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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
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    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. 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.
    4. 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.
    Full references (including those not matched with items on IDEAS)

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