Air-permeable porous media host air within their pores. Upon removal from the material's interior, these porous media have the tendency to reabsorb air from the surrounding, acting as a suction pump. Therefore, the technique used to convert porous media into a pump consists of degassing the material to remove the air inside. The suction property when recovering the air can be used to move a liquid through a microfluidic channel. Porous media pumps are very accurate devices to move liquids in a completely controlled way. By studying the dynamics of the liquid front moved by these pumps, it is possible to extract characteristic properties of both the fluid and the porous material. In this article, we have developed a theoretical mathematical model that precisely characterizes the dynamics of a liquid moved by a degassed porous media pump through a microchannel by comparing it with experimental data. We have seen the differences between sealing the external surface of the pump so that it cannot absorb air from the outside, both mathematically and experimentally. We have observed that, in all cases, the theory fits satisfactorily with the experiments, corroborating the validity of the model. The creation of microfluidic pumps using porous media can be a very useful tool in various fields due to its long operating time and small size and the fact that it operates without any external power source.
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February 2025
Research Article|
February 28 2025
Mathematical model of fluid front dynamics driven by porous media pumps

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Andreu Benavent-Claró
;
Andreu Benavent-Claró
(Data curation, Formal analysis, Investigation, Writing – original draft)
1
Condensed Matter Physics Department, Physics Faculty, University of Barcelona
, Barcelona, Spain
2
Institute of Nanoscience and Nanotecnology (IN2UB), University of Barcelona
, Barcelona, Spain
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Yara Alvarez-Braña
;
Yara Alvarez-Braña
(Data curation, Methodology, Writing – review & editing)
3
Microfluidics Cluster UPV/EHU, BIOMICs Microfluidics Group, University of the Basque Country UPV/EHU
, Vitoria-Gasteiz, Spain
4
Microfluidics Cluster UPV/EHU, Analytical Microsystems & Materials for Lab-on-a-Chip (AMMa-LOAC) Group, University of the Basque Country UPV/EHU
, Vitoria-Gasteiz, Spain
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Fernando Benito-Lopez
;
Fernando Benito-Lopez
(Funding acquisition, Project administration, Resources, Supervision, Writing – review & editing)
4
Microfluidics Cluster UPV/EHU, Analytical Microsystems & Materials for Lab-on-a-Chip (AMMa-LOAC) Group, University of the Basque Country UPV/EHU
, Vitoria-Gasteiz, Spain
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Lourdes Basabe-Desmonts
;
Lourdes Basabe-Desmonts
a)
(Funding acquisition, Project administration, Resources, Supervision, Validation, Writing – review & editing)
3
Microfluidics Cluster UPV/EHU, BIOMICs Microfluidics Group, University of the Basque Country UPV/EHU
, Vitoria-Gasteiz, Spain
5
Basque Foundation of Science, IKERBASQUE
, Bilbao, Spain
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Aurora Hernandez-Machado
Aurora Hernandez-Machado
a)
(Funding acquisition, Project administration, Supervision, Validation, Writing – review & editing)
1
Condensed Matter Physics Department, Physics Faculty, University of Barcelona
, Barcelona, Spain
2
Institute of Nanoscience and Nanotecnology (IN2UB), University of Barcelona
, Barcelona, Spain
Search for other works by this author on:
Andreu Benavent-Claró
1,2
Yara Alvarez-Braña
3,4
Fernando Benito-Lopez
4
Lourdes Basabe-Desmonts
3,5,a)
Aurora Hernandez-Machado
1,2,a)
1
Condensed Matter Physics Department, Physics Faculty, University of Barcelona
, Barcelona, Spain
2
Institute of Nanoscience and Nanotecnology (IN2UB), University of Barcelona
, Barcelona, Spain
3
Microfluidics Cluster UPV/EHU, BIOMICs Microfluidics Group, University of the Basque Country UPV/EHU
, Vitoria-Gasteiz, Spain
4
Microfluidics Cluster UPV/EHU, Analytical Microsystems & Materials for Lab-on-a-Chip (AMMa-LOAC) Group, University of the Basque Country UPV/EHU
, Vitoria-Gasteiz, Spain
5
Basque Foundation of Science, IKERBASQUE
, Bilbao, Spain
Physics of Fluids 37, 027202 (2025)
Article history
Received:
December 11 2024
Accepted:
January 21 2025
Connected Content
A companion article has been published:
Gaining predictive power for porous media pumps
Citation
Andreu Benavent-Claró, Yara Alvarez-Braña, Fernando Benito-Lopez, Lourdes Basabe-Desmonts, Aurora Hernandez-Machado; Mathematical model of fluid front dynamics driven by porous media pumps. Physics of Fluids 1 February 2025; 37 (2): 027202. https://doi.org/10.1063/5.0252721
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