IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v425y2022ics0096300322001576.html
   My bibliography  Save this article

Electroosmotic and pressure-driven slip flow of fractional viscoelastic fluids in microchannels

Author

Listed:
  • An, Shujuan
  • Tian, Kai
  • Ding, Zhaodong
  • Jian, Yongjun

Abstract

This study investigates the unsteady electroosmotic slip flow of viscoelastic fluid through a parallel plate microchannel under the combined effect of electroosmotic and pressure gradient forcings. Analytical solutions for velocity and potential distributions are derived using the Debye–Hackel linearization, Laplace transform, and residue theorem. Numerical solutions are also provided based on the finite difference method. The process through which the velocity and flow rate attain a steady state is related to the governing groups, including the fractional calculus parameter α, slip coefficient L, Deborah number De, normalized electrokinetic width K and ratio Π of the pressure to electroosmotic driving forces. Results show that an increase in α, De, L or Π increases the time required to reach a steady state. The steady flow rate depends on L and K but is independent of α and De. For the same slip coefficient, increases in α, De or K increase the slip velocity at the wall.

Suggested Citation

  • An, Shujuan & Tian, Kai & Ding, Zhaodong & Jian, Yongjun, 2022. "Electroosmotic and pressure-driven slip flow of fractional viscoelastic fluids in microchannels," Applied Mathematics and Computation, Elsevier, vol. 425(C).
  • Handle: RePEc:eee:apmaco:v:425:y:2022:i:c:s0096300322001576
    DOI: 10.1016/j.amc.2022.127073
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300322001576
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2022.127073?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Li, Junfeng & Si, Xinhui & Li, Botong & Cao, Limei & Zhang, Peipei, 2020. "The effects of depletion layer for electro-osmotic flow of fractional second-grade viscoelastic fluid in a micro-rectangle channel," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    2. Guo, Tian Liang & Zhang, KanJian, 2015. "Impulsive fractional partial differential equations," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 581-590.
    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. Zhao, Yongqiang & Tang, Yanbin, 2024. "Critical behavior of a semilinear time fractional diffusion equation with forcing term depending on time and space," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    2. Asgari, M. & Ezzati, R., 2017. "Using operational matrix of two-dimensional Bernstein polynomials for solving two-dimensional integral equations of fractional order," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 290-298.
    3. Zhu, Lin & Liu, Nabing & Sheng, Qin, 2023. "A simulation expressivity of the quenching phenomenon in a two-sided space-fractional diffusion equation," Applied Mathematics and Computation, Elsevier, vol. 437(C).
    4. Sun, Yuting & Hu, Cheng & Yu, Juan & Shi, Tingting, 2023. "Synchronization of fractional-order reaction-diffusion neural networks via mixed boundary control," Applied Mathematics and Computation, Elsevier, vol. 450(C).
    5. Xiaozhong Yang & Lifei Wu, 2020. "A New Kind of Parallel Natural Difference Method for Multi-Term Time Fractional Diffusion Model," Mathematics, MDPI, vol. 8(4), pages 1-19, April.
    6. Zhang, Zhi-Yong & Li, Guo-Fang, 2020. "Lie symmetry analysis and exact solutions of the time-fractional biological population model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    7. Kundu, Snehasis, 2018. "Suspension concentration distribution in turbulent flows: An analytical study using fractional advection–diffusion equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 135-155.
    8. Zhu, Zhen & Lu, Jun-Guo, 2021. "Robust stability and stabilization of hybrid fractional-order multi-dimensional systems with interval uncertainties: An LMI approach," Applied Mathematics and Computation, Elsevier, vol. 401(C).
    9. Wang, Wansheng & Huang, Yi, 2023. "Analytical and numerical dissipativity for the space-fractional Allen–Cahn equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 207(C), pages 80-96.

    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:eee:apmaco:v:425:y:2022:i:c:s0096300322001576. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.