109 citations · 192 across the 13 of their papers we have counts for
7 papers · 1 filter
Cellular automaton model for substitutional binary diffusion in solids
Helena Ribera, Brian Wetton, Timothy Myers
In this paper we use the cellular automaton (CA) approach to model one-dimensional binary diffusion in solids. Employing a very simple state change rule we define an asynchronous C…
Mathematical model for substitutional binary diffusion in solids
Helena Ribera, Brian Wetton, Timothy Myers
In this paper we detail the mechanisms that drive substitutional binary diffusion and derive appropriate governing equations. We focus on the one-dimensional case with insulated bo…
The one-dimensional Stefan problem with non-Fourier heat conduction
Marc Calvo-Schwarzwälder, Timothy G. Myers, Matthew G. Hennessy
We investigate the one-dimensional growth of a solid into a liquid bath, starting from a small crystal, using the Guyer-Krumhansl and Maxwell-Cattaneo models of heat conduction. By…
The Stefan problem with variable thermophysical properties and phase change temperature
Timothy G. Myers, Matthew G. Hennessy, Marc Calvo-Schwarzwälder
In this paper we formulate a Stefan problem appropriate when the thermophysical properties are distinct in each phase and the phase-change temperature is size or velocity dependent…
Does mathematics contribute to the nanofluid debate?
T. G. Myers, H. Ribera, V. Cregan
Recent experimental evidence has clearly demonstrated that nanofluids do not provide the greatly enhanced heat transfer predicted in the past. Despite seemingly conclusive proof th…
Optical diffraction from isolated nanoparticles
T. G. Myers, H. Ribera, W. S. Bacsa
When subjected to monochromatic incident light a nanoparticle will emit light which then interferes with the incident beam. With sufficient contrast and sufficiently close to the p…
Nanocrystal growth via the precipitation method
C. Fanelli, V. Cregan, F. Font +1
A mathematical model to describe the growth of an arbitrarily large number of nanocrystals from solution is presented. First, the model for a single particle is developed. By non-d…