IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v107y2018icp222-227.html
   My bibliography  Save this article

Interaction of weak shocks in drift-flux model of compressible two-phase flows

Author

Listed:
  • Kuila, S.
  • Raja Sekhar, T.

Abstract

We consider the Riemann problem for an isothermal no-slip compressible gas-liquid drift-flux model of multi-phase flows governing two mass conservation equations and one mixture momentum equation. We establish a global result for the existence and uniqueness of a solution to the Riemann problem. We obtain one parameter family of elementary wave curves explicitly. Further, we derive a necessary and sufficient condition to ensure the existence of a shock wave or a simple wave for a 1-family and a 3-family of characteristics on the initial data in the solution of the Riemann problem. Finally, we prove the result of Von Neumann’s concerning the overtaking of two weak shocks of same family.

Suggested Citation

  • Kuila, S. & Raja Sekhar, T., 2018. "Interaction of weak shocks in drift-flux model of compressible two-phase flows," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 222-227.
    • Handle: RePEc:eee:chsofr:v:107:y:2018:i:c:p:222-227
    DOI: 10.1016/j.chaos.2017.12.030
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077917305386
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2017.12.030?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. Nath, Triloki & Gupta, R.K. & Singh, L.P., 2017. "Solution of Riemann problem for ideal polytropic dusty gas," Chaos, Solitons & Fractals, Elsevier, vol. 95(C), pages 102-110.
    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. Shah, Sarswati & Singh, Randheer & Jena, Jasobanta, 2022. "Steepened wave in two-phase Chaplygin flows comprising a source term," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    2. Jana, Sumita & Kuila, Sahadeb, 2022. "Exact solution of the flux perturbed Riemann problem for Cargo-LeRoux model in a van der Waals gas," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    3. Minhajul, & Mondal, Rakib, 2023. "Wave interaction in isothermal drift-flux model of two-phase flows," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

    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. Minhajul, & Mondal, Rakib, 2023. "Wave interaction in isothermal drift-flux model of two-phase flows," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    2. Jana, Sumita & Kuila, Sahadeb, 2022. "Exact solution of the flux perturbed Riemann problem for Cargo-LeRoux model in a van der Waals gas," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).

    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:107:y:2018:i:c:p:222-227. 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.