IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v418y2022ics0096300321009097.html
   My bibliography  Save this article

Computational analysis of an axisymmetric flow of Jeffrey fluid in a permeable micro channel

Author

Listed:
  • Mehboob, Hira
  • Maqbool, Khadija
  • Ullah, Hameed
  • Siddiqui, Abdul Majeed

Abstract

This study presents the computational analysis of axisymmetric flow of Jeffrey fluid in a permeable micro channel with linear reabsorption. Mathematical formulation of complex problem has been carried out in cylindrical coordinates due to the axisymmetric flow. The nonlinear set of partial differential equations is solved by the recursive approach and hydrodynamic aspects of axisymmetric flow of Jeffery fluid are explained in detail. Results are achieved for axial and radial velocity, hydrostatic pressure, stream function, leakage flux, and fractional reabsorption on the boundary. Numerical analysis has also been carried out to demonstrate the effects of emerging parameters due to linear reabsorption on the boundary of micro channel and relaxation time due to Jeffrey fluid parameters. The findings of the study suggest that axisymmetric flow decelerates by the growing values of relaxation time but the reabsorption rate gives the increasing effect on shear stress, volume flow rate, and transverse velocity. This study is useful for bioengineers to design the medical tools required for the flow of bio fluids.

Suggested Citation

  • Mehboob, Hira & Maqbool, Khadija & Ullah, Hameed & Siddiqui, Abdul Majeed, 2022. "Computational analysis of an axisymmetric flow of Jeffrey fluid in a permeable micro channel," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    • Handle: RePEc:eee:apmaco:v:418:y:2022:i:c:s0096300321009097
    DOI: 10.1016/j.amc.2021.126826
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300321009097
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2021.126826?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. Bhatti, M.M. & Abbas, M. Ali & Rashidi, M.M., 2018. "A robust numerical method for solving stagnation point flow over a permeable shrinking sheet under the influence of MHD," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 381-389.
    2. Fusi, L. & Farina, A., 2018. "Peristaltic axisymmetric flow of a Bingham fluid," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 1-15.
    3. Kaleemullah Bhatti & Abdul Majeed Siddiqui & Zarqa Bano, 2020. "Application of Recursive Theory of Slow Viscoelastic Flow to the Hydrodynamics of Second-Order Fluid Flowing through a Uniformly Porous Circular Tube," Mathematics, MDPI, vol. 8(7), pages 1-27, July.
    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. Ali, Bagh & Khan, Shahid Ali & Hussein, Ahmed Kadhim & Thumma, Thirupathi & Hussain, Sajjad, 2022. "Hybrid nanofluids: Significance of gravity modulation, heat source/ sink, and magnetohydrodynamic on dynamics of micropolar fluid over an inclined surface via finite element simulation," Applied Mathematics and Computation, Elsevier, vol. 419(C).
    2. Wei, Sun & Jafaryar, M. & Sheikholeslami, M. & Shafee, Ahmad & Nguyen-Thoi, Trung & Yazdani, Tulha Moaiz & Tlili, I. & Li, Zhixiong, 2019. "Simulation of nanomaterial turbulent modeling in appearance of compound swirl device concerning exergy drop," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    3. Badday, Alaa Jabbar & Harfash, Akil J., 2022. "Magnetohydrodynamic instability of fluid flow in a porous channel with slip boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    4. Umar Khan & Adnan & Naveed Ahmed & Syed Tauseef Mohyud-Din & Dumitru Baleanu & Ilyas Khan & Kottakkaran Sooppy Nisar, 2020. "A Novel Hybrid Model for Cu–Al 2 O 3 /H 2 O Nanofluid Flow and Heat Transfer in Convergent/Divergent Channels," Energies, MDPI, vol. 13(7), pages 1-13, April.
    5. Bagh Ali & Rizwan Ali Naqvi & Amna Mariam & Liaqat Ali & Omar M. Aldossary, 2020. "Finite Element Study for Magnetohydrodynamic (MHD) Tangent Hyperbolic Nanofluid Flow over a Faster/Slower Stretching Wedge with Activation Energy," Mathematics, MDPI, vol. 9(1), pages 1-18, December.

    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:418:y:2022:i:c:s0096300321009097. 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.