IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v140y2017icp107-124.html
   My bibliography  Save this article

Three-dimensional compressible viscous micropolar fluid with cylindrical symmetry: Derivation of the model and a numerical solution

Author

Listed:
  • Dražić, Ivan
  • Mujaković, Nermina
  • Črnjarić-Žic, Nelida

Abstract

In this paper we consider the nonstationary 3D flow of a compressible viscous and heat-conducting micropolar fluid, which is in the thermodynamical sense perfect and polytropic. The fluid domain is the subset of R3 bounded with two coaxial cylinders that present solid thermoinsulated walls. We assume that the initial mass density, temperature, as well as the velocity and microrotation vectors are radially dependent only. The corresponding solution is also spatially radially dependent. We derive the mathematical model in the Lagrangian description and by using the Faedo–Galerkin method we introduce a system of approximate equations and construct its solutions. We also analyze two numerical examples.

Suggested Citation

  • Dražić, Ivan & Mujaković, Nermina & Črnjarić-Žic, Nelida, 2017. "Three-dimensional compressible viscous micropolar fluid with cylindrical symmetry: Derivation of the model and a numerical solution," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 140(C), pages 107-124.
    • Handle: RePEc:eee:matcom:v:140:y:2017:i:c:p:107-124
    DOI: 10.1016/j.matcom.2017.03.006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475417300824
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2017.03.006?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. Črnjarić-Žic, Nelida & Mujaković, Nermina, 2016. "Numerical analysis of the solutions for 1d compressible viscous micropolar fluid flow with different boundary conditions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 126(C), pages 45-62.
    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. Dražić, Ivan & Črnjarić-Žic, Nelida & Simčić, Loredana, 2019. "A shear flow problem for compressible viscous micropolar fluid: Derivation of the model and numerical solution," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 162(C), pages 249-267.
    2. Chirilă, Adina & Marin, Marin, 2021. "Wave propagation in diffusive microstretch thermoelasticity," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 189(C), pages 99-113.

    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. Dražić, Ivan & Črnjarić-Žic, Nelida & Simčić, Loredana, 2019. "A shear flow problem for compressible viscous micropolar fluid: Derivation of the model and numerical solution," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 162(C), pages 249-267.

    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:matcom:v:140:y:2017:i:c:p:107-124. 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/mathematics-and-computers-in-simulation/ .

    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.