IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v67y2014icp26-37.html
   My bibliography  Save this article

Flow of fractal fluid in pipes: Non-integer dimensional space approach

Author

Listed:
  • Tarasov, Vasily E.

Abstract

Using a generalization of vector calculus for the case of non-integer dimensional space we consider a Poiseuille flow of an incompressible viscous fractal fluid in the pipe. Fractal fluid is described as a continuum in non-integer dimensional space. A generalization of the Navier–Stokes equations for non-integer dimensional space, its solution for steady flow of fractal fluid in a pipe and corresponding fractal fluid discharge are suggested.

Suggested Citation

  • Tarasov, Vasily E., 2014. "Flow of fractal fluid in pipes: Non-integer dimensional space approach," Chaos, Solitons & Fractals, Elsevier, vol. 67(C), pages 26-37.
    • Handle: RePEc:eee:chsofr:v:67:y:2014:i:c:p:26-37
    DOI: 10.1016/j.chaos.2014.06.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077914001039
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2014.06.008?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. Gabryś, Elżbieta & Rybaczuk, Marek & Kędzia, Alicja, 2006. "Blood flow simulation through fractal models of circulatory system," Chaos, Solitons & Fractals, Elsevier, vol. 27(1), pages 1-7.
    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. Zhang, Yong & Sun, HongGuang & Stowell, Harold H. & Zayernouri, Mohsen & Hansen, Samantha E., 2017. "A review of applications of fractional calculus in Earth system dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 29-46.
    2. Spineanu, F. & Vlad, M., 2015. "Self-organization of the vorticity field in two-dimensional quasi-ideal fluids: The statistical and field-theoretical formulations," Chaos, Solitons & Fractals, Elsevier, vol. 81(PB), pages 473-479.
    3. Tarasov, Vasily E., 2021. "Nonlocal quantum system with fractal distribution of states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).

    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. Wang, Jiang & Sun, Li & Fei, Xiangyang & Zhu, Bing, 2007. "Chaos analysis of the electrical signal time series evoked by acupuncture," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 901-907.
    2. Natenael B Semmineh & Junzhong Xu & Jerrold L Boxerman & Gary W Delaney & Paul W Cleary & John C Gore & C Chad Quarles, 2014. "An Efficient Computational Approach to Characterize DSC-MRI Signals Arising from Three-Dimensional Heterogeneous Tissue Structures," PLOS ONE, Public Library of Science, vol. 9(1), pages 1-13, January.
    3. Xinmei Luo & Shengming Liao, 2018. "Numerical Study on Melting Heat Transfer in Dendritic Heat Exchangers," Energies, MDPI, vol. 11(10), pages 1-11, September.

    More about this item

    Statistics

    Access and download statistics

    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:chsofr:v:67:y:2014:i:c:p:26-37. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.