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

Author

Listed:
  • Manuel Cánovas

    (Metallurgical and Mining Engineering Department, Universidad Católica del Norte, Avda. Angamos, Antofagasta 0610, Chile)

  • Iván Alhama

    (Civil Engineering Department, Universidad Politécnica de Cartagena, Paseo Alfonso XIII, 52 30203 Cartagena, Spain)

  • Gonzalo García

    (Civil Engineering Department, Universidad Politécnica de Cartagena, Paseo Alfonso XIII, 52 30203 Cartagena, Spain)

  • Emilio Trigueros

    (Mining, Geologic and Cartographic Engineering Department, Universidad Politécnica de Cartagena, Paseo Alfonso XIII, 52 30203 Cartagena, Spain)

  • Francisco Alhama

    (Applied Physics Department, Universidad Politécnica de Cartagena, Paseo Alfonso XIII, 52 30203 Cartagena, Spain)

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.

Suggested Citation

  • Manuel Cánovas & Iván Alhama & Gonzalo García & Emilio Trigueros & Francisco Alhama, 2017. "Numerical Simulation of Density-Driven Flow and Heat Transport Processes in Porous Media Using the Network Method," Energies, MDPI, vol. 10(9), pages 1-15, September.
    • Handle: RePEc:gam:jeners:v:10:y:2017:i:9:p:1359-:d:111386
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    References listed on IDEAS

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    1. Liu, Zhenyu & Yao, Yuanpeng & Wu, Huiying, 2013. "Numerical modeling for solid–liquid phase change phenomena in porous media: Shell-and-tube type latent heat thermal energy storage," Applied Energy, Elsevier, vol. 112(C), pages 1222-1232.
    2. Ciriello, V. & Bottarelli, M. & Di Federico, V. & Tartakovsky, D.M., 2015. "Temperature fields induced by geothermal devices," Energy, Elsevier, vol. 93(P2), pages 1896-1903.
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    Cited by:

    1. José Antonio Jiménez-Valera & Gonzalo García-Ros & Iván Alhama, 2021. "Numerical Simulation of Heat Transport Problems in Porous Media Coupled with Water Flow Using the Network Method," Energies, MDPI, vol. 14(18), pages 1-23, September.
    2. Gonzalo García-Ros & Juan Francisco Sánchez-Pérez & Julio Valenzuela & Manuel Conesa & Manuel Cánovas, 2022. "A Network Model for Electroosmotic and Pressure-Driven Flow in Porous Microfluidic Channels," Mathematics, MDPI, vol. 10(13), pages 1-19, July.
    3. Lekoko, Modisawatsona Lucas & Oloniiju, Shina Daniel & Magalakwe, Gabriel, 2022. "Analysis of buoyancy driven flow inside a vertical filter chamber," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).

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