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Energies 2017, 10(9), 1359; doi:10.3390/en10091359

Numerical Simulation of Density-Driven Flow and Heat Transport Processes in Porous Media Using the Network Method

1
Metallurgical and Mining Engineering Department, Universidad Católica del Norte, Avda. Angamos, Antofagasta 0610, Chile
2
Civil Engineering Department, Universidad Politécnica de Cartagena, Paseo Alfonso XIII, 52 30203 Cartagena, Spain
3
Mining, Geologic and Cartographic Engineering Department, Universidad Politécnica de Cartagena, Paseo Alfonso XIII, 52 30203 Cartagena, Spain
4
Applied Physics Department, Universidad Politécnica de Cartagena, Paseo Alfonso XIII, 52 30203 Cartagena, Spain
*
Author to whom correspondence should be addressed.
Received: 22 June 2017 / Revised: 23 August 2017 / Accepted: 5 September 2017 / Published: 8 September 2017
(This article belongs to the Special Issue Mathematical and Computational Modeling in Geothermal Engineering)
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Abstract

Density-driven flow and heat transport processes in 2-D porous media scenarios are governed by coupled, non-linear, partial differential equations that normally have to be solved numerically. In the present work, a model based on the network method simulation is designed and applied to simulate these processes, providing steady state patterns that demonstrate its computational power and reliability. The design is relatively simple and needs very few rules. Two applications in which heat is transported by natural convection in confined and saturated media are studied: slender boxes heated from below (a kind of Bénard problem) and partially heated horizontal plates in rectangular domains (the Elder problem). The streamfunction and temperature patterns show that the results are coherent with those of other authors: steady state patterns and heat transfer depend both on the Rayleigh number and on the characteristic Darcy velocity derived from the values of the hydrological, thermal and geometrical parameters of the problems. View Full-Text
Keywords: density driven flow; porous media; streamfunction formulation; network method; natural convection density driven flow; porous media; streamfunction formulation; network method; natural convection
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Cánovas, M.; Alhama, I.; García, G.; Trigueros, E.; Alhama, F. Numerical Simulation of Density-Driven Flow and Heat Transport Processes in Porous Media Using the Network Method. Energies 2017, 10, 1359.

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