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Stability analysis of a degenerate hyperbolic system modelling a heat exchanger

Author

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  • 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
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    References listed on IDEAS

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    1. S.L. Campbell & W. Marszalek, 1999. "The Index of an Infinite Dimensional Implicit System," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 5(1), pages 18-42, March.
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    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.

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