IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v417y2022ics0096300321008407.html
   My bibliography  Save this article

Numerical simulation for nanofluid extravasation from a vertical segment of a cylindrical vessel into the surrounding tissue at the microscale

Author

Listed:
  • Ismaeel, A.M.
  • Mansour, M.A.
  • Ibrahim, F.S.
  • Hady, F.M.

Abstract

Heat transfer in the biological tissue during/after thermal therapy is dominated by the blood perfusion in the tissue. In this study we introduce a mathematical model to simulate the heat and nanoparticle transport in the tissue in the presence of a vertical vessel at the microscale. This model incorporates the effects of the nanoparticle Brownian motion, nanoparticle transport due to thermophoresis and heat transfer by radiation. We consider the nanoparticles and the interstitial fluid extravasate from the vessel into the surrounding tissue through a uniform distribution of pores at the vessel wall . We introduce similarity transformations to convert the governing equations into a system of ODEs, which we solve numerically using MATLAB. The model predictions show a significant influence of the vessel pore size on the heat transfer in the tissue. On the other hand, the nanoparticle transport across the tissue depends on the thermophoresis parameter. Furthermore, the heat removal from the tissue by the vessel strongly depends on the fluid extravasation velocity and the heat flux across the tissue outer boundary interface.

Suggested Citation

  • Ismaeel, A.M. & Mansour, M.A. & Ibrahim, F.S. & Hady, F.M., 2022. "Numerical simulation for nanofluid extravasation from a vertical segment of a cylindrical vessel into the surrounding tissue at the microscale," Applied Mathematics and Computation, Elsevier, vol. 417(C).
  • Handle: RePEc:eee:apmaco:v:417:y:2022:i:c:s0096300321008407
    DOI: 10.1016/j.amc.2021.126758
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300321008407
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2021.126758?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. Muhammad Ramzan & Muhammad Bilal & Jae Dong Chung, 2017. "Radiative Flow of Powell-Eyring Magneto-Nanofluid over a Stretching Cylinder with Chemical Reaction and Double Stratification near a Stagnation Point," PLOS ONE, Public Library of Science, vol. 12(1), pages 1-19, January.
    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. Ghulam Rasool & Ting Zhang, 2019. "Darcy-Forchheimer nanofluidic flow manifested with Cattaneo-Christov theory of heat and mass flux over non-linearly stretching surface," PLOS ONE, Public Library of Science, vol. 14(8), pages 1-23, August.
    2. Khan, A.U. & Hussain, S.T. & Nadeem, S., 2019. "Existence and stability of heat and fluid flow in the presence of nanoparticles along a curved surface by mean of dual nature solution," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 66-81.

    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:417:y:2022:i:c:s0096300321008407. 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.