Rheology and structure of elastic capsule suspensions within rectangular channels

Abstract

Three-dimensional simulations of the pressure-driven flow dynamics of elastic capsule suspensions within both slit and rectangular cross-section channels are presented. The simulations utilize the Immersed Boundary Method and the Lattice-Boltzmann...

Order–disorder transitions within deformable particle suspensions in planar Poiseuille flow

“…2017). Full details and validation of the model can be found in a recent paper by the author (Millett 2023) or other similar studies (e.g. Krüger, Kaoui & Harting 2014; Schaaf & Stark 2017), but the important points are discussed below.…”

“…The simulations utilize a lattice Boltzmann method (LBM) coupled with an immersed boundary method (IBM) technique to model the deformable capsule suspensions, an approach used commonly for such non-stationary fluid-structure interaction problems (Krüger et al 2017). Full details and validation of the model can be found in a recent paper by the author (Millett 2023) or other similar studies (e.g. Krüger, Kaoui & Harting 2014;Schaaf & Stark 2017), but the important points are discussed below.…”

“…(2.6) with contributions from in-plane shear (E s ), out-of-plane bending (E b ), and volumetric changes (E v ). Full details of these terms can be found in Millett (2023). Briefly, the in-plane shear energy is described by the Skalak model (Skalak et al 1973), which consists of a shear modulus κ s and an area-dilation modulus κ a (here, κ a /κ s = 2).…”

“…Considering a single capsule, the deformation energy is with contributions from in-plane shear (), out-of-plane bending (), and volumetric changes (). Full details of these terms can be found in Millett (2023). Briefly, the in-plane shear energy is described by the Skalak model (Skalak et al.…”

Lattice-Boltzmann Modelling for Inertial Particle Microfluidics Applications — A Tutorial Review

“…Inertial migration was also observed to decrease due to agglomeration of particles with adhesive properties [173] while the focusing length was observed to increase with Reynolds number [174]. Millet [175] determined that the multi-directional confinement of the suspension hinders inertial focusing due to the capsule-free layers that develop in the two transverse directions. The thickness of capsule-free layer in a given cross-section depends on the wall length (in a transverse direction).…”