Stability analysis of a degenerate hyperbolic system modelling a heat exchanger

Michael Hanke, K. Henrik, Amy Olsson () and Magnus Strömgren

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 74, issue 1, 8-19

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.

Keywords: Reduced Euler equations; Degenerate hyperbolic equations; Zero Mach-number limit; Stability analysis; Energy estimate; Partial differential-algebraic equations (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:74:y:2007:i:1:p:8-19

DOI: 10.1016/j.matcom.2006.06.027

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