IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v30y2022i01ns0218348x22500013.html
   My bibliography  Save this article

An Analytical Model For Effective Thermal Conductivity Of The Media Embedded With Fracture Networks Of Power Law Length Distributions

Author

Listed:
  • TONGJUN MIAO

    (School of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China)

  • AIMIN CHEN

    (��School of Chemistry and Chemical Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China)

  • LIJUAN JIANG

    (School of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China)

  • HUAJIE ZHANG

    (School of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China)

  • JUNFENG LIU

    (School of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, Henan, P. R. China)

  • BOMING YU

    (��School of Physics, Huazhong University of Science and Technology, Wuhan 430074, Hubei, P. R. China)

Abstract

The effective thermal conductivity of porous media is of steady interest in the design of new materials. In this study, an analytical model for dimensionless effective thermal conductivity of media embedded with fracture networks of the power law length distributions is proposed. It is found that the proposed dimensionless effective thermal conductivity is a function of micro-structural parameters of media, such as the porosity (ϕ) and fracture orientation (dip 𠜃 and azimuth φ). The present results show that the dimensionless effective thermal conductivity of the media increases with the increase in the ratio (ks/kf) and the power law exponent α at ks/kf < 1. Inversely, when ks/kf > 1, it decreases with the increase in the power law exponent α. In addition, the dimensionless effective thermal conductivity is gradually independent of the orientation as the ratio ks/kf > 1. The present model may provide a significant insight into the mechanism of heat transfer in the media embedded with fracture networks of power law length distributions.

Suggested Citation

  • Tongjun Miao & Aimin Chen & Lijuan Jiang & Huajie Zhang & Junfeng Liu & Boming Yu, 2022. "An Analytical Model For Effective Thermal Conductivity Of The Media Embedded With Fracture Networks Of Power Law Length Distributions," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-7, February.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:01:n:s0218348x22500013
    DOI: 10.1142/S0218348X22500013
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X22500013
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X22500013?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

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    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:wsi:fracta:v:30:y:2022:i:01:n:s0218348x22500013. 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: Tai Tone Lim (email available below). General contact details of provider: https://www.worldscientific.com/worldscinet/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.