Theory of rheology in confinement

Abstract

The viscosity of fluids is generally understood in terms of kinetic mechanisms, i.e., particle collisions, or thermodynamic ones as imposed through structural distortions upon e.g. applying shear. Often the former is less relevant, and (damped) Brownian particles are considered good fluid model systems. We formulate a general theoretical approach for rheology in confinement, based on the many particle diffusion equation, evaluated via classical density functional theory. We discuss the viscosity for the situation of two parallel walls in relative motion as a function of wall-to-wall distance.

5 pages, 3 figures

References in corpus (7)

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• A dynamic density functional theory for particles in a flowing solvent
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• Dynamical Density Functional Theory For Microswimmers
• Velocity gradient power functional for Brownian dynamics
• Stresses in non-equilibrium fluids: Exact formulation and coarse grained theory
• Structural nonequilibrium forces in driven colloidal systems
• A Gaussian theory for fluctuations in simple liquids
• Shear-induced laning transition in a confined colloidal film
• Rheology and structure of a suspension of deformable particles in plane Poiseuille flow
• Viscosity of a sheared correlated (near-critical) model fluid in confinement
• Dynamic Density Functional Theory with Inertia and Background Flow