IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v387y2008i11p2403-2415.html
   My bibliography  Save this article

Peristaltic flow of a couple stress fluid in an annulus: Application of an endoscope

Author

Listed:
  • Mekheimer, Kh.S.
  • Abd elmaboud, Y.

Abstract

This paper discusses the influence of an endoscope on the peristaltic flow of a couple stress fluid in an annulus under a zero Reynolds number and long wavelength approximation. The inner tube is uniform, rigid, while the outer tube has a sinusoidal wave traveling down its wall. Analytical expressions for the axial velocity, stream function and axial pressure gradient are established. The flow is investigated in a wave frame of reference moving with the velocity of the wave. Numerical calculations are carried out for the pressure rise, frictional forces and trapping. The features of the flow characteristics are analyzed by plotting graphs and discussed in detail.

Suggested Citation

  • Mekheimer, Kh.S. & Abd elmaboud, Y., 2008. "Peristaltic flow of a couple stress fluid in an annulus: Application of an endoscope," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(11), pages 2403-2415.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:11:p:2403-2415
    DOI: 10.1016/j.physa.2007.12.017
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437107013313
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2007.12.017?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. El Naby, Abd El Hakeem Abd & El Misery, A.E.M. & Abd El Kareem, M.F., 2006. "Effects of a magnetic field on trapping through peristaltic motion for generalized Newtonian fluid in channel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 79-92.
    2. Eldabe, N.T.M. & El-Sayed, M.F. & Ghaly, A.Y. & Sayed, H.M., 2007. "Peristaltically induced transport of a MHD biviscosity fluid in a non-uniform tube," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 253-266.
    3. Hayat, T. & Ali, N., 2006. "On mechanism of peristaltic flows for power-law fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 188-194.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Riaz, A. & Zeeshan, A. & Bhatti, M.M. & Ellahi, R., 2020. "Peristaltic propulsion of Jeffrey nano-liquid and heat transfer through a symmetrical duct with moving walls in a porous medium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    2. Sadaf, Hina & Akbar, Muhammad Usman & Nadeem, S., 2018. "Induced magnetic field analysis for the peristaltic transport of non-Newtonian nanofluid in an annulus," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 148(C), pages 16-36.
    3. Abdul Manan & Saif Ur Rehman & Nageen Fatima & Muhammad Imran & Bagh Ali & Nehad Ali Shah & Jae Dong Chung, 2022. "Dynamics of Eyring–Powell Nanofluids When Bioconvection and Lorentz Forces Are Significant: The Case of a Slender Elastic Sheet of Variable Thickness with Porous Medium," Mathematics, MDPI, vol. 10(17), pages 1-20, August.
    4. Saima Noreen, 2013. "Mixed Convection Peristaltic Flow of Third Order Nanofluid with an Induced Magnetic Field," PLOS ONE, Public Library of Science, vol. 8(11), pages 1-15, November.

    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. Eldabe, N.T.M. & El-Sayed, M.F. & Ghaly, A.Y. & Sayed, H.M., 2007. "Peristaltically induced transport of a MHD biviscosity fluid in a non-uniform tube," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 253-266.
    2. Ali, Nasir & Hayat, Tasawar & Asghar, Saleem, 2009. "Peristaltic flow of a Maxwell fluid in a channel with compliant walls," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 407-416.
    3. Rashid, M. & Ansar, K. & Nadeem, S., 2020. "Effects of induced magnetic field for peristaltic flow of Williamson fluid in a curved channel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    4. Hayat, T. & Hussain, Q. & Ali, N., 2008. "Influence of partial slip on the peristaltic flow in a porous medium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3399-3409.

    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:phsmap:v:387:y:2008:i:11:p:2403-2415. 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: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.