An advection–diffusion–reaction model for coffee percolation

Egidi, Nadaniela; Giacomini, Josephin; Maponi, Pierluigi; Perticarini, Alessia; Cognigni, Luca; Fioretti, Lauro

doi:10.1007/s40314-022-01929-9

Cited by 5 publications

(5 citation statements)

References 26 publications

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“…To reduce the number of computations, in MATLAB is easy to optimize through vectorization of the set of variables in the system of Equations ( 1)- (5). Some advantages of implementing this strategy are concise and simple programming and reduction of processing time.…”

Section: Vectorizationmentioning

confidence: 99%

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Shared Memory Semi-Implicit Solver for Hydrodynamical Instability Processes

Kielbowicz¹,

Fernández²,

Saal³

et al. 2023

OJFD

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The Advection-Diffusion Reaction (ADR) equation appears in many problems in nature. This constitutes a general model that is useful in various scenarios, from porous media to atmospheric processes. Particularly, it is used at the interface between two fluids where different types of instabilities due to surface mobility may appear. Together with the ADR equation, the Darcy-Brinkman model describes the phenomena known as fingering that appear in different contexts. The study of this type of system gains in complexity when the number of chemical species dissolved in both fluids increases. With more solutes, the increasing complexity of this phenomenon generally requires much computational power. To face the need for more computational resources, we build a solver tool based on an Alternating Direction Implicit (ADI) scheme that can be run in Central Processing Unit (CPU) and Graphic Processing Unit (GPU) architectures on any notebook. The implementation is done using the MATLAB platform to compare both versions. It is shown that using the GPU version strongly saves both resources and calculation times.

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Section: Vectorizationmentioning

confidence: 99%

“…Several examples appear in the literature where the ADR equation was applied not only to solve environmental processes, but also most daily life issues [5]. Meanwhile, the use of Graphics Processing Unit (GPU) has deserved much attention lately.…”

Section: Introductionmentioning

confidence: 99%

Shared Memory Semi-Implicit Solver for Hydrodynamical Instability Processes

Kielbowicz¹,

Fernández²,

Saal³

et al. 2023

OJFD

View full text Add to dashboard Cite

show abstract

“…Mathematically, the initial conditions are given in Equations ( 21) and (22), and the boundary conditions in Equations ( 23) and (24).…”

Section: Initial Conditions and Boundary Conditions For Case Bmentioning

confidence: 99%

“…[19][20][21] Various approaches can be used to model the transport processes in porous beds. Typically, continuum models [22][23][24] or discrete pore-scale models 25,26 are used. The optimal design strategy requires reasonable computational effort, so we opt for the 1D transport dispersive model at the continuum level.…”

mentioning

confidence: 99%

Model‐based design of stratified packings for enhanced mass transfer using optimal control theory

Eppink,

Kuhn,

Briesen

2023

AIChE Journal

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Various examples show that stratified columns can improve the transport performance of particle packings. However, to date, there is no universal strategy to design these packings to yield optimal performance. This study proposes a model‐based approach for designing particle packings in which mass transfer occurs between a liquid phase and a stationary phase using optimal control theory. The primary objective is to provide a general design strategy that is applicable across different unit operations in chemical, pharmaceutical, and food applications. Optimal control is utilized to determine the optimal particle diameter as a function of the axial position within the column. We demonstrate the approach using two case studies and three different optimization criteria. Numerical results indicate that the proposed method is highly effective, for example, the solvent demand is reduced by up to . Moreover, the optimally graded packing yields a significantly sharper breakthrough curve of an adsorption column.

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“…In [13], a one-dimensional percolation model is proposed and used to calculate the Extraction Yield (EY), i.e., an important indicator used by the coffee industry to describe the extraction efficiency. A similar percolation model is used in [14] to predict the EY and the proposed numerical approach ensures the positivity of the concentrations and the mass conservation. The same solving strategy is also adopted in [15] where the percolation model is generalised for the prediction of an arbitrary number of chemical compounds.…”

Section: Introductionmentioning

confidence: 99%

Computer Percolation Models for Espresso Coffee: State of the Art, Results and Future Perspectives

et al. 2023

Self Cite

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Coffee is one of the most consumed beverages in the world. This has two main consequences: a high level of competitiveness among the players operating in the sector and an increasing pressure from the supply chain on the environment. These two aspects have to be supported by scientific research to foster innovation and reduce the negative impact of the coffee market on the environment. In this paper, we describe a mathematical model for espresso coffee extraction that is able to predict the chemical characterisation of the coffee in the cup. Such a model has been tested through a wide campaign of chemical laboratory analyses on espresso coffee samples extracted under different conditions. The results of such laboratory analyses are compared with the simulation results obtained using the aforementioned model. The comparison shows a close agreement between the real and in silico extractions, revealing that the model is a very promising scientific tool to take on the challenges of the coffee market.

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An advection–diffusion–reaction model for coffee percolation

Cited by 5 publications

References 26 publications

Shared Memory Semi-Implicit Solver for Hydrodynamical Instability Processes

Shared Memory Semi-Implicit Solver for Hydrodynamical Instability Processes

Model‐based design of stratified packings for enhanced mass transfer using optimal control theory

Computer Percolation Models for Espresso Coffee: State of the Art, Results and Future Perspectives

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