Browsing by Author "Calvo Schwarzwälder, Marc"

Now showing items 1-5 of 5

    • A mathematical model for the energy stored in green roofs 

      Aguareles Carrero, María; Calvo Schwarzwälder, Marc; Font Martínez, Francesc; Myers, Timothy G. (2023-03-13)
      Article
      Open Access
      A 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 ...

    • 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 ...

    • 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 ...

    • Non-Fourier heat conduction: The Maxwell-Cattaneo equations 

      Calvo Schwarzwälder, Marc (Universitat Politècnica de Catalunya, 2015-10)
      Master thesis
      Open Access
      We study the derivation, properties and solution methods of the classical and the hyperbolic heat transfer equations. Some results to approximate the hyperbolic model with the classical model for small values of the thermal ...

    • The mathematical model of a soap film. Theory of minimal surfaces 

      Calvo Schwarzwälder, Marc (Universitat Politècnica de Catalunya, 2014-07)
      Bachelor thesis
      Open Access
      This thesis is an introduction to the theory of minimal surfaces. After introducing the basic concepts of functional analysis, variational calculus and theory of surfaces, a theorem existence of nonparametric minimal ...