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pro vyhledávání: '"Myers, Timothy"'
A mathematical model is developed to describe column adsorption when the contaminant constitutes a significant amount of the fluid. This requires modelling the variation of pressure and velocity, in addition to the usual advection-diffusion-adsorptio
Externí odkaz:
http://arxiv.org/abs/2404.02939
Autor:
Auton, Lucy C., Aguareles, Maria, Valverde, Abel, Myers, Timothy G., Calvo-Schwarzwalder, Marc
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 concentration both in the ca
Externí odkaz:
http://arxiv.org/abs/2311.10161
Autor:
Myers, Timothy G., Valverde, Abel, Aguareles, Maria, Calvo-Schwarzwalder, Marc, Font, Francesc
Publikováno v:
International Journal of Heat and Mass Transfer, Volume 188, 1 June 2022, 122562
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 mass transfer between the solid
Externí odkaz:
http://arxiv.org/abs/2201.10390
Autor:
Auton, Lucy C., Aguareles, Maria, Valverde, Abel, Myers, Timothy G., Calvo-Schwarzwalder, Marc
Publikováno v:
In Applied Mathematical Modelling June 2024 130:827-851
Autor:
Ben Amar, Marwa, Mallek, Maryam, Valverde, Abel, Monclús, Hèctor, Myers, Timothy G., Salvadó, Victoria, Cabrera-Codony, Alba
Publikováno v:
In Science of the Total Environment 20 March 2024 917
Publikováno v:
In International Journal of Heat and Mass Transfer January 2024 218
The purpose of this paper is to construct a new class of separable Banach spaces $\K^p[\mathbb{B}], \; 1\leq p \leq \infty$. Each of these spaces contain the $ \mcL^p[\mathbb{B}] $ spaces, as well as the space $\mfM[\R^\iy]$, of finitely additive mea
Externí odkaz:
http://arxiv.org/abs/2002.11512
In this paper we detail the mechanisms that drive substitutional binary diffusion and derive appropriate governing equations. We focus on the one-dimensional case with insulated boundary conditions. Asymptotic expansions are used in order to simplify
Externí odkaz:
http://arxiv.org/abs/1911.07359
In this paper we use the cellular automaton (CA) approach to model one-dimensional binary diffusion in solids. Employing a very simple state change rule we define an asynchronous CA model and take its continuum limit to obtain the governing equations
Externí odkaz:
http://arxiv.org/abs/1911.08322
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