IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i13p2301-d853663.html
   My bibliography  Save this article

A Network Model for Electroosmotic and Pressure-Driven Flow in Porous Microfluidic Channels

Author

Listed:
  • Gonzalo García-Ros

    (Civil and Mining Engineering Department, Universidad Politécnica de Cartagena (UPCT), 30202 Cartagena, Spain)

  • Juan Francisco Sánchez-Pérez

    (Department of Applied Physics and Naval Technology, Universidad Politécnica de Cartagena (UPCT), 30202 Cartagena, Spain)

  • Julio Valenzuela

    (Metallurgical and Mining Engineering Department, Universidad Católica del Norte, Antofagasta 1240000, Chile)

  • Manuel Conesa

    (Department of Applied Physics and Naval Technology, Universidad Politécnica de Cartagena (UPCT), 30202 Cartagena, Spain)

  • Manuel Cánovas

    (Metallurgical and Mining Engineering Department, Universidad Católica del Norte, Antofagasta 1240000, Chile)

Abstract

In this work, the network simulation method is presented as a tool for the numerical resolution of the electroosmotic and pressure-driven flow problem in microchannels with rectangular and cylindrical geometries. Based on the Brinkman equation for steady flow and constant porosity, the network model is designed using spatial discretization. An equivalent electrical circuit is obtained by establishing an analogy between the physical variable fluid velocity and electric potential. The network model is solved quickly and easily employing an electrical circuit resolution code, providing solutions for the velocity profile in the channel cross-section and the total circulating flow. After simulating two practical cases, the suitability of the grid is discussed, relating the relative errors made in the variables of interest with the number of cells used. Finally, two other applications, one for rectangular geometries and the other for cylindrical channels, show the effects the main parameters controlling the flow in these types of channels have on velocities and total flow: the zeta potential of the soil pores, applied potential and pressure gradients, and the boundary condition modified by the zeta potential in the walls of the channel.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:13:p:2301-:d:853663
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/13/2301/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/13/2301/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Juan Francisco Sánchez-Pérez & Jose Andres Moreno Nicolas & Francisco Alhama & Manuel Canovas, 2020. "Study of Transition Zones in the Carbon Monoxide Catalytic Oxidation on Platinum Using the Network Simulation Method," Mathematics, MDPI, vol. 8(9), pages 1-16, August.
    2. Juan Francisco Sánchez-Pérez & María Rosa Mena-Requena & Manuel Cánovas, 2020. "Mathematical Modeling and Simulation of a Gas Emission Source Using the Network Simulation Method," Mathematics, MDPI, vol. 8(11), pages 1-18, November.
    3. 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.
    4. Noelia González Morales & Juan Francisco Sánchez-Pérez & Jose Andres Moreno Nicolás & Andreas Killinger, 2020. "Modelling of Alumina Splat Solidification on Preheated Steel Substrate Using the Network Simulation Method," Mathematics, MDPI, vol. 8(9), pages 1-17, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. 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).
    3. Chunli Huang & Xu Zhao & Weihu Cheng & Qingqing Ji & Qiao Duan & Yufei Han, 2022. "Statistical Inference of Dynamic Conditional Generalized Pareto Distribution with Weather and Air Quality Factors," Mathematics, MDPI, vol. 10(9), pages 1-25, April.
    4. Pérez Albornoz, C. & Escalante Soberanis, M.A. & Ramírez Rivera, V. & Rivero, M., 2022. "Review of atmospheric stability estimations for wind power applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 163(C).
    5. Juan Francisco Sánchez-Pérez & Guillermo Jorde-Cerezo & Adrián Fernández-Roiz & José Andrés Moreno-Nicolás, 2023. "Mathematical Modeling and Analysis Using Nondimensionalization Technique of the Solidification of a Splat of Variable Section," Mathematics, MDPI, vol. 11(14), pages 1-16, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:13:p:2301-:d:853663. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.