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The Relationship between the Darcy and Poiseuille Laws

Dipartimento di Scienze e Tecnologie, University of Sannio, 82100 Benevento, Italy
Author to whom correspondence should be addressed.
Academic Editors: Andrzej Wıtkowskı and Alexander Yakirevich
Water 2022, 14(2), 179;
Received: 15 October 2021 / Revised: 29 December 2021 / Accepted: 4 January 2022 / Published: 10 January 2022
(This article belongs to the Section Hydrogeology)
The Poiseuille and Darcy laws describe the velocity of groundwater flow under laminar conditions. These laws were deducted empirically in conduit and porous systems, respectively, and are widely used to model the groundwater flow. The analytical relationship between these hydraulic laws has been found by draining a tank-reservoir. Based on equations found, the discharge in a conduit under the Poiseuille law can be transformed in the same amount flowing inside a darcian system, and vice versa. This transformation occurs, for example, in karst aquifers, from the matrix to karst conduits during discharge phases, and from conduits to matrix during recharge phases. View Full-Text
Keywords: Poiseuille law; Darcy law; drainage; karst Poiseuille law; Darcy law; drainage; karst
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MDPI and ACS Style

Fiorillo, F.; Esposito, L.; Leone, G.; Pagnozzi, M. The Relationship between the Darcy and Poiseuille Laws. Water 2022, 14, 179.

AMA Style

Fiorillo F, Esposito L, Leone G, Pagnozzi M. The Relationship between the Darcy and Poiseuille Laws. Water. 2022; 14(2):179.

Chicago/Turabian Style

Fiorillo, Francesco, Libera Esposito, Guido Leone, and Mauro Pagnozzi. 2022. "The Relationship between the Darcy and Poiseuille Laws" Water 14, no. 2: 179.

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