Flow of colloidal solids and fluids through constrictions: dynamical density functional theory versus simulation

Abstract

Using both dynamical density functional theory and particle-resolved Brownian dynamics simulations, we explore the flow of two-dimensional colloidal solids and fluids driven through a linear channel with a geometric constriction. The flow is generated by a constant external force acting on all colloids. The initial configuration is equilibrated in the absence of flow and then the external force is switched on instantaneously. Upon starting the flow, we observe four different scenarios: a complete blockade, a monotonic decay to a constant particle flux (typical for a fluid), a damped oscillatory behaviour in the particle flux, and a long-lived stop-and-go behaviour in the flow (typical for a solid). The dynamical density functional theory describes all four situations but predicts infinitely long undamped oscillations in the flow which are always damped in the simulations. We attribute the mechanisms of the underlying stop-and-go flow to symmetry conditions on the flowing solid. Our predictions are verifiable in real-space experiments on magnetic colloidal monolayers which are driven through structured microchannels and can be exploited to steer the flow throughput in microfluidics.

References in corpus (41)

• Simulating Dynamical Features of Escape Panic
• Nanofluidics, from bulk to interfaces
• Dynamic Density Functional Theory of Fluids
• Friction effects and clogging in a cellular automaton model for pedestrian dynamics
• Dynamical density functional theory and its application to spinodal decomposition
• Aggregation of self-propelled colloidal rods near confining walls
• Derivation of the phase field crystal model for colloidal solidification
• Fraction of clogging configurations sampled by granular hopper flow
• Tension and stiffness of the hard sphere crystal-fluid interface
• Traveling and resting crystals in active systems
• Dynamical Density Functional Theory For Microswimmers
• Generalized dynamical density functional theory for classical fluids and the significance of inertia and hydrodynamic interactions
• Lane reduction in driven 2d-colloidal systems through microchannels
• Dynamical density functional theory with hydrodynamic interactions and colloids in unstable traps
• Colloidal crystal growth at externally imposed nucleation clusters
• Dynamical density functional theory for colloidal particles with arbitrary shape
• Growth modes of quasicrystals
• Free energies, vacancy concentrations and density distribution anisotropies in hard--sphere crystals: A combined density functional and simulation study
• A dynamic density functional theory for particles in a flowing solvent
• Entropic electrokinetics: recirculation, particle separation and negative mobility
• Hydrodynamically enforced entropic trapping of Brownian particles
• Dynamic Density Functional Theory with hydrodynamic interactions and fluctuations
• Derivation of a three-dimensional phase-field-crystal model for liquid crystals from density functional theory
• Impact of blood rheology on wall shear stress in a model of the middle cerebral artery
• Pinning and depinning of a classic quasi-one-dimensional Wigner crystal in the presence of a constriction
• Density profiles of a colloidal liquid at a wall under shear flow
• Soft-core particles freezing to form a quasicrystal and a crystal-liquid phase
• The overdamped limit of dynamic density functional theory: Rigorous results
• Modeling diffusion in colloidal suspensions by dynamical density functional theory using fundamental measure theory of hard spheres
• Driven colloidal suspensions in confinement and density functional theory: Microstructure and wall-slip
• Controlling colloidal sedimentation using time dependent shear
• Density functional theory of freezing for soft interactions in two dimensions
• Pattern formation in colloidal explosions
• Crystallization of magnetic dipolar monolayers: a density functional approach
• Compatibility waves drive crystal growth on patterned substrates
• Density Functional approach to Nonlinear Rheology
• Feedback-induced oscillations in one-dimensional colloidal transport
• Sedimentation of a two-dimensional colloidal mixture exhibiting liquid-liquid and gas-liquid phase separation: a dynamical density functional theory study
• Flow of magnetic repelling grains in a two-dimensional silo
• Giant enhancement of hydrodynamically enforced entropic trapping in thin channels
• Kinetic Density Functional Theory: A microscopic approach to fluid mechanics

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• Nonequilibrium phase transitions of sheared colloidal microphases: Results from dynamical density functional theory
• Clogging, Diode and Collective Effects of Skyrmions in Funnel Geometries
• Classical density functional theory for a two-dimensional isotropic ferrogel model with labeled particles
• Clogging and Transport of Driven Particles in Asymmetric Funnel Arrays
• Interfacially driven transport in narrow channels
• Shear-induced laning transition in a confined colloidal film