1 citations · 4 across the 15 of their papers we have counts for
15 papers
Bounds on the Spreading Radius in Droplet Impact: The Inviscid Case
Alidad Amirfazli, Miguel D. Bustamante, Yating Hu +1
We consider the classical problem of droplet impact and droplet spread on a smooth surface in the case of an ideal inviscid fluid. We revisit the rim-lamella model of Roisman et al…
Analysis of the Spreading Radius in Droplet Impact: The Two-Dimensional Case
Lennon Ó Náraigh, Juan Mairal
We study droplet-impact problems in a three-dimensional cylindrical or equivalent two-dimensional Cartesian geometry. Such structures do have an approximate experimental realizatio…
Symmetry-Breaking in Point-Heated Droplets
Khang Ee Pang, Charles Cuvillier, Yutaku Kita +1
We investigate theoretically the stability of thermo-capillary convection within a droplet when heated by a point source from below. To model the droplet, we use a mathematical mod…
Convergence Analysis of the Geometric Thin-Film Equation
Lennon Ó Náraigh, Khang Ee Pang, Richard J. Smith
The Geometric Thin-Film equation is a mathematical model of droplet spreading in the long-wave limit, which includes a regularization of the contact-line singularity. We show that…
A new convergence analysis of the particle method for the Camassa-Holm equation
Lennon Ó Náraigh, Khang Ee Pang, Richard J. Smith
We present a new self-contained convergence analysis of the particle method that can be applied to a range of PDEs, including the Camassa-Holm equation. It is a development of the…
A Batched GPU Methodology for Numerical Solutions of Partial Differential Equations
Enda Carroll, Andrew Gloster, Miguel D. Bustamante +1
In this paper we present a methodology for data accesses when solving batches of Tridiagonal and Pentadiagonal matrices that all share the same left-hand-side (LHS) matrix. The int…
Linear and Nonlinear Stability Analysis in Microfluidic Systems
Lennon Ó Náraigh, Daniel R. Jansen van Vuuren
In this article we use analytical and numerical modeling to describe parallel viscous two-phase flows in microchannels. The focus is on idealized two-dimensional geometries, with a…
A large-scale statistical study of the coarsening rate in models of Ostwald-Ripening
Lennon Ó Náraigh, Andrew Gloster
In this article we look at the coarsening rate in two standard models of Ostwald Ripening. Specifically, we look at a discrete droplet population model, which in the limit of an in…
A Geometric Diffuse-Interface Method for Droplet Spreading
Darryl D. Holm, Lennon Ó Náraigh, Cesare Tronci
This paper exploits the theory of geometric gradient flows to introduce an alternative regularization of the thin-film equation. The solution properties of this regularization are…
A differential-equation model shows the proximate cause of the glass ceiling in European academia
Lennon Ó Náraigh
We introduce a model based on Ordinary Differential Equations to describe how two mutually exclusive groups progress through a career hierarchy, whether in a single organization, o…
A mathematical framework for determining the stability of steady states of reaction-diffusion equations with periodic source terms
Lennon Ó Náraigh, Khang Ee Pang
We develop a mathematical framework for determining the stability of steady states of generic nonlinear reaction-diffusion equations with periodic source terms, in one spatial dime…
Modelling the growth rate of a tracer gradient using stochastic differential equations
Lennon Ó Náraigh
We develop a model in two dimensions to characterise the growth rate of a tracer gradient mixed by a statistically homogeneous flow with rapid temporal variations. % % The model is…
Interfacial instability of turbulent two-phase stratified flow: Multi-equation turbulent modelling with rapid distortion
L. Ó Náraigh, P. Spelt, O. Matar +1
We investigate the linear stability of a flat interface that separates a liquid layer from a fully-developed turbulent gas flow. In this context, linear-stability analysis involves…
Interfacial instability in turbulent flow over a liquid film in a channel
Lennon Ó Náraigh, Peter Spelt, Omar Matar +1
We revisit here the stability of a deformable interface that separates a fully-developed turbulent gas flow from a thin layer of laminar liquid. Unlike previous work, the turbulent…
Chemical reactions in the presence of surface modulation and stirring
Khalid Kamhawi, Lennon Ó Náraigh
We study the dynamics of simple reactions where the chemical species are confined on a general, time-modulated surface, and subjected to externally-imposed stirring. The study of t…