24 citations · 99 across the 14 of their papers we have counts for
4 papers · 1 filter
Effective thermal conductivity of rectangular nanowires based on phonon hydrodynamics
Marc Calvo-Schwarzwälder, Matthew G. Hennessy, Pol Torres +2
A mathematical model is presented for thermal transport in nanowires with rectangular cross sections. Expressions for the effective thermal conductivity of the nanowire across a ra…
Modelling ultra-fast nanoparticle melting with the Maxwell-Cattaneo equation
Matthew G. Hennessy, Marc Calvo-Schwarzwälder, Timothy G. Myers
The role of thermal relaxation in nanoparticle melting is studied using a mathematical model based on the Maxwell--Cattaneo equation for heat conduction. The model is formulated in…
Asymptotic reduction of a porous electrode model for lithium-ion batteries
Iain R. Moyles, Matthew G. Hennessy, Timothy G. Myers +1
We present a porous electrode model for lithium-ion batteries using Butler--Volmer reaction kinetics. We model lithium concentration in both the solid and fluid phase along with so…
Asymptotic analysis of the Guyer-Krumhansl-Stefan model for nanoscale solidification
Matthew G. Hennessy, Marc Calvo Schwarzwälder, Timothy G. Myers
Nanoscale solidification is becoming increasingly relevant in applications involving ultra-fast freezing processes and nanotechnology. However, thermal transport on the nanoscale i…