newtonian fluid with a viscosity that is a function of both shear rate y and instantaneous state(s) of structure of the material. Such a fluid exhibits a reversible time-dependent decrease in apparent viscosity under shear rate and a gradual recovery when the shear stress is removed. This report describes a basic study of dam break wave with thixotropic fluid. A dam break wave is a sudden release of a mass of fluid in a channel. This type of flows has not been studied to date with thixotropic fluid, despite its practical applications : e.g., mudflow release, concrete tests including L-Box and J-Ring for self-consolidating concrete testing, paint applications. Theoretical considerations were developed based upon a kinematic wave approximation of the Saint-Venant equations for a thixotropic fluid down a prismatic sloping channel. The thixotropic fluid model of COUSSOT et al. (2002a) was used since it describes the instantaneous state of fluid structure by a single parameter. The analytical solution of the basic flow motion and rheology equations predict three basic flow regimes depending upon the fluid properties and flow conditions, including the initial degree of jamming of the fluid : (1) a short motion with relatively-rapid flow stoppage for relatively small mass of fluid, (2) a fast flow motion for a large mass of fluid, or (3) an intermediate motion initially rapid before final fluid stoppage for intermediate mass of fluid and intermediate initial rest period To. Physical experiments were performed with bentonite suspensions. Systematic experiments showed four types of flows. For small bentonite mass concentrations and short relaxation times To, the fluid flowed rapidly down the slope and spilled into the overflow container (Flow Type I). For intermediate concentrations and rest periods, the suspension flowed rapidly initially, decelerated relatively suddenly, continued to flow slowly for sometimes before complete stoppage (Flow Type II). For large mass concentrations and long rest periods, the mass of fluid stretched down the slope, until the head separated from the tail (Flow Type III). The last flow pattern (Type IV) corresponded to an absence of flow for large bentonite concentrations and long rest times. Quantitative informations were documented in terms of the final fluid thickness, wave front position, wave front curvature, side profile of the wave front during motion and after stoppage, as well as the flow motion immediately after gate opening. Some freesurface instabilities are also discussed and illustrated. It is believed that the present study is the first theoretical analysis combining successfully the basic principles of unsteady flow motion (i.e. Saint-Venant equations) with a thixotropic fluid model, which was validated with large-size systematic laboratory experiments. It is the belief of the writers that, for such complex systems this kind of approach, combining both rheology and fluid dynamics, is necessary to gain new insights of these complicated flow motions.

https://espace.library.uq.edu.au/view/UQ:9437/ch5404.pdf

Laurent Tocquer

Papers

Aging and solid or liquid behavior in pastes

Macroscopic vs. local rheology of yield stress fluids

Rheopexy and tunable yield stress of carbon black suspensions

Rheopexy and tunable yield stress of carbon black suspensions

A Study of Dam Break Wave of Thixotropic Fluid: Bentonite Surges down an Inclined plane