Exploració per autor "Myers, Timothy"Més informacióMés informació

Ara es mostren els items 1-15 de 15

    • A mathematical model for the motion of an in-flight soccer ball 

      Myers, Timothy; Mitchell, Sarah Louise (2013)
      Article
      Accés obert
      In 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 

      Font Martínez, Francesc; Myers, Timothy; Hennessy, Matthew G. (2021-08-02)
      Capítol de llibre
      Accés restringit per política de l'editorial
      We 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 ...

    • An analytical investigation into solute transport and sorption via intra-particle diffusion in the dual-porosity limit 

      Auton, Lucy C.; Aguareles Carrero, Maria; Valverde Salamanca, Abel; Myers, Timothy; Calvo Schwarzwälder, Marc (Elsevier, 2024-06-01)
      Article
      Accés obert
      We develop a mathematical model for adsorption based on averaging the flow around, and diffusion inside, adsorbent particles in a column. The model involves three coupled partial differential equations for the contaminant ...

    • Boundary layer analysis and heat transfer of a nanofluid 

      MacDevette, M.M.; Myers, Timothy; Wetton, B. (2014-08)
      Article
      Accés obert
      A 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 

      Myers, Timothy; Mitchell, Sarah Louise; Font Clos, Francesc (2012-12)
      Article
      Accés obert
      A 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 

      Myers, Timothy (2010-04-14)
      Audiovisual
      Accés obert

    • Mass transfer from a fluid flowing through a porous media 

      Myers, Timothy; Font Martínez, Francesc (2020-12-01)
      Article
      Accés obert
      A 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. (2020-11)
      Article
      Accés obert
      A 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 (2021-01-08)
      Report de recerca
      Accés obert
      In 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 

      Myers, Timothy (2016-05)
      Article
      Accés restringit per política de l'editorial
      Standard 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 (2022-06-01)
      Article
      Accés obert
      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 linear kinetic reaction describing the ...

    • Modelling nanocrystal growth via the precipitation method 

      Fanelli, Claudia; Cregan, V.; Font Martínez, Francesc; Myers, Timothy (2021-02-01)
      Article
      Accés obert
      A 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. (2014-11-03)
      Report de recerca
      Accés obert
      En 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 

      Myers, Timothy; Font, F (2015-02)
      Article
      Accés obert
      The 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 

      Myers, Timothy; Charpin, Jean P. F.; Chapman, Jonathan S (2002-08)
      Article
      Accés obert
      A 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 ...