Browsing by Author "Font Martínez, Francesc"
Now showing items 1-19 of 19
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A mathematical model for the energy stored in green roofs
(2023-03-13)
Article
Open AccessA simple mathematical model to estimate the energy stored in a green roof is developed. Analytical solutions are derived corresponding to extensive (shallow) and intensive (deep) substrates. Results are presented for the ... -
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 ... -
A one-phase Stefan problem with size-dependent thermal conductivity
(2018-07-02)
Article
Open AccessIn this paper a one-phase Stefan problem with size-dependent thermal conductivity is analysed. Approximate solutions to the problem are found via perturbation and numerical methods, and compared to the Neumann solution for ... -
Applications of Industrial Mathematics; 158th European Study Group with Industry, Barcelona, Spain, January 2731, 2020
(Springer, 2023-07-12)
Book
Restricted access - publisher's policy -
Beyond the classical Stefan problem
(Universitat Politècnica de Catalunya, 2014-07-18)
Doctoral thesis
Open AccessIn this thesis we develop and analyse mathematical models describing phase change phenomena linked with novel technological applications. The models are based on modifications to standard phase change theory. The mathematical ... -
How cortical waves drive fission of motile cells
(2020-03-24)
Article
Open AccessCytokinesis—the division of a cell into two daughter cells—is a key step in cell growth and proliferation. It typically occurs in synchrony with the cell cycle to ensure that a complete copy of the genetic information is ... -
Magnetic nanodrug delivery in non-Newtonian blood flows
(2022-09-04)
Article
Open AccessWith 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 (nanoparticles) in the bloodstream under the influence ... -
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 ... -
Memory and nonlocal effects of heat transport in a spherical nanoparticle
(Institute of Physics (IOP), 2021-11-01)
Article
Open AccessIn this paper a mathematical model describing the heat transport in a spherical nanoparticle subject to Newton heating at its surface is presented. The governing equations involve a phonon hydrodynamic equation for the ... -
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 ... -
Multidisciplinary Mathematical Modelling: Applications of Mathematics to the Real World
(Springer, 2021-04-14)
Book
Restricted access - publisher's policy -
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: ... -
Non-equilibrium molecular dynamics and continuum modelling of transient freezing of atomistic solids
(2021-01)
Article
Open AccessIn this work we investigate the transient solidification of a Lennard-Jones liquid using non-equilibrium molecular dynamics simulations and continuum heat transfer theory. The simulations are performed in slab-shaped boxes, ... -
Solution method for the time-fractional hyperbolic heat equation
(2021-10)
Article
Open AccessIn this article, we propose a method to solve the time-fractional hyperbolic heat equation. We first formulate a boundary value problem for the standard hyperbolic heat equation in a finite domain and provide an analytical ... -
Stress effects of silica particles in a semiconductor package molding compound
(2015-07-03)
Research report
Open AccessThe stresses induced on a silicon chip encased in an epoxy compound are considered due to absorption of moisture and the presence of silica particles in the coating. A range of different approaches are considered including ... -
Substrate melting during laser heating of nanoscale metal films
(2017-10-01)
Article
Open AccessWe investigate heat transfer mechanisms relevant to metal films of nanoscale thickness deposited on a silicon (Si) substrate coated by a silicon oxide (SiO2) layer and exposed to laser irradiation. Such a setup is commonly ...
