38 citations · 122 across the 15 of their papers we have counts for
10 papers · 1 filter
A flow-pattern map for phase separation using the Navier-Stokes Cahn-Hilliard model
Aurore Naso, Lennon O'Naraigh
We use the Navier-Stokes-Cahn-Hilliard model equations to simulate phase separation with flow. We study coarsening - the growth of extended domains wherein the binary mixture phase…
Particle-laden viscous channel flows - model regularization and parameter study
Lennon O'Naraigh, Ricardo Barros
We characterize the flow of a viscous suspension in an inclined channel where the flow is maintained in a steady state under the competing influences of gravity and an applied pres…
Global modes in nonlinear non-normal evolutionary models: exact solutions, perturbation theory, direct numerical simulation, and chaos
Lennon O. Naraigh
This paper is concerned with the theory of generic non-normal nonlinear evolutionary equations, with potential applications in Fluid Dynamics and Optics. Two theoretical models are…
Flow-parametric regulation of shear-driven phase separation in two and three dimensions
Lennon O'Naraigh, Selma Shun, Aurore Naso
The Cahn-Hilliard equation with an externally-prescribed chaotic shear flow is studied in two and three dimensions. The main goal is to compare and contrast the phase separation in…
Absolute linear instability in laminar and turbulent gas/liquid two-layer channel flow
Lennon O. Naraigh, Peter D. M. Spelt, Stephen J. Shaw
We study two-phase stratified flow where the bottom layer is a thin laminar liquid and the upper layer is a fully-developed gas flow. The gas flow can be laminar or turbulent. To d…
An analytical connection between temporal and spatio-temporal growth rates in linear stability analysis
Lennon O Naraigh, Peter D. M. Spelt
We derive an exact formula for the complex frequency in spatio-temporal stability analysis that is valid for arbitrary complex wave numbers. The usefulness of the formula lies in t…
The role of advection in phase-separating binary liquids
Lennon O Naraigh
Using the advective Cahn-Hilliard equation as a model, we illuminate the role of advection in phase-separating binary liquids. The advecting velocity is either prescribed, or is de…
Bounds on the mixing enhancement for a stirred binary fluid
Lennon O Naraigh, Jean-Luc Thiffeault
The Cahn-Hilliard equation describes phase separation in binary liquids. Here we study this equation with spatially-varying sources and stirring, or advection. We specialize to sym…
Dynamical Effects and Phase Separation in Thin Films
Lennon O Naraigh, Jean-Luc Thiffeault
We study phase separation in thin films using the Navier--Stokes Cahn--Hilliard equations in the lubrication approximation, modeling substrate-film interactions with a van der Waal…
Bubbles and Filaments: Stirring a Cahn-Hilliard Fluid
Lennon O Naraigh, Jean-Luc Thiffeault
The advective Cahn-Hilliard equation describes the competing processes of stirring and separation in a two-phase fluid. Intuition suggests that bubbles will form on a certain scale…