An advection–diffusion–reaction model for coffee percolation

Advection–diffusion–reaction equations are largely exploited in applied science, for their ability to describe real-life phenomena where mass transport and diffusion, as well as chemical reactions, occur. Here, these models are used to describe the percolation phenomena arising in espresso coffee ex...

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Bibliographic Details
Published in:Computational & applied mathematics 2022-09, Vol.41 (6), Article 229
Main Authors: Egidi, Nadaniela, Giacomini, Josephin, Maponi, Pierluigi, Perticarini, Alessia, Cognigni, Luca, Fioretti, Lauro
Format: Article
Language:English
Subjects:
Advection
Applications of Mathematics
Applied physics
Boundary value problems
Chemical reactions
Coffee
Computational mathematics
Computational Mathematics and Numerical Analysis
Diffusion
Iterative methods
Mass transport
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
Percolation
Reaction-diffusion equations
Reliability analysis
Transport phenomena
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Summary:Advection–diffusion–reaction equations are largely exploited in applied science, for their ability to describe real-life phenomena where mass transport and diffusion, as well as chemical reactions, occur. Here, these models are used to describe the percolation phenomena arising in espresso coffee extraction. The resulting initial/boundary value problem is solved using the Crank–Nicolson scheme and a nested fixed-point iteration. Mass conservation and positivity of the solution are guaranteed. The reliability of the model together with the proposed solving strategy is assessed experimentally, by comparing the efficiency of real and simulated extractions conducted under different physico-chemical conditions.
ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-022-01929-9