Active nematic flows confined in a two-dimensional channel with hybrid alignment at the walls: A unified picture

Abstract

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Boundaries control active channel flows

“…Similar flow states and transitions are also reported in other geometries, such as in circular confinement [15,19,30]. Recent work has also begun exploring the influence of varying and conflicting anchoring boundary conditions in active nematics in channels [24,31]. In general the interplay of the geometry of confinement and boundary conditions yields a rich variety of flow states, but coherent flow with a finite throughput in the channel is only achieved by finely tuning activity and other system parameters.…”

“…Channel. In a channel geometry, boundary conditions can differentially frustrate bend and splay distortions [31,43], allowing for distinct modes of spontaneous flow transitions to emerge. As in Ref.…”

Coexistence of Active and Hydrodynamic Turbulence in Two-Dimensional Active Nematics

“…The AN model [7,19,20] couples the evolution of the nematic phase with the incompressible Navier-Stokes equation endowed by a modified stress term. The nematic phase is represented by a second-order tensor:…”

Coexistence of active and hydrodynamic turbulence in two dimensional active nematics

“…The AN model [18][19][20] couples the evolution of the nematic phase with the incompressible Navier-Stokes equation endowed by a modified stress term. The nematic phase is represented by a second-order tensor:…”

“…We integrate Eqs. ( 1)-( 2) in a 2D periodic domain using a hybrid lattice-Boltzmann finite-difference method [20,21]. We impose a zero velocity field and a director field oriented along x and randomly perturbed by a 10% white noise as initial conditions.…”