Browsing by Author "Myers, Timothy"
Now showing items 114 of 14

A mathematical model for the motion of an inflight soccer ball
Myers, Timothy; Mitchell, Sarah Louise (2013)
Article
Open AccessIn this paper, an analytical and numerical study of the threedimensional equations describing the motion through the air of a spinning ball is presented. The initial analysis involves constant drag coefficients, but is ... 
A mathematical model of carbon capture by adsorption
Font Martínez, Francesc; Myers, Timothy; Hennessy, Matthew G. (20210802)
Part of book or chapter of book
Restricted access  publisher's policyWe present a model to describe the capture of carbon by an adsorbing porous material occupying a circular crosssection column. The model consists of an advectionreactiondiffusion equation for the gas concentration coupled ... 
Boundary layer analysis and heat transfer of a nanofluid
MacDevette, M.M.; Myers, Timothy; Wetton, B. (201408)
Article
Open AccessA theoretical model for nanofluid flow, including Brownian motion and thermophoresis, is developed and analysed. Standard boundary layer theory is used to evaluate the heat transfer coefficient near a flat surface. The ... 
Energy conservation in the onephase supercooled Stefan problem
Myers, Timothy; Mitchell, Sarah Louise; Font Clos, Francesc (201212)
Article
Open AccessA onephase reduction of the onedimensional twophase supercooled Stefan problem is developed. The standard reduction, employed by countless authors, does not conserve energy and a recent energy conserving form is valid ... 
Industrial application of mathematics
Myers, Timothy (20100414)
Audiovisual
Open Access 
Mass transfer from a fluid flowing through a porous media
Myers, Timothy; Font Martínez, Francesc (20201201)
Article
Open AccessA mathematical model is developed for the process of mass transfer from a fluid flowing through a packed column. Mass loss, whether by absorption or adsorption, may be significant. This is appropriate for example when ... 
Mathematical modelling of carbon capture in a packed column by adsorption
Myers, Timothy; Font Martínez, Francesc; Hennessy, Matthew G. (202011)
Article
Open AccessA mathematical model of the process of carbon capture in a packed column by adsorption is developed and analysed. First a detailed study is made of the governing equations. Due to the complexity of the internal geometry ... 
Mathematical modelling of fibre coating
Aguareles Carrero, María; Font Martínez, Francesc; Myers, Timothy; Ripoll, Jordi (20210108)
Research report
Open AccessIn this report we formulate and analyse a mathematical model describing the evo lution of a thin liquid film coating a wire via an extrusion process. We consider the NavierStokes equations for a 2D incompressible Newtonian ... 
Mathematical modelling of phase change at the nanoscale
Myers, Timothy (201605)
Article
Restricted access  publisher's policyStandard mathematical models for phase change at the nanoscale involve an implicit assumption that the latent heat is released at the bulk phase change temperature. They also assume the latent heat to be constant (while ... 
Modelling mass transfer from a packed bed by fluid extraction
Myers, Timothy; Valverde Salamanca, Abel; Aguareles Carrero, María; Calvo Schwarzwälder, Marc; Font Martínez, Francesc (20220601)
Article
Open AccessA mathematical model describing the erosion or leaching of a solid material by a flowing fluid in a column is developed. This involves an advectiondiffusion equation coupled to a linear kinetic reaction describing the ... 
Modelling nanocrystal growth via the precipitation method
Fanelli, Claudia; Cregan, V.; Font Martínez, Francesc; Myers, Timothy (20210201)
Article
Open AccessA mathematical model for the growth of a single nanocrystal is generalised to deal with an arbitrarily large number of crystals. The basic model is a form of Stefan problem, describing diffusion of monomer over a moving ... 
Nanomatemàtiques: modelització matemàtica a la nanoescala
Myers, Timothy; Font Martínez, Francesc; Cregan, V.; MacDevette, M.M. (20141103)
Research report
Open AccessEn aquest article exposem tres problemes estudiats recentment al grup de Matemàtica Industrial del Centre de Recerca Matemàtica, en els quals l'aproximació del continu resulta vàlida per a descriure fenòmens a la nanoescala: ... 
On the onephase reduction of the Stefan problem with a variable phase change temperature
Myers, Timothy; Font, F (201502)
Article
Open AccessThe onephase reduction of the Stefan problem, where the phase change temperature is a variable, is analysed. It is shown that problems encountered in previous analyses may be traced back to an incorrectly formulated Stefan ... 
The flow and solidification of a thin fluid film on an arbitrary threedimensional surface
Myers, Timothy; Charpin, Jean P. F.; Chapman, Jonathan S (200208)
Article
Open AccessA model for the flow of a thin film, with and without solidification, on an arbitrary threedimensional substrate is presented. The problem is reduced to two simultaneous partial differential equations for the film and ...