IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v270y2015icp242-250.html
   My bibliography  Save this article

The flow of a micropolar fluid through a porous expanding channel: A Lie group analysis

Author

Listed:
  • Cao, Limei
  • Si, Xinhui
  • Zheng, Liancun

Abstract

In this paper, the flow of a micropolar fluid through a porous channel with deforming walls is investigated. The Lie group method is applied to determine symmetry reductions of partial differential equations. Compared with previous work, the similar variable for the microrotation velocity also is obtained, which is an extension of the case corresponding to the Newtonian fluids (Boutros et al., 2007). This problem we study here can be considered as an extension of the model discussed in Boutros et al. (2007). The effect of the permeation Reynolds number Re, the micropolar parameter K and the expansion ratio α are studied numerically and the results are plotted. Furthermore, the multiple solutions also can be found for some values of parameters.

Suggested Citation

  • Cao, Limei & Si, Xinhui & Zheng, Liancun, 2015. "The flow of a micropolar fluid through a porous expanding channel: A Lie group analysis," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 242-250.
    • Handle: RePEc:eee:apmaco:v:270:y:2015:i:c:p:242-250
    DOI: 10.1016/j.amc.2015.07.106
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315010280
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.07.106?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.

    Citations

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


    Cited by:

    1. Farooq, A.A. & Tripathi, D. & Elnaqeeb, Thanaa, 2019. "On the propulsion of micropolar fluid inside a channel due to ciliary induced metachronal wave," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 225-235.
    2. Naganthran, Kohilavani & Basir, Md Faisal Md & Kasihmuddin, Mohd Shareduwan Mohd & Ahmed, Sameh E. & Olumide, Falodun Bidemi & Nazar, Roslinda, 2020. "Exploration of dilatant nanofluid effects conveying microorganism utilizing scaling group analysis: FDM Blottner," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
    3. M. Saraswathy & D. Prakash & Putta Durgaprasad, 2022. "MHD Micropolar Fluid in a Porous Channel Provoked by Viscous Dissipation and Non-Linear Thermal Radiation: An Analytical Approach," Mathematics, MDPI, vol. 11(1), pages 1-23, December.
    4. Mahdy, A., 2019. "Aspects of homogeneous-heterogeneous reactions on natural convection flow of micropolar fluid past a permeable cone," Applied Mathematics and Computation, Elsevier, vol. 352(C), pages 59-67.

    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:270:y:2015:i:c:p:242-250. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.