arXiv subjects

Jeffrey F. Morris

Publications and source records attributed to Jeffrey F. Morris.

27 records · Page 2Linked to original sources

arXiv2015

Active microrheology of colloidal suspensions: simulation and microstructural theory

Accelerated Stokesian Dynamics (ASD) simulation and a microstructural theory are applied to study structure and the viscosity of hard-sphere Brownian suspensions in active microrheology (MR).We consider moderate to dense suspensions, from near to far from equilibrium conditions.The theory explicitly considers many-body hydrodynamic interactions (HIs) in active MR, and is compared with ASD.Two conditions of moving the probe with constant force (CF) and constant velocity (CV) are considered.The structure is quantified using the probability distribution of colloidal particles around the probe, g(r), which is computed as a solution to the pair Smoluchowski equation (SE) for 0.2<ϕ<0.50, and a range of Peclet numbers (Pe), describing the ratio of external force on the probe to thermal forces.Results of ASD and theory demonstrate that a wake zone depleted of bath particles behind the moving probe forms at large Pe, while a boundary-layer accumulation develops upstream.The wake length saturates at Pe>>1 for CF while it continuously grows in CV.This contrast in behavior is related to the dispersion in the motion of the probe under CF conditions, while CV motion has no dispersion.This effect is incorporated in the theory as a force-induced hydrodynamic diffusion flux in the pair SE. We also demonstrate that, despite this difference of structure in CF and CV, g(r) near the probe is set by Pe, for both CF and CV resulting in similar values for their viscosity.Using the theory, the structural anisotropy and Brownian viscosity near equilibrium are shown to be quantitatively similar in both CF and CV motions, which is in contrast with the dilute theory which predict distortions and Brownian viscosities twice as large in CV, relative to CF.This difference arises due to the many-body interactions associated with the equilibrium structure in the moderate to dense regime.

cond-mat.soft↗

arXiv2015

Non-monotonic flow curves of shear thickening suspensions

The discontinuous shear thickening (DST) of dense suspensions is a remarkable phenomenon in which the viscosity can increase by several orders of magnitude at a critical shear rate. It has the appearance of a first order phase transition between two hypothetical "states" that we have recently identified as Stokes flows with lubricated or frictional contacts, respectively. Here we extend the analogy further by means of novel stress-controlled simulations and show the existence of a non-monotonic steady-state flow curve analogous to a non-monotonic equation of state. While we associate DST with an S-shaped flow curve, at volume fractions above the shear jamming transition the frictional state loses flowability and the flow curve reduces to an arch, permitting the system to flow only at small stresses. Whereas a thermodynamic transition leads to phase separation in the coexistence region, we observe a uniform shear flow all along the thickening transition. A stability analysis suggests that uniform shear may be mechanically stable for the small Reynolds numbers and system sizes in a rheometer.

cond-mat.soft↗

arXiv2014

Shear thickening, frictionless and frictional rheologies in non-Brownian suspensions

Particles suspended in a Newtonian fluid raise the viscosity and also generally give rise to a shear-rate dependent rheology. In particular, pronounced shear thickening may be observed at large solid volume fractions. In a recent article (R. Seto, R. Mari, J. F. Morris, and M. M. Denn., Phys. Rev. Lett., 111:218301, 2013) we have considered the minimum set of components to reproduce the experimentally observed shear thickening behavior, including Discontinuous Shear Thickening (DST). We have found frictional contact forces to be essential, and were able to reproduce the experimental behavior by a simulation including this physical ingredient along with viscous lubrication. In the present article, we thoroughly investigate the effect of friction and express it in the framework of the jamming transition. The viscosity divergence at the jamming transition has been a well known phenomenon in suspension rheology, as reflected in many empirical laws for the viscosity. Friction can affect this divergence, and in particular the jamming packing fraction is reduced if particles are frictional. Within the physical description proposed here, shear thickening is a direct consequence of this effect: as the shear rate increases, friction is increasingly incorporated as more contacts form, leading to a transition from a mostly frictionless to a mostly frictional rheology. This result is significant because it shifts the emphasis from lubrication hydrodynamics and detailed microscopic interactions to geometry and steric constraints close to the jamming transition.

cond-mat.soft↗

arXiv2014

Microstructure and rheology of finite inertia neutrally buoyant suspensions

The microstructure and rheological properties of suspensions of neutrally buoyant hard spherical particles in Newtonian fluid under conditions of finite inertia are studied using the lattice-Boltzmann method (LBM), which is based on a discrete Boltzmann model for the fluid and Newtonian dynamics for the particles. The suspensions are subjected to simple-shear flow and the properties are studied as a function of Reynolds number and volume fraction, $ϕ$. The inertia is characterized by the particle-scale shear flow Reynolds number $Re = \frac{ρ\dotγa^{2}}μ$, where $a$ is the particle radius, $\dotγ$ is the shear rate and $ρ$ and $μ$ are the density and viscosity of the fluid, respectively. The influences of inertia and of the volume fraction are studied for $0.005\leqslant Re \leqslant 5$ and $0.1\leqslant ϕ\leqslant 0.35$. The flow-induced microstructure is studied using the pair distribution function $g(\boldsymbol{r})$. Different stress mechanisms, including those due to surface tractions (stresslet), acceleration, and the Reynolds stress due to velocity fluctuations are computed and their influence on the first and second normal stress differences, the particle pressure and the viscosity of the suspensions are detailed. The probability density functions of particle force and torque are also presented.

cond-mat.soft↗

arXiv2013

Discontinuous Shear Thickening of Frictional Hard-Sphere Suspensions

Discontinuous shear thickening (DST) observed in many dense athermal suspensions has proven difficult to understand and to reproduce by numerical simulation. By introducing a numerical scheme including both relevant hydrodynamic interactions and granularlike contacts, we show that contact friction is essential for having DST. Above a critical volume fraction, we observe the existence of two states: a low viscosity, contactless (hence, frictionless) state, and a high viscosity frictional shear jammed state. These two states are separated by a critical shear stress, associated with a critical shear rate where DST occurs. The shear jammed state is reminiscent of the jamming phase of granular matter. Continuous shear thickening is seen as a lower volume fraction vestige of the jamming transition.

cond-mat.soft↗

arXiv2012

Crossover from fast relaxation to physical aging in colloidal adsorption at fluid interfaces

The adsorption dynamics of a colloidal particle at a fluid interface is studied theoretically and numerically, documenting distinctly different relaxation regimes. The adsorption of a perfectly smooth particle is characterized by a fast exponential relaxation to thermodynamic equilibrium where the interfacial free energy has a minimum. The short relaxation time is given by the ratio of viscous damping to capillary forces. Physical and/or chemical heterogeneities in a colloidal system, however, can result in multiple minima of the free energy giving rise to metastability. In the presence of metastable states we observe a crossover to a slow logarithmic relaxation reminiscent of physical aging in glassy systems. The long relaxation time is determined by the thermally-activated escape rate from metastable states. Analytical expressions derived in this work yield quantitative agreement with molecular dynamics simulations and recent experimental observations. This work provides new insights on the adsorption dynamics of colloidal particles at fluid interfaces.

cond-mat.soft↗

arXiv2012

Hydrodynamically-driven colloidal assembly in the thin-film entrainment regime

We study numerically the hydrodynamics of dip coating from a suspension and report a mechanism for colloidal assembly and pattern formation on smooth and uniform substrates. Below a critical withdrawal speed of the substrate, capillary forces required to deform the meniscus prevent colloidal particles from entering the coating film. Capillary forces are overcome by hydrodynamic drag only after a minimum number of particles organize in a close-packed formation within the meniscus. Once within the film, the formed assembly moves at nearly the withdrawal speed and rapidly separates from the next assembly. The interplay between hydrodynamic and capillary forces can thus produce periodic and regular structures within the curved meniscus that extends below the withdrawn film. The hydrodynamically-driven assembly documented here is consistent with stripe pattern formations observed experimentally in the so-called thin-film entrainment regime.

physics.flu-dyn↗

arXiv2010

Suspension flows past bluff bodies: Investigation in a microfluidic environment

This sequence of fluid dynamics videos illustrates the behavior of a suspension of noncolloidal particles flowing past various bluff body obstacles within a microfluidic device. The polystyrene particles, of 7 μm diameter and volume fraction of 8.4%, are carefully made neutrally buoyant with the suspending liquid composed of a mixture of water and a small fraction of glycerol. The channel depth is 60 μm and the typical length of the obstacles normal to the flow direction is 200 μm. The flow rate is varied to generate Reynolds numbers based on the scale of the obstacle in the approximate range 60 < Re < 500; the narrow dimension in the depth direction suppresses onset of unsteadiness and vortex shedding, so that the flows studied are found to be steady (aside from particle-scale fluctuations). Particles are observed to be depleted in the wake region of the obstacle. In certain cases, the entire wake is clear of particles; in other cases there is a portion of the wake in which particles recirculate while a portion of the wake is completely devoid of particles. Experimental observations reveal that if particles are forced into an initially particle-depleted region, they will eventually leave and will bring the wake to its original state, implying these are steady-state distributions.

physics.flu-dyn↗

arXiv2003

Transition to turbulence in particulate pipe flow

We investigate experimentally the influence of suspended particles on the transition to turbulence. The particles are monodisperse and neutrally-buoyant with the liquid. The role of the particles on the transition depends both upon the pipe to particle diameter ratios and the concentration. For large pipe-to-particle diameter ratios the transition is delayed while it is lowered for small ratios. A scaling is proposed to collapse the departure from the critical Reynolds number for pure fluid as a function of concentration into a single master curve.

physics.flu-dyn↗