Browsing by Author "Myers, Timothy"Més informacióMés informació

Now showing items 1-20 of 23

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

      Myers, Timothy; Mitchell, Sarah Louise (2013)
      Article
      Open Access
      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)
      Part of book or chapter of book
      Restricted access - publisher's policy
      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 ...

    • Adsorption of multiple contaminants from a fluid stream 

      Calvo Schwarzwälder, Marc; Valverde Salamanca, Abel; Born, Kendall; Cabrera Codony, Alba; Myers, Timothy; Noreldin, O; Gareo, A.G.; Aguareles Carrero, María; Sithole Mthethwa, H; Ahmedai, S; Ndebele, L; Mubai, E; Hagos, G (2023)
      Conference report
      Open Access
      We develop a mathematical model to describe an adsorption process in which two species compete to occupy the available sites on the adsorbing particles. The governing equations consist of a standard advection-diffusion and ...

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

      Auton, Lucy C.; Aguareles Carrero, María; Valverde Salamanca, Abel; Myers, Timothy; Calvo Schwarzwälder, Marc (Elsevier, 2024-06-01)
      Article
      Open Access
      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 ...

    • An analytical model for column adsorption with two competing contaminants 

      Calvo Schwarzwälder, Marc; Myers, Timothy; Cabrera Codony, Alba; Valverde Salamanca, Abel (2025-08-01)
      Article
      Restricted access - publisher's policy
      We develop a mathematical model to describe an adsorption process where two contaminants are simultaneously removed from a fluid mixture as it flows through a packed column. Both species compete to occupy the available ...

    • Boundary layer analysis and heat transfer of a nanofluid 

      MacDevette, M.M.; Myers, Timothy; Wetton, B. (2014-08)
      Article
      Open Access
      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
      Open Access
      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
      Open Access

    • Investigating the impact of adsorbent particle size on column adsorption kinetics through a mathematical model 

      Valverde Salamanca, Abel; Cabrera Codony, Alba; Calvo Schwarzwälder, Marc; Myers, Timothy (2024-01)
      Article
      Restricted access - publisher's policy
      Experimental data demonstrates that the breakthrough curves of column adsorption exhibit qualitative differences related to the size of the adsorbent particles. Standard models do not account for particle size, consequently, ...

    • Mass transfer from a fluid flowing through a porous media 

      Myers, Timothy; Font Martínez, Francesc (2020-12-01)
      Article
      Open Access
      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 analysis of a Sips-based model for column adsorption 

      Aguareles Carrero, María; Barrabés Vera, Esther; Myers, Timothy; Valverde Salamanca, Abel (2023-06)
      Article
      Open Access
      We investigate the dynamics of a contaminated fluid flowing through an adsorption column. We derive a one dimensional advection-diffusion equation coupled to a sink term that accounts for the contaminant adsorption. The ...

    • Mathematical modelling of carbon capture in a packed column by adsorption 

      Myers, Timothy; Font Martínez, Francesc; Hennessy, Matthew G. (2020-11)
      Article
      Open Access
      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)
      Research report
      Open Access
      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 flow and adsorption in a gas chromatograph 

      Cabrera Codony, Alba; Valverde Salamanca, Abel; Born, Kendall; Noreldin, Osman A.I.; Myers, Timothy (Elsevier, 2025-01)
      Article
      Open Access
      In this paper, a mathematical model is developed to describe the evolution of the concentration of compounds through a gas chromatography column. The model couples mass balances and kinetic equations for all components. ...

    • Mathematical modelling of phase change at the nanoscale 

      Myers, Timothy (2016-05)
      Article
      Restricted access - publisher's policy
      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
      Open Access
      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
      Open Access
      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)
      Research report
      Open Access
      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 development of a consistent mathematical model for adsorption in a packed column (and why standard models fail) 

      Myers, Timothy; Cabrera Codony, Alba; Valverde Salamanca, Abel (2023-03)
      Article
      Open Access
      In this paper we investigate the standard one-dimensional model for adsorption of a contaminant in a packed column. Initially we focus on two mass sink models: a full nonlinear Langmuir equation, including adsorption and ...

    • On the one-phase reduction of the Stefan problem with a variable phase change temperature 

      Myers, Timothy; Font, F (2015-02)
      Article
      Open Access
      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 ...