109 citations · 125 across the 7 of their papers we have counts for
13 papers
Modelling mass transfer from a packed bed by fluid extraction
Timothy G. Myers, Abel Valverde, Maria Aguareles +2
A mathematical model describing the erosion or leaching of a solid material by a flowing fluid in a column is developed. This involves an advection-diffusion equation coupled to a…
Mathematical modelling of fibre coating
Maria Aguareles, Francesc Font, Tim Myers +1
In this report we formulate and analyse a mathematical model describing the evolution of a thin liquid film coating a wire via an extrusion process. We consider the Navier-Stokes e…
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…