33 citations · 52 across the 2 of their papers we have counts for
3 papers
Non-local effects and size-dependent properties in Stefan problems with Newton cooling
Marc Calvo-Schwarzwälder
We model the growth of a one-dimensional solid by considering a modified Fourier law with a size-dependent effective thermal conductivity and a Newton cooling condition at the inte…
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…
A slip-based model for the size-dependent effective thermal conductivity of nanowires
M. Calvo-Schwarzwälder, M. G. Hennessy, P. Torres +2
The heat flux across a nanowire is computed based on the Guyer-Krumhansl equation. Slip conditions with a slip length depending on both temperature and nanowire radius are introduc…