IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v74y2007i1p8-19.html
   My bibliography  Save this article

Stability analysis of a degenerate hyperbolic system modelling a heat exchanger

Author

Listed:
  • Hanke, Michael
  • Henrik, K.
  • Olsson, A.
  • Strömgren, Magnus

Abstract

Mathematical modelling of a heat exchanger in a carbon dioxide heat pump, an evaporator, is considered. A reduced model, called the the zero Mach-number limit, is derived from the Euler equations of compressible liquid flow through elimination of time scales associated with sound waves. The well-posedness of the resulting partial differential-algebraic equation (PDAE) is investigated by analysis of a frozen coefficient linearisation as well as by numerical experiments.

Suggested Citation

  • Hanke, Michael & Henrik, K. & Olsson, A. & Strömgren, Magnus, 2007. "Stability analysis of a degenerate hyperbolic system modelling a heat exchanger," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 74(1), pages 8-19.
  • Handle: RePEc:eee:matcom:v:74:y:2007:i:1:p:8-19
    DOI: 10.1016/j.matcom.2006.06.027
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475406002114
    Download Restriction: Full text for ScienceDirect subscribers only

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Strömgren, Magnus & Hanke, Michael, 2009. "On the numerical approximation of a degenerated hyperbolic system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(5), pages 1585-1602.

    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:74:y:2007:i:1:p:8-19. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Haili He). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.