Browsing by Author "Myers, Timothy"
Now showing items 1-14 of 14
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A mathematical model for the motion of an in-flight soccer ball
(2013)
Article
Open AccessIn this paper, an analytical and numerical study of the three-dimensional 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
(2021-08-02)
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 cross-section column. The model consists of an advection-reaction-diffusion equation for the gas concentration coupled ... -
Boundary layer analysis and heat transfer of a nanofluid
(2014-08)
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 one-phase supercooled Stefan problem
(2012-12)
Article
Open AccessA one-phase reduction of the one-dimensional two-phase 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
(2010-04-14)
Audiovisual
Open Access -
Mass transfer from a fluid flowing through a porous media
(2020-12-01)
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
(2020-11)
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
(2021-01-08)
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 Navier-Stokes equations for a 2D incompressible Newtonian ... -
Mathematical modelling of phase change at the nanoscale
(2016-05)
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
(2022-06-01)
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 advection-diffusion equation coupled to a linear kinetic reaction describing the ... -
Modelling nanocrystal growth via the precipitation method
(2021-02-01)
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
(2014-11-03)
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 one-phase reduction of the Stefan problem with a variable phase change temperature
(2015-02)
Article
Open AccessThe one-phase 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 three-dimensional surface
(2002-08)
Article
Open AccessA model for the flow of a thin film, with and without solidification, on an arbitrary three-dimensional substrate is presented. The problem is reduced to two simultaneous partial differential equations for the film and ...
