109 citations · 192 across the 13 of their papers we have counts for
14 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…
Magnetic nanodrug delivery in non-Newtonian blood flows
C. Fanelli, K. Kaouri, T. N. Phillips +2
With the goal of determining strategies to maximise drug delivery to a specific site in the body, we developed a mathematical model for the transport of drug nanocarriers (nanopart…
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…
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…
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…