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Stability Analysis of a Reduced Heat Exchanger Model
Author(s) -
Hanke Michael,
Olsson K. Henrik A.,
Strömgren Magnus
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510376
Subject(s) - heat exchanger , limit (mathematics) , partial differential equation , nonlinear system , stability (learning theory) , mathematics , algebraic number , flow (mathematics) , mechanics , compressibility , euler equations , compressible flow , thermodynamics , computer science , physics , mathematical analysis , quantum mechanics , machine learning
We consider the mathematical model of a heat exchanger in a heat pumping system using carbon dioxide as refridgerant. From the Euler equations of compressible fluid flow we derive a reduced model, called the zero Mach‐number limit, by eliminating time scales associated with soundwaves. The reduced model is a highly nonlinear partial differential‐algebraic equation (PDAE). We analyse the stability of this model and show that it is possible to use simple spatial discretisations within the method of lines (MOL), a standard practice in many system simulation software, to simulate the system. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)